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NSI @ CEvNS etc Danny Marfatia

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Page 1: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

NSI @ CEvNS etc

Danny Marfatia

Page 2: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

Possible tension in standard oscillation picture

Discrepancy in mass-squared difference driven by Super-K’sday-night asymmetry measurement:

1710.09360 1704.04711

Page 3: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

Nonstandard interactions in matter

✏f↵� ⌘ ✏fL↵� + ✏fR↵�

Vector interaction relevant for propagation:

=) ✏↵�ei�↵� ⌘

X

f

✏f↵�Nf

Ne

LNSI = �2p2GF

X

↵,�,f,C

✏fC↵� [⌫↵�⇢PL⌫� ]

⇥̄f�⇢PC f

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↵,� = e, µ, ⌧, C = L,R, f = u, d, e<latexit sha1_base64="fVOuTCZW8pxrk1mYtgryR9i7uOU=">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</latexit><latexit sha1_base64="iFaLuxk6G8ACEMIZMP+t1CcyvmQ=">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</latexit><latexit sha1_base64="iFaLuxk6G8ACEMIZMP+t1CcyvmQ=">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</latexit><latexit sha1_base64="Nrdv4tstsj/0K1FHMt68CL4vuhY=">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</latexit>

V = 2p2GFNeE

0

@1 + ✏ee ✏eµei�eµ ✏e⌧ei�e⌧

✏eµe�i�eµ ✏µµ ✏µ⌧ei�µ⌧

✏e⌧e�i�e⌧ ✏µ⌧e�i�µ⌧ ✏⌧⌧

1

A

<latexit sha1_base64="MClBEYhRVE+7M4zuYGFYTAAlTTU=">AAADSXicdVLLihNBFK3u+Bjbx2TGpZvCQRmRhO4MeQyDMCg+FiIjmMxAKjbVldtJMdUPq6qF0PS/+A1+hBt37vwHNy4UcWV1koHpxFxoOPfcc8+tvtwgFVxp1/1u2bUrV69d37rh3Lx1+852fWd3oJJMMuizRCTyLKAKBI+hr7kWcJZKoFEg4DQ4f1bWTz+CVDyJ3+lZCqOITmIecka1ofwdyx/gJ7hF1AepW/il/wK/8QE/x0RAqPdJABMe51RKOityxljhePgxJpAqLkx7DlDgh5dzEmUFvM85Sad8ma4qNK1KyrxwCHHWbRqbfQxTkmtc1f2CWfNfyhrVV2wwa6y6Vacaak6bAfF4uSwi+WSqHzmOX99zm4fddqd7gEtw0D7slKDX7vTa2Gu689g7fn30+RNC6MSvfyPjhGURxJoJqtTQc1M9MraaMwFmSKYgpeycTmBoYEwjUKN8fgkFfmCYMQ4Tab5Y4zl7uSOnkVKzKDDKiOqpWq2V5P9qw0yHvVHO4zTTELPFoDATWCe4PCs85hKYFjMDKJPcvBWzKZWUaXN85RIu/hRvBoNW03Ob3luzjadoEVvoHrqP9pGHuugYvUInqI+Y9cX6Yf2yfttf7Z/2H/vvQmpby567qBK12j9YUxfq</latexit><latexit sha1_base64="CkJ94UWt4QTG8WXAcURUyVA6/ZY=">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</latexit><latexit sha1_base64="CkJ94UWt4QTG8WXAcURUyVA6/ZY=">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</latexit><latexit sha1_base64="LhSJf0+m74D3iXKzT1JO9veO2Rs=">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</latexit>

On earth Nu = Nd = 3Ne<latexit sha1_base64="DszB0ToqJojLwn9YRH0VVFZhFWc=">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</latexit><latexit sha1_base64="H+DVWsAGTf4lFmAGkQUgL8PQ/G0=">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</latexit><latexit sha1_base64="H+DVWsAGTf4lFmAGkQUgL8PQ/G0=">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</latexit><latexit sha1_base64="K6CP5TiZ9vztbDzLylwI1WaYDbU=">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</latexit>

Page 4: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

1805.04530

Matter effects if NSI violate lepton universality or/and flavor

Page 5: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

Iso-day-night asymmetry contours

1704.04711

Page 6: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

1704.04711

Hyper-K and JUNO can detect NSI

Page 7: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

Has seen CEvNS on 14.6 kg of CsI at 6.7 sigma

Data are consistent with SM at 1.5 sigma

Can probe NSI under contact approximation provided mediator is heavier than momentum transfer, 50 MeV

Spectrum constrains coupling for any mediator mass

Sensitive only to spin-independent interactions

COHERENT

Page 8: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

Standard Model spectrum

Q2↵,SM =

�ZgVp +NgVn

�2<latexit sha1_base64="wz7jsiNetNpM4lC+tYkOIRW5nXc=">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</latexit><latexit sha1_base64="xMbvpsKguEOOiEmgw2ZDPBMyWfQ=">AAACIHicdZBBaxNBFMdnq9Z21TbVo5fBIFQqYTdg0x6E0l68KAk1aWk2WWYnbzdDZmeHmbfSsOQT+Bl6Eb9JLx4U0Zt+j96dJKJW9A8Dj9//Pd68f6KlsBgE37yVGzdvrd5eW/fv3L23sVnbut+zRWk4dHkhC3OaMAtSKOiiQAmn2gDLEwknyeRo7p+8AWNFoV7jVMMgZ5kSqeAMHYprrU5cRUzqMXsaIZxjdfxyRmfD5vNIQorbZ1msh72dV1mshr3IiGyMT4ZN3/fjWj1o7O/vhq2Aho1gIerIbhg8+03qBztX799CXbfj2tdoVPAyB4VcMmv7YaBxUDGDgkuY+VFpQTM+YRn0XalYDnZQLQ6c0ceOjGhaGPcU0gX9c6JiubXTPHGdOcOx/dubw395/RLTvUEllC4RFF8uSktJsaDztOhIGOAop65g3Aj3V8rHzDCOLtN5CL9u/3/RazbCoBF2XBqHZKk18pA8ItskJC1yQF6QNukSTi7IJflIPnnvvA/eZ+/LsnXF+znzgFyT9/0HghGliw==</latexit><latexit sha1_base64="xMbvpsKguEOOiEmgw2ZDPBMyWfQ=">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</latexit><latexit sha1_base64="xweqaSqlyyU7dJotC5uTIUs9MCc=">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</latexit>

gVn = �1

2' �10gVp

<latexit sha1_base64="u28UJCu09/Qqrj78bJngggznX8w=">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</latexit><latexit sha1_base64="/c88DS95X6bzXzB4hkqkl1Z68nw=">AAACDXicdVDLSgMxFM34rOOr6kLETbAKbiyJoG0XgujGpYKtQh9DJk3b0ExmTDJCGfoDbvwVNy4UcetW3OnGrZ9h2oov9EDgcM653NzjR4Jrg9CzMzQ8Mjo2nppwJ6emZ2bTc/MlHcaKsiINRahOfaKZ4JIVDTeCnUaKkcAX7MRv7/f8k3OmNA/lselErBqQpuQNTomxkpdebXqyVtrZSHAltDm42YUVzQN2BjcwanpRreS6rpfOoGyhsI1zCOIs6gNaZRujrS8ls5t/fVx8eVs69NJPlXpI44BJQwXRuoxRZKoJUYZTwbpuJdYsIrRNmqxsqSQB09Wkf00XrlmlDhuhsk8a2Fe/TyQk0LoT+DYZENPSv72e+JdXjk0jX024jGLDJB0sasQCmhD2qoF1rhg1omMJoYrbv0LaIopQYwvslfB5+/+ktJnFKIuPbBt7YIAUWAYrYB1gkAO74AAcgiKg4AJcgRtw61w6186dcz+IDjkfMwvgB5yHd2BsnZQ=</latexit><latexit sha1_base64="/c88DS95X6bzXzB4hkqkl1Z68nw=">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</latexit><latexit sha1_base64="9TEVPEvzL7gcOOEbNypxRfWgf38=">AAACDXicdVDLSgMxFM3UVx1fVZduglVwY0kKtnYhFN24rGAf0NYhk6ZtaCYzJhmhDP0BN/6KGxeKuHXvzr8xfeALPRA4nHMuN/f4keDaIPTupObmFxaX0svuyura+kZmc6umw1hRVqWhCFXDJ5oJLlnVcCNYI1KMBL5gdX9wNvbrN0xpHspLM4xYOyA9ybucEmMlL7PX8+RV7eQwwa3Q5mB+BFuaB+waHmLU86Krmuu6XiaLcqVSARcRxDk0AbRKAaOjLyULZqh4mbdWJ6RxwKShgmjdxCgy7YQow6lgI7cVaxYROiA91rRUkoDpdjK5ZgT3rdKB3VDZJw2cqN8nEhJoPQx8mwyI6evf3lj8y2vGpnvcTriMYsMknS7qxgKaEI6rgR2uGDViaAmhitu/QtonilBjCxyX8Hn7/6SWz2GUwxcoWz6d1ZEGO2AXHAAMiqAMzkEFVAEFt+AePIIn5855cJ6dl2k05cxmtsEPOK8f3TmZew==</latexit>

Page 9: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

Q2↵,NSI =

"Z

✓gVp +

3g2

2p2GF (Q2 +M2

Z0)

◆+N

✓gVn +

3g2

2p2GF (Q2 +M2

Z0)

◆#2

<latexit sha1_base64="H8WXq6GV9Y1Zk9ySiSxfc/O1W8c=">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</latexit><latexit sha1_base64="aLno1E+iwkyBfXF3Ox5HFp9mZKQ=">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</latexit><latexit sha1_base64="aLno1E+iwkyBfXF3Ox5HFp9mZKQ=">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</latexit><latexit sha1_base64="zU+CTZ/MOxjya9Dhrsaj9JyZMNs=">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</latexit>

Light vector mediator:

1708.4255

Page 10: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

For heavy mediator, data sensitive to g/M_Z’

For light mediator, sensitivity to g only. NSI matter effect due to forward scattering depends on g/M_Z’, so constraint does not apply to matter NSI arising from light mediator

Spectral information breaks degeneracy for light mediator

Q↵,NSI = �Q↵,SM<latexit sha1_base64="KAA01zhSOZdl73JvJKJye8lZrJ0=">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</latexit><latexit sha1_base64="ZqmS1fWetUuevq568TdxUIY2b2o=">AAACGHicdZC7SgNBFIZn4y3GW9TSZjAKFhp3BY0WQtBGC0WJuUASwuxkNhmcvTBzVgzLPoaND2JjI6iIbTofRGsniXhDfxg4fP85nDm/HQiuwDRfjMTQ8MjoWHI8NTE5NT2Tnp0rKT+UlBWpL3xZsYlignusCBwEqwSSEdcWrGyf7/f88gWTivveGXQCVndJy+MOpwQ0aqTXTxtRjYigTVZrwC4hOi4cxvHu2m9cOIrjlFYjnTGzOztbVs7EVtbsC2uyZZmbXySTX3q9ub+YeDtppLu1pk9Dl3lABVGqapkB1CMigVPB4lQtVCwg9Jy0WFWXHnGZqkf9w2K8rEkTO77UzwPcp98nIuIq1XFt3ekSaKvfXg/+5VVDcLbrEfeCEJhHB4ucUGDwcS8l3OSSURAdXRAquf4rpm0iCQWdZS+Ez9v/L0obWcvMWqc6jT00UBItoEW0giyUQ3l0gE5QEVF0hW7RA3o0ro0748l4HrQmjI+ZefRDRvcdW5Ojtg==</latexit><latexit sha1_base64="ZqmS1fWetUuevq568TdxUIY2b2o=">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</latexit><latexit sha1_base64="YvCATTA1DlfE1ngUhcARjBwcYjc=">AAACGHicdZDLSgMxFIYzXmu9VV26CRbBhdaMYGsXQtGNLhRFq4VOKZk0bUMzF5IzYhnmMdz4Km5cKOLWnW9jphYvRX8IHL7/HE7O74ZSaCDk3Robn5icms7MZGfn5hcWc0vLVzqIFONVFshA1VyquRQ+r4IAyWuh4tRzJb92e4epf33DlRaBfwn9kDc82vFFWzAKBjVz2+fN2KEy7NJNB/gtxKcXx0myvzWKL06SJGvUzOVJoVwu2iWC7QIZCBtStMnuN8mjoc6auTenFbDI4z4wSbWu2ySERkwVCCZ5knUizUPKerTD66b0qcd1Ix4cluB1Q1q4HSjzfMAD+nMipp7Wfc81nR6Frh71UviXV4+gvdeIhR9GwH32uagdSQwBTlPCLaE4A9k3BWVKmL9i1qWKMjBZpiF83f5/cbVTsEnBPif5ysEwjgxaRWtoA9mohCroCJ2hKmLoDj2gJ/Rs3VuP1ov1+tk6Zg1nVtAvWW8fmIOfbQ==</latexit>

1708.4255

✏eff / g2

2MEr +M2Z0

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Page 11: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

... but no ⌫e coupling<latexit sha1_base64="CGsfoV3QzexZt2ZQ7C8hEAvZJ6U=">AAACBHicdVC7TgJBFJ3FF+ILtaSZCCZWm11AkI5oY4mJgAlsyOwwwITZmc08TMiGwsZfsbHQGFs/ws6/cXiYqNGT3OTknHtz7z1hzKjSnvfhpFZW19Y30puZre2d3b3s/kFLCSMxaWLBhLwJkSKMctLUVDNyE0uCopCRdji+mPntWyIVFfxaT2ISRGjI6YBipK3Uy+Zc14Wh0ZALWOhy0yMFiIWxq/mwl817rl/yS+VT6Lm1Wq1SrVriFUuVYhn6rjdHHizR6GXfu32BTUS4xgwp1fG9WAcJkppiRqaZrlEkRniMhqRjKUcRUUEyf2IKj63ShwMhbXEN5+r3iQRFSk2i0HZGSI/Ub28m/uV1jB6cBQnlsdGE48WigWFQCzhLBPapJFiziSUIS2pvhXiEJMLa5paxIXx9Cv8nraLr26yuivn6+TKONMiBI3ACfFAFdXAJGqAJMLgDD+AJPDv3zqPz4rwuWlPOcuYQ/IDz9gm4jZbm</latexit><latexit sha1_base64="CGsfoV3QzexZt2ZQ7C8hEAvZJ6U=">AAACBHicdVC7TgJBFJ3FF+ILtaSZCCZWm11AkI5oY4mJgAlsyOwwwITZmc08TMiGwsZfsbHQGFs/ws6/cXiYqNGT3OTknHtz7z1hzKjSnvfhpFZW19Y30puZre2d3b3s/kFLCSMxaWLBhLwJkSKMctLUVDNyE0uCopCRdji+mPntWyIVFfxaT2ISRGjI6YBipK3Uy+Zc14Wh0ZALWOhy0yMFiIWxq/mwl817rl/yS+VT6Lm1Wq1SrVriFUuVYhn6rjdHHizR6GXfu32BTUS4xgwp1fG9WAcJkppiRqaZrlEkRniMhqRjKUcRUUEyf2IKj63ShwMhbXEN5+r3iQRFSk2i0HZGSI/Ub28m/uV1jB6cBQnlsdGE48WigWFQCzhLBPapJFiziSUIS2pvhXiEJMLa5paxIXx9Cv8nraLr26yuivn6+TKONMiBI3ACfFAFdXAJGqAJMLgDD+AJPDv3zqPz4rwuWlPOcuYQ/IDz9gm4jZbm</latexit><latexit sha1_base64="CGsfoV3QzexZt2ZQ7C8hEAvZJ6U=">AAACBHicdVC7TgJBFJ3FF+ILtaSZCCZWm11AkI5oY4mJgAlsyOwwwITZmc08TMiGwsZfsbHQGFs/ws6/cXiYqNGT3OTknHtz7z1hzKjSnvfhpFZW19Y30puZre2d3b3s/kFLCSMxaWLBhLwJkSKMctLUVDNyE0uCopCRdji+mPntWyIVFfxaT2ISRGjI6YBipK3Uy+Zc14Wh0ZALWOhy0yMFiIWxq/mwl817rl/yS+VT6Lm1Wq1SrVriFUuVYhn6rjdHHizR6GXfu32BTUS4xgwp1fG9WAcJkppiRqaZrlEkRniMhqRjKUcRUUEyf2IKj63ShwMhbXEN5+r3iQRFSk2i0HZGSI/Ub28m/uV1jB6cBQnlsdGE48WigWFQCzhLBPapJFiziSUIS2pvhXiEJMLa5paxIXx9Cv8nraLr26yuivn6+TKONMiBI3ACfFAFdXAJGqAJMLgDD+AJPDv3zqPz4rwuWlPOcuYQ/IDz9gm4jZbm</latexit><latexit sha1_base64="CGsfoV3QzexZt2ZQ7C8hEAvZJ6U=">AAACBHicdVC7TgJBFJ3FF+ILtaSZCCZWm11AkI5oY4mJgAlsyOwwwITZmc08TMiGwsZfsbHQGFs/ws6/cXiYqNGT3OTknHtz7z1hzKjSnvfhpFZW19Y30puZre2d3b3s/kFLCSMxaWLBhLwJkSKMctLUVDNyE0uCopCRdji+mPntWyIVFfxaT2ISRGjI6YBipK3Uy+Zc14Wh0ZALWOhy0yMFiIWxq/mwl817rl/yS+VT6Lm1Wq1SrVriFUuVYhn6rjdHHizR6GXfu32BTUS4xgwp1fG9WAcJkppiRqaZrlEkRniMhqRjKUcRUUEyf2IKj63ShwMhbXEN5+r3iQRFSk2i0HZGSI/Ub28m/uV1jB6cBQnlsdGE48WigWFQCzhLBPapJFiziSUIS2pvhXiEJMLa5paxIXx9Cv8nraLr26yuivn6+TKONMiBI3ACfFAFdXAJGqAJMLgDD+AJPDv3zqPz4rwuWlPOcuYQ/IDz9gm4jZbm</latexit>

Introduce lepton non-universality to have matter effects

Page 12: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

Q2↵ =

⇥Z(gVp + 2✏u↵↵ + ✏d↵↵) +N(gVn + ✏u↵↵ + 2✏d↵↵)

⇤2+X

� 6=↵

⇥Z(2✏u↵� + ✏d↵�) +N(✏u↵� + 2✏d↵�)

⇤2

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✏fV↵� ⌘ ✏f↵�<latexit sha1_base64="AjkLpqm6oagBIAD7PWW+YRtSiG4=">AAACPHicjVC7SgNBFL3r2/iKWlo4KIJV3LXRUrSxVDRRyMZwd3LXDJl9ODMrhGU/zMaPsLMSwUIRW2tnEwtfhQcGDuecy9x7glQKbVz33hkZHRufmJyarszMzs0vVBeXGjrJFKc6T2SizgPUJEVMdSOMpPNUEUaBpLOgd1D6Z9ektEjiU9NPqRXhZSxCwdFYqV098SnVQlqa+yjTLvoBGSwucj9C0w0V9vKwaBQ+XWXimv0nXFTa1XW35g7AfhPvk6zvbT2uMgA4alfv/E7Cs4hiwyVq3fTc1LRyVEZwSUXFzzSlyHt4SU1LY4xIt/LB8QXbsEqHhYmyLzZsoH6dyDHSuh8FNlluqX96pfiX18xMuNvKRZxmhmI+/CjMJDMJK5tkHaGIG9m3BLkSdlfGu6iQG9t3WYL38+TfpLFd89yad2zb2IchpmAF1mATPNiBPTiEI6gDhxt4gGd4cW6dJ+fVeRtGR5zPmWX4Buf9A2tHs0Q=</latexit><latexit sha1_base64="tAXeLbGoZMcwXKXYNgvhG67ggOo=">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</latexit><latexit sha1_base64="tAXeLbGoZMcwXKXYNgvhG67ggOo=">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</latexit><latexit sha1_base64="F4zaQXbnKQFE88C31smqSrfjunc=">AAACPHicjVC7SgNBFJ31GeMramkzGASrsGujZdDGMqJ5QDaGu5O7yZDZhzOzgbDsh9n4EXZWNhaK2Fo7m6TQxMIDA4dzzmXuPV4suNK2/WwtLa+srq0XNoqbW9s7u6W9/YaKEsmwziIRyZYHCgUPsa65FtiKJULgCWx6w8vcb45QKh6Ft3ocYyeAfsh9zkAbqVu6cTFWXBiauiDiAbgeasjuUjcAPfAlDFM/a2Qu3id8RP8TzordUtmu2BPQReLMSJnMUOuWntxexJIAQ80EKNV27Fh3UpCaM4FZ0U0UxsCG0Me2oSEEqDrp5PiMHhulR/1ImhdqOlF/TqQQKDUOPJPMt1TzXi7+5bUT7Z93Uh7GicaQTT/yE0F1RPMmaY9LZFqMDQEmudmVsgFIYNr0nZfgzJ+8SBqnFceuONd2uXoxq6NADskROSEOOSNVckVqpE4YeSAv5I28W4/Wq/VhfU6jS9Zs5oD8gvX1DU+TsbU=</latexit>

ZgVp +NgVn = ±⇥Z(gVp + 2✏uee + ✏dee) +N(gVn + ✏uee + 2✏dee)

⇤<latexit sha1_base64="NUFcjv9f2DTmZynvNoB/XCZVZpQ=">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</latexit><latexit sha1_base64="NkuFU1pLULWI3VmumDyhNKIhwiU=">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</latexit><latexit sha1_base64="NkuFU1pLULWI3VmumDyhNKIhwiU=">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</latexit><latexit sha1_base64="pPK/54exTky21mEH07Ulnq2SmGQ=">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</latexit>

LNSI = �p2GF

X

↵,�,f

✏f↵� [⌫↵L�⇢⌫�L]

⇥̄f�⇢f

<latexit sha1_base64="grU1VEyBVJ0z7ZkLi+dm/bji3WE=">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</latexit><latexit sha1_base64="Pa3CHvU9xSqdcg3LWwFqhZorcyk=">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</latexit><latexit sha1_base64="Pa3CHvU9xSqdcg3LWwFqhZorcyk=">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</latexit><latexit sha1_base64="94+UUy7HSa1DD7QEAxuAEk0v9as=">AAAC8HicdVJdb9MwFHUCjFG+OnjkxaJC4gGqtBLb+oA0gQRDmtAQdJtUh8hxncaq7QT7BlFZ+RW88ACaeOXn8Ma/wUlbtA24UpTjc+45ubaTllJYiKJfQXjp8pWNq5vXOtdv3Lx1u7t158gWlWF8zApZmJOUWi6F5mMQIPlJaThVqeTH6fx5ox9/5MaKQr+DRcljRWdaZIJR8FSyFWwQRSFnVLqDOiHAP4F7/fZVjZ/ix5jYDwbcsH6ZvOhg7JeVShyhsszpI0xSDs2rsWeGzl1W15jw0gpZ6PfuHL92tZ4aN2FtEckzmGBS+BGbHTiiqz/N+MDnzahS1KeZvPArXXmxyWg1I2Y5xH+npdS4C2O1Mcky5qy0Dukk3V7UH422h7sjvARP1mBnGw/6UVs9tKrDpPuTTAtWKa6BSWrtZBCVEDtqQDDJ6w6pLC8pm9MZn3ioqeI2du2F1fiBZ6Y4K4x/NOCWPetwVFm7UKnvbIa1F7WG/Jc2qSDbjZ3QZQVcs+WHskpiKHBz+3gqDGcgFx5QZoSfFbOcGsrA/yPNIax3iv8Pjob9QdQfvIl6e89Wx7GJ7qH76CEaoB20h/bRIRojFqjgc/A1+Baa8Et4Gn5ftobBynMXnavwx2+OduxY</latexit>

1708.4255

Heavy vector mediator:

Page 13: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

✏↵↵ ⇡ 3(✏u↵↵ + ✏d↵↵)<latexit sha1_base64="llYL2hf9Gka+u7sx0QvN9H1TJfM=">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</latexit><latexit sha1_base64="AGUuTrgU+aIrTN+/eBkDY9gFZww=">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</latexit><latexit sha1_base64="AGUuTrgU+aIrTN+/eBkDY9gFZww=">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</latexit><latexit sha1_base64="Fpeq56A0wpTn9q0Mgj/Z7hG7jIo=">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</latexit>

Matter NSI

1708.4255

Page 14: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

Sterile neutrino NSI

Page 15: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

LSND

Baseline: 30 m Maximum energy: 53 MeV

⌫̄µ ! ⌫̄e

L/E ⇠ 1 km/GeV =) �m2 ⇠ 1 eV2

mass

Page 16: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

MiniBooNE

⌫µ ! ⌫e

Baseline: 500 m Average energy: 800 MeV

⌫̄µ ! ⌫̄e

LSND+MiniBooNE anomaly has 6.1 sigma significance

L/E ⇠ 1 km/GeV =) �m2 ⇠ 1 eV2

Oscillation amplitude from global analysis:

sin2 2✓14 sin2 ✓24 ⇠ 0.04 sin2 ✓24

Page 17: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

DANSS

1810.01000

Page 18: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

IceCube/DeepCore

crust

mantle

core

!

Focus on (anti)muon neutrino survival probabilities

Page 19: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

Resonant 3+1 atmospheric neutrino oscillations

Oscillation maximum in vacuum:

Resonance condition in earth matter:

�m2

eV2

L

103 km

TeV

E⇠ 1

Resonance occurs in antineutrino channel

�m241 cos 2✓24 ' ⌥ 1 eV2 E

5 TeV

Page 20: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

1810.01000

Page 21: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

MINOS/MINOS+

1810.01000

s214 = 0.02<latexit sha1_base64="cTvBttcPxTX9BIJAcm1b/kOPX0I=">AAAB+HicdZDLSgMxFIbP1Futl466dBNahK7KzFRpuxCKblxWsBdoa8mkmTY0cyHJCHXok7hxoYhbH8Wd4MJHMb0IKvpD4Oc753BOfjfiTCrLejNSK6tr6xvpzczW9s5u1tzbb8owFoQ2SMhD0XaxpJwFtKGY4rQdCYp9l9OWOz6f1Vs3VEgWBldqEtGej4cB8xjBSqO+mZX9xD6eXjunVtFyMpm+mbeKtlUunVhIk7m0qVYrjl1C9pLka7nC+wcA1Pvma3cQktingSIcS9mxrUj1EiwUI5xOM91Y0giTMR7SjrYB9qnsJfPDp+hIkwHyQqFfoNCcfp9IsC/lxHd1p4/VSP6uzeBftU6svEovYUEUKxqQxSIv5kiFaJYCGjBBieITbTARTN+KyAgLTJTOahbC10/R/6bp6KCK9qVO4wwWSsMh5KAANpShBhdQhwYQiOEOHuDRuDXujSfjedGaMpYzB/BDxssn61GTgw==</latexit><latexit sha1_base64="SuizMQilIFWotpWAhDTtR/PKOTw=">AAAB+HicdZDLSsNAFIYn9VbjpVGXboYWoauStErbhVB047KCvUAbw2Q6aYdOLsxMhBr6JN24UMStb+HWnejDOGkrqOgPAz/fOYdz5ncjRoU0zTcts7K6tr6R3dS3tnd2c8befluEMcekhUMW8q6LBGE0IC1JJSPdiBPku4x03PF5Wu/cEC5oGFzJSURsHw0D6lGMpEKOkRNOYh1Pr8unZsks67pjFMySZVYrJyZUZC5l6vVa2apAa0kKjXzx4736Mms6xmt/EOLYJ4HEDAnRs8xI2gnikmJGpno/FiRCeIyGpKdsgHwi7GR++BQeKTKAXsjVCySc0+8TCfKFmPiu6vSRHInftRT+VevF0qvZCQ2iWJIALxZ5MYMyhGkKcEA5wZJNlEGYU3UrxCPEEZYqqzSEr5/C/027rIIqWZcqjTOwUBYcgjwoAgtUQQNcgCZoAQxiMAP34EG71e60R+1p0ZrRljMH4Ie0508JdJUZ</latexit><latexit sha1_base64="SuizMQilIFWotpWAhDTtR/PKOTw=">AAAB+HicdZDLSsNAFIYn9VbjpVGXboYWoauStErbhVB047KCvUAbw2Q6aYdOLsxMhBr6JN24UMStb+HWnejDOGkrqOgPAz/fOYdz5ncjRoU0zTcts7K6tr6R3dS3tnd2c8befluEMcekhUMW8q6LBGE0IC1JJSPdiBPku4x03PF5Wu/cEC5oGFzJSURsHw0D6lGMpEKOkRNOYh1Pr8unZsks67pjFMySZVYrJyZUZC5l6vVa2apAa0kKjXzx4736Mms6xmt/EOLYJ4HEDAnRs8xI2gnikmJGpno/FiRCeIyGpKdsgHwi7GR++BQeKTKAXsjVCySc0+8TCfKFmPiu6vSRHInftRT+VevF0qvZCQ2iWJIALxZ5MYMyhGkKcEA5wZJNlEGYU3UrxCPEEZYqqzSEr5/C/027rIIqWZcqjTOwUBYcgjwoAgtUQQNcgCZoAQxiMAP34EG71e60R+1p0ZrRljMH4Ie0508JdJUZ</latexit><latexit sha1_base64="bC2XDJ8GMXZj7tMX7WXggdHeI2E=">AAAB+HicdZDLSgMxFIYz9VbHS0ddugkWwVXJtErbhVB047KCvUA7Dpk004ZmLiQZoQ59EjcuFHHro7jzbcy0I6joD4Gf75zDOfm9mDOpEPowCiura+sbxU1za3tnt2Tt7XdllAhCOyTikeh7WFLOQtpRTHHajwXFgcdpz5teZvXeHRWSReGNmsXUCfA4ZD4jWGnkWiXppvbp/LZ6jiqoapquVUYVG9VrZwhqspA2zWajategnZMyyNV2rffhKCJJQENFOJZyYKNYOSkWihFO5+YwkTTGZIrHdKBtiAMqnXRx+BweazKCfiT0CxVc0O8TKQ6knAWe7gywmsjftQz+VRskym84KQvjRNGQLBf5CYcqglkKcMQEJYrPtMFEMH0rJBMsMFE6qyyEr5/C/023qoOq2Neo3LrI4yiCQ3AEToAN6qAFrkAbdAABCXgAT+DZuDcejRfjddlaMPKZA/BDxtsn2oKRPQ==</latexit>

s214 = 0.01<latexit sha1_base64="QTE5NUokdrkOzgoBcdIHkPrBde4=">AAAB+HicdZDLSgMxFIbP1Pt4q7p0E1qErkpSxctCEN24rGAv0I4lk6ZtaOZCkhHq0Cdx40IRtz6KO8GFj2KmVVDRHwI/3zmHc/L7sRTaYPzq5GZm5+YXFpfc5ZXVtfX8xmZdR4livMYiGammTzWXIuQ1I4zkzVhxGviSN/zhWVZvXHOlRRRemlHMvYD2Q9ETjBqLOvl13UnJ3viqcozLmLhuJ1/E5aPDfVwhyJKJMrN3hMkuIp+keFIovb0DQLWTf2l3I5YEPDRMUq1bBMfGS6kygkk+dtuJ5jFlQ9rnLWtDGnDtpZPDx2jHki7qRcq+0KAJ/T6R0kDrUeDbzoCagf5dy+BftVZieodeKsI4MTxk00W9RCIToSwF1BWKMyNH1lCmhL0VsQFVlBmbVRbC10/R/6ZeKRNcJhc2jVOYahG2oQAlIHAAJ3AOVagBgwRu4R4enBvnznl0nqatOedzZgt+yHn+AON2k30=</latexit><latexit sha1_base64="oZlblc+fIun2oJlX0ZYbeSI1/sE=">AAAB+HicdZBNS0JBFIbn2pfZh7dathmUwJXMmKQuAqlNS4P8ADWZO446OPeDmbmBXfwlbloU0bZ/0bZd1I9prhpU1AsDL885h3PmdQLBlUbozUqsrK6tbyQ3U1vbO7tpe2+/ofxQUlanvvBlyyGKCe6xuuZasFYgGXEdwZrO+DyuN2+YVNz3rvQkYF2XDD0+4JRog3p2WvUiXJxeF05RHuFUqmdnUb5SPkEFDA2ZKzbFCsLHEC9JtprJfbyXXma1nv3a6fs0dJmnqSBKtTEKdDciUnMq2DTVCRULCB2TIWsb6xGXqW40P3wKjwzpw4EvzfM0nNPvExFxlZq4jul0iR6p37UY/lVrh3pQ7kbcC0LNPLpYNAgF1D6MU4B9LhnVYmIMoZKbWyEdEUmoNlnFIXz9FP5vGoU8Rnl8adI4AwslwSHIgBzAoASq4ALUQB1QEIIZuAcP1q11Zz1aT4vWhLWcOQA/ZD1/AgGZlRM=</latexit><latexit sha1_base64="oZlblc+fIun2oJlX0ZYbeSI1/sE=">AAAB+HicdZBNS0JBFIbn2pfZh7dathmUwJXMmKQuAqlNS4P8ADWZO446OPeDmbmBXfwlbloU0bZ/0bZd1I9prhpU1AsDL885h3PmdQLBlUbozUqsrK6tbyQ3U1vbO7tpe2+/ofxQUlanvvBlyyGKCe6xuuZasFYgGXEdwZrO+DyuN2+YVNz3rvQkYF2XDD0+4JRog3p2WvUiXJxeF05RHuFUqmdnUb5SPkEFDA2ZKzbFCsLHEC9JtprJfbyXXma1nv3a6fs0dJmnqSBKtTEKdDciUnMq2DTVCRULCB2TIWsb6xGXqW40P3wKjwzpw4EvzfM0nNPvExFxlZq4jul0iR6p37UY/lVrh3pQ7kbcC0LNPLpYNAgF1D6MU4B9LhnVYmIMoZKbWyEdEUmoNlnFIXz9FP5vGoU8Rnl8adI4AwslwSHIgBzAoASq4ALUQB1QEIIZuAcP1q11Zz1aT4vWhLWcOQA/ZD1/AgGZlRM=</latexit><latexit sha1_base64="VDJNpWgVu58Xjpv+DgL/cd572C4=">AAAB+HicdZDLSgMxFIYzXmu9dNSlm2ARXJWkFm0XQtGNywr2Au04ZNK0Dc1khiQj1KFP4saFIm59FHe+jZm2gor+EPj5zjmckz+IBdcGoQ9naXlldW09t5Hf3NreKbi7ey0dJYqyJo1EpDoB0UxwyZqGG8E6sWIkDARrB+PLrN6+Y0rzSN6YScy8kAwlH3BKjEW+W9B+iivT2/I5KiGcz/tuEZVq1VNUxtCSmTJTqSF8AvGCFMFCDd997/UjmoRMGiqI1l2MYuOlRBlOBZvme4lmMaFjMmRdayUJmfbS2eFTeGRJHw4iZZ80cEa/T6Qk1HoSBrYzJGakf9cy+Fetm5hB1Uu5jBPDJJ0vGiQCmghmKcA+V4waMbGGUMXtrZCOiCLU2KyyEL5+Cv83rXIJoxK+RsX6xSKOHDgAh+AYYHAG6uAKNEATUJCAB/AEnp1759F5cV7nrUvOYmYf/JDz9gnSp5E3</latexit>

Page 22: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

Model independent bounds from neutrino oscillation data allow large diagonal NSI parameters with O(1) differences between them

COHERENT bounds obtained using contact approx don’t apply for mediators lighter than 50 MeV

NSI to the rescue?

Page 23: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

3+1 oscillations with CC and NC NSI

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Vm = 2p2GFNeE

0

BB@

1 + ✏mee ✏meµ ✏me⌧ ✏mes✏m⇤eµ ✏mµµ ✏mµ⌧ ✏mµs✏m⇤e⌧ ✏m⇤

µ⌧ ✏m⌧⌧ ✏m⌧s✏m⇤es ✏m⇤

µs ✏m⇤⌧s + ✏mss

1

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3

775

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=Nn

2Ne' 0.5

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Page 24: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

Vector-like CC interaction contributes NSI at detector, but not at pion source

Only nonzero CC NSI parameter is

Nonzero NC NSI parameters:

Try hard to use Occam’s razor!

✏mµµ , ✏m⌧⌧ , ✏mss<latexit sha1_base64="xCsEOctKXRBuYWrO42WFXtqJe0o=">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</latexit><latexit sha1_base64="twhc2lasfqmXTK9nPsiKYTkIRAw=">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</latexit><latexit sha1_base64="twhc2lasfqmXTK9nPsiKYTkIRAw=">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</latexit><latexit sha1_base64="uo5qC0/r5CvcGbtiE97NKO3q004=">AAACLXicdZDLSgMxFIYzXut4G3XpJlgEF6VkBFu7K+rCZQV7gc5YMmnahiYzQ5IRytAXcuOriOCiIm59DTNt0Sp6SODn+88hOX8Qc6Y0QhNraXlldW09t2Fvbm3v7Dp7+w0VJZLQOol4JFsBVpSzkNY105y2YkmxCDhtBsPLzG/eU6lYFN7qUUx9gfsh6zGCtUEd58qjsWLcyNQTiTnjO+EVCh5c4Bon2Z05cNFSykDb7jh5VKxUSm4ZQbeIpgUNKbno7JvkwbxqHefZ60YkETTUhGOl2i6KtZ9iqRnhdGx7iaIxJkPcp20jQyyo8tPptmN4bEgX9iJpbqjhlC5OpFgoNRKB6RRYD9RvL4N/ee1E9879lIVxomlIZg/1Eg51BLPoYJdJSjQfGYGJZOavkAywxESbgLMQvnb/XzROiy4qujcoX72Yx5EDh+AInAAXlEEVXIMaqAMCHsATmIBX69F6sd6s91nrkjWfOQA/yvr4BBRnqS8=</latexit>

✏Dµµ = 2✏udLµµ<latexit sha1_base64="Rgal5rxbwOpwTEuFOxE7MZZ57Ro=">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</latexit><latexit sha1_base64="Se2pZBchgY5PDe31NU1BYRHsF6M=">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</latexit><latexit sha1_base64="Se2pZBchgY5PDe31NU1BYRHsF6M=">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</latexit><latexit sha1_base64="TYVVVcoI2S3CokE8nG/NC6XgoDg=">AAACGHicdZDJTsMwEIadspWyBThysaiQOIWk7AekCjhw4FAkukhNqBzHaa06i2wHqYryGFx4FS4cQIhrb7wNTltVrGOP9OubGdnzuzGjQprmh1aYmZ2bXygulpaWV1bX9PWNhogSjkkdRyziLRcJwmhI6pJKRloxJyhwGWm6/Yu83rwnXNAovJWDmDgB6obUpxhJhTr6nk1iQZmSqR0k6mZ3l/AMVn7jNPGus1JHL5vG6eF+pXIALcMcBVTEPFJnSspgErWOPrS9CCcBCSVmSIi2ZcbSSRGXFDOSlexEkBjhPuqStpIhCohw0tFiGdxRxIN+xFWGEo7o14kUBUIMAld1Bkj2xM9aDv+qtRPpnzgpDeNEkhCPH/ITBmUEc5egRznBkg2UQJhT9VeIe4gjLJWXuQnT3f8XjYphmYZ1Y5ar5xM7imALbINdYIFjUAVXoAbqAIMH8ARewKv2qD1rb9r7uLWgTWY2wbfQhp/EU6DU</latexit>

Page 25: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

3+1+NSI survival prob at FD same as 3-neutrino case if

✏Dµµ ' s224✏mµµ � ✏m⌧⌧ ' s224(✏

mµµ � ✏mss � )

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1810.01000

�m241 = 1.4 eV2 , s224 = ✏Dµµ = 0.03 ,

s214 = 0.02 , ✏mµµ = �0.7 , ✏m⌧⌧ = �0.5 , ✏mss = 6<latexit sha1_base64="mXreOk/r+6XpF6Mt0iau5MV5CLE=">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</latexit><latexit sha1_base64="3nxFiixegRpbkHcv7QwIHC31Nd4=">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</latexit><latexit sha1_base64="3nxFiixegRpbkHcv7QwIHC31Nd4=">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</latexit><latexit sha1_base64="fAK0PTii3nqRIqGHgM7cA5xEAuM=">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</latexit>

Page 26: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

(a) |✏m⌧⌧ | < 6 , |✏mµµ � ✏m⌧⌧ | < 0.5<latexit sha1_base64="g2gFwVdW2ReHUxmJRX2mBz7kugQ=">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</latexit><latexit sha1_base64="Q+c76FV2smTs7UJjfSuus/+m9dM=">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</latexit><latexit sha1_base64="Q+c76FV2smTs7UJjfSuus/+m9dM=">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</latexit><latexit sha1_base64="htO396txxm/2tFOZH+W0nDgA03E=">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</latexit>

(b) |✏mss| < 6 , |✏m⌧⌧ | < 0.5 , |✏mµµ � ✏m⌧⌧ | < 0.5<latexit sha1_base64="hfG+Fkbzx3h2BM7hv66x5YZ4hNA=">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</latexit><latexit sha1_base64="VzKkqhM9LsEHNTt1BLFbYJy+3jg=">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</latexit><latexit sha1_base64="VzKkqhM9LsEHNTt1BLFbYJy+3jg=">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</latexit><latexit sha1_base64="daP5Zegfds6zXMl7FauYwXj6CCE=">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</latexit>

1810.01000

✏Dµµ = 0.03<latexit sha1_base64="+vOZMjAvd5p2c4bvAImz90dMauY=">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</latexit><latexit sha1_base64="IB9Zil5kZjuqfwxtcLc3xgxX7zU=">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</latexit><latexit sha1_base64="IB9Zil5kZjuqfwxtcLc3xgxX7zU=">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</latexit><latexit sha1_base64="oc8HK1aboIChfH4N+ykSd5iJ9mc=">AAACBHicdZDLSgMxFIYz9VbHW9VlN8EiuCoZL70shKIuXFawF+iMJZOmbWgyMyQZoQxduPFV3LhQxK0P4c63MdNWUNFDAj/ffw7J+f2IM6UR+rAyC4tLyyvZVXttfWNzK7e901RhLAltkJCHsu1jRTkLaEMzzWk7khQLn9OWPzpP/dYtlYqFwbUeR9QTeBCwPiNYG9TN5V0aKcaNTFwRmzO5uThFRXRk23Y3V0DFaqWEKg40aFqpKJWrxyfQmZMCmFe9m3t3eyGJBQ004VipjoMi7SVYakY4ndhurGiEyQgPaMfIAAuqvGS6xATuG9KD/VCaG2g4pd8nEiyUGgvfdAqsh+q3l8K/vE6s+xUvYUEUaxqQ2UP9mEMdwjQR2GOSEs3HRmAimfkrJEMsMdEmtzSEr03h/6J5WHRQ0blChdrZPI4syIM9cAAcUAY1cAnqoAEIuAMP4Ak8W/fWo/Vivc5aM9Z8Zhf8KOvtE87Mlts=</latexit>

Page 27: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

Super-Kamiokande

1810.01000

Page 28: Danny Marfatia - University of ChicagoDanny Marfatia. Possible tension in standard oscillation picture Discrepancy in mass-squared difference driven by Super-K’s day-night asymmetry

Summary

COHERENT bounds on matter NSI parameters obtained using contact approx don’t apply for mediators lighter than 50 MeV

For heavy mediators, COHERENT places meaningful constraints on effective NSI parameters for propagation in Earth

LSND/MiniBooNE is consistent with IceCube/DeepCore and MINOS/MINOS+ in a (3+1)+NSI model with CC and NC NSI