danny marfatia - university of chicagodanny marfatia. possible tension in standard oscillation...

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NSI @ CEvNS etc

Danny Marfatia

Possible tension in standard oscillation picture

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

1710.09360 1704.04711

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=">AAACK3icdVBNSxxBEO1Rk5jN18YcI6GJBHIYlpnIfnhYEL3k4EElq8LOstT01rjN9nzQXS0swx79L168+ytySA5JxKsn/0R6diMkIammi9fvVdFVLy6UNBQEP7yl5ZUHDx+tPq49efrs+Yv6y7Ujk1stsCdyleuTGAwqmWGPJCk8KTRCGis8jie7lX58htrIPPtE0wIHKZxmMpECyFHD+k4EqhiDz6MYCbroQGpdIrB+xKvDd7t7/uH9I0qBxomGSZnMutYf+Vgb1jeCxla72Wpv8gpsNrdaFeg0W50mDxvBPDa2168O7s7fXO0P61+iUS5sihkJBcb0w6CgQQmapFA4q0XWYAFiAqfYdzCDFM2gnO864+8cM+JJrt3NiM/Z3ztKSI2ZprGrrEY1f2sV+S+tbynpDEqZFZYwE4uPEqs45bwyjo+kRkFq6gAILd2sXIxBgyBnb2XC/ab8/+DoQyMMGuGBc2OHLWKVvWZv2XsWsjbbZh/ZPusxwS7YZ/aNffcuva/etXezKF3yfvW8Yn+Ed/sTUTanzg==</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=">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</latexit><latexit sha1_base64="CkJ94UWt4QTG8WXAcURUyVA6/ZY=">AAADSXicdVJbi9NAFJ6kXtZ42a4+7svgoqxIS9Kll0WERfHyILKC7S40NUymJ+2wk0mcmQglBP+LP8Ef4YtvvvkffPFBEZ+ctF3YtPZA4Dvf+c53JocTppwp7brfLbt26fKVq1vXnOs3bt7aru/cHqgkkxT6NOGJPA2JAs4E9DXTHE5TCSQOOZyEZ0/L+skHkIol4q2epTCKyUSwiFGiDRXsWMEAP8YtX72XuoVfBM/x6wDwM+xziPS+H8KEiZxISWZFTiktHA8/xD6kinHTngMU+P7F3I+zAt7lzE+nbJmuKjSpSsq8cHzfWbdpbPYxTEmucVX3c2bNfylrVF+xwayx6ladaqg5bQaI8XJZvmSTqX7gOEF9z20edtud7gEuwUH7sFOCXrvTa2Ov6c5j7+jVo8+fPu6y46D+zR8nNItBaMqJUkPPTfXI2GpGOZghmYKU0DMygaGBgsSgRvn8Egp8zzBjHCXSfELjOXuxIyexUrM4NMqY6KlarZXk/2rDTEe9Uc5EmmkQdDEoyjjWCS7PCo+ZBKr5zABCJTNvxXRKJKHaHF+5hPM/xZvBoNX03Kb3xmzjCVrEFtpFd9E+8lAXHaGX6Bj1EbW+WD+sX9Zv+6v90/5j/11IbWvZcwdVolb7B7UqGO8=</latexit><latexit sha1_base64="CkJ94UWt4QTG8WXAcURUyVA6/ZY=">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</latexit><latexit sha1_base64="LhSJf0+m74D3iXKzT1JO9veO2Rs=">AAADSXicdVJNb9NAEF07fBTz0RSOXFZEoCKUyE6Vjx6QKhCFEyoSSSvFwVpvxsmq67XZXSNFlv8eF27c+A9cOFAhTqxTV6oTMpKlN2/evFmPJkw5U9p1f1h248bNW7d37jh3791/sNvcezhWSSYpjGjCE3kWEgWcCRhppjmcpRJIHHI4Dc9fl/XTLyAVS8RHvUxhGpO5YBGjRBsq2LOCMX6Ju776LHUXvw2O8fsA8Bvsc4j0vh/CnImcSEmWRU4pLRwPv8A+pIpx054DFPjZ9dyPswI+5cxPF6xK1xWa1CVlXji+72zatLf7GKYkN7i6+xWz4V/J2vVXbDFrr7vVpxpqRZsBYlYty5dsvtDPHSdottzO4aDXHxzgEhz0DvslGPb6wx72Ou4qWqiKk6D53Z8lNItBaMqJUhPPTfXU2GpGOZghmYKU0HMyh4mBgsSgpvnqEgr81DAzHCXSfELjFXu9IyexUss4NMqY6IVar5Xk/2qTTEfDac5EmmkQ9HJQlHGsE1yeFZ4xCVTzpQGESmbeiumCSEK1Ob5yCVd/ireDcbfjuR3vg9s6elWtYwc9Rk/QPvLQAB2hd+gEjRC1vlo/rd/Whf3N/mX/sf9eSm2r6nmEatFo/AODghXR</latexit>

On earth Nu = Nd = 3Ne<latexit sha1_base64="DszB0ToqJojLwn9YRH0VVFZhFWc=">AAACB3icdVDPSxtBFH5r1Wr80bSFXgQZKgVPYdeQHx4EsZee0gSMCklYZycvZnB2dpl5WxqW3HrxX+mlhxbptf9Cb178W5xNFLTYDx58fN97M+99UaqkJd+/8RZeLC4tv1xZLa2tb2y+Kr9+c2KTzAjsikQl5iziFpXU2CVJCs9SgzyOFJ5Glx8L//QLGisTfUyTFAcxv9ByJAUnJ4Xl7T7hV8o/a4bc0HjaZ6wVZgetcHhQbYUYlnf8yn6jVm9UWUGqtf16QZq1erPGgoo/w87hu87tOQC0w/Lf/jARWYyahOLW9gI/pUHu3pZC4bTUzyymXFzyC+w5qnmMdpDP7piyD04ZslFiXGliM/XxRM5jaydx5DpjTmP7r1eIz3m9jEbNQS51mhFqMf9olClGCStCYUNpUJCaOMKFkW5XJsbccEEuupIL4eFS9n9yslcJ/ErQcWkcwRwrsAXvYRcCaMAhfII2dEHAN/gOP+GXd+X98K693/PWBe9+5i08gffnDsPgmsU=</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>

1805.04530

Matter effects if NSI violate lepton universality or/and flavor

Iso-day-night asymmetry contours

1704.04711

1704.04711

Hyper-K and JUNO can detect NSI

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

Standard Model spectrum

Q2↵,SM =

�ZgVp +NgVn

�2<latexit sha1_base64="wz7jsiNetNpM4lC+tYkOIRW5nXc=">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</latexit><latexit sha1_base64="xMbvpsKguEOOiEmgw2ZDPBMyWfQ=">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</latexit><latexit sha1_base64="xMbvpsKguEOOiEmgw2ZDPBMyWfQ=">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</latexit><latexit sha1_base64="xweqaSqlyyU7dJotC5uTIUs9MCc=">AAACIHicdZDPSxtBFMdntT/s1rZRj70MDQWlJcwGaupBCPbSS0ukTRSzyTI7ebsZnJ1dZt6KYcmf0kv/lV56aCn1pn+Nkxisiv3CwOPzfY837xsXSlpk7NxbWn7w8NHjlSf+09Vnz1/U1tZ7Ni+NgK7IVW4OY25BSQ1dlKjgsDDAs1jBQXz8YeYfnICxMtdfcVLAIOOplokUHB2Kaq39qAq5Ksb8bYhwitWXT1M6HTZ3QwUJbh6lUTHsvfmcRnrYC41Mx7g1bPq+H9XqrLGzsx20GA0abC7qyHbA3v0jdbJQJ6qdhaNclBloFIpb2w9YgYOKG5RCwdQPSwsFF8c8hb4rNc/ADqr5gVP62pERTXLjnkY6pzcnKp5ZO8li15lxHNu73gze5/VLTN4PKqmLEkGLq0VJqSjmdJYWHUkDAtXEFVwY6f5KxZgbLtBlOgvh+vb/F71mI2CNYJ/V23uLOFbIS/KKbJKAtEibfCQd0iWCfCM/yC/y2/vu/fT+eH+vWpe8xcwGuSXv4hLCSqIE</latexit>

gVn = �1

2' �10gVp

<latexit sha1_base64="u28UJCu09/Qqrj78bJngggznX8w=">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</latexit><latexit sha1_base64="/c88DS95X6bzXzB4hkqkl1Z68nw=">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</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>

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

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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... 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

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=">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</latexit>

1708.4255

Heavy vector mediator:

✏↵↵ ⇡ 3(✏u↵↵ + ✏d↵↵)<latexit sha1_base64="llYL2hf9Gka+u7sx0QvN9H1TJfM=">AAACRHicdVDLSgMxFL3j2/qqunQTFEERykyr1u5ENy4VrAqdWu6kqQ3NzIQkI5Zh/sVfceMHuPML3LhQxK2Ytgoq9kDC4ZxzuckJpODauO6jMzI6Nj4xOTWdm5mdm1/ILy6d6ThRlFVpLGJ1EaBmgkesargR7EIqhmEg2HnQOez559dMaR5Hp6YrWT3Eq4i3OEVjpUa+5jOpubA09VHINg7uzEcpVXxDShtDApdpkm0N9ZrZZi7XyK+5Ba/klbZ3iFuoVCq75bIlbrG0W9wmXsHtY21/1d+6BYDjRv7Bb8Y0CVlkqECta54rTT1FZTgVLMv5iWYSaQevWM3SCEOm62m/hIysW6VJWrGyJzKkr/6cSDHUuhsGNhmiaeu/Xk/8z6slprVXT3kkE8MiOljUSgQxMek1SppcMWpE1xKkitu3EtpGhdTY3nslfP+UDCdnxYJnuzqxbRzAAFOwAquwAR6UYR+O4BiqQOEOnuAFXp1759l5c94H0RHna2YZfsH5+ATRsbXA</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

Sterile neutrino NSI

LSND

Baseline: 30 m Maximum energy: 53 MeV

⌫̄µ ! ⌫̄e

L/E ⇠ 1 km/GeV =) �m2 ⇠ 1 eV2

mass

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

DANSS

1810.01000

IceCube/DeepCore

crust

mantle

core

!

Focus on (anti)muon neutrino survival probabilities

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

1810.01000

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>

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?

3+1 oscillations with CC and NC NSI

P̃ (⌫S↵! ⌫D

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⇤�↵

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<latexit sha1_base64="pyIultmWStxFf4onq0KkoCsFTf4=">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</latexit><latexit sha1_base64="ciDBgKHc1/H410VJ5Cb/jKpShos=">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</latexit><latexit sha1_base64="ciDBgKHc1/H410VJ5Cb/jKpShos=">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</latexit><latexit sha1_base64="AhhfVqQmtn4Wfx7GtpjRQZozQKk=">AAACanicdZFNbxMxEIa9y1cbKIQigVAvFgEpCBHtRqJtDkgVcOiBQ1CbtlL2Q15nNrHq9a7sWVC03UP/Ym/9BVz4ETi7qVQQjGTr1TOeGft1Ukhh0POuHffO3Xv3H2xsdh4+2nr8pPt0+8TkpeYw4bnM9VnCDEihYIICJZwVGliWSDhNzj+v8qffQRuRq2NcFhBmbK5EKjhDi+LuZYBCzqAa1/1AlXHAZLFg0VGgxXyBTOv8R4MTQBZ9efsxkJDiRbNP+/67AAojZK5sKjqGqHovDr/Wt/mR5W2vMK6aLu2EuoUX0bATd3veYDTaHe6PaCs+3Ii9XeoPvCZ6ZB3juHsVzHJeZqCQS2bM1PcKDCumUXAJdScoDRSMn7M5TK1ULAMTVo1VNX1jyYymubZLIW3o7YqKZcYss8SezBguzN+5FfxXblpiuh9WQhUlguLtoLSUFHO68p3OhAaOcmkF41rYu1K+YJpxtL+zMuHmpfT/4mQ48L2B/83rHXxa27FBdsgr0ic+2SMH5JCMyYRw8tPZcp47L5xf7rb70t1pj7rOuuYZ+SPc178B3ca7ow==</latexit>

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

CCA

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H =1

2E

2

664V

0

BB@

0 0 0 00 �m

221 0 0

0 0 �m231 0

0 0 0 �m241

1

CCAV† + Vm

3

775

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=Nn

2Ne' 0.5

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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>

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=">AAACqHicdVFba9swFJa9W+vd0u1xL2KhMEZnJDe9PRjKuofBXjJoko4oMbKitKKSbSR5EIx/2/7D3vZvJrnetdtBB46+i3R0lFdSGIvQtyC8c/fe/Qdb29HDR4+fPB3sPJuastaMT1gpS32RU8OlKPjECiv5RaU5Vbnks/z6zPOzz1wbURbndlPxhaKXhVgLRq2DssEXsuLSUqiWSdaMcJvieERgQ7SCfNouE7K3RyCBJmuSkdvCFBJeGSGdtyGqdqtdvkshitG+k0KvJZ0ce3nqcH9E1OG3jCp9g+Kjn75fvKW1z15xcFthjOcOoygbDFF8cnyIEuyb6MIXoxOE9yHukSHoY5wNvpJVyWrFC8skNWaOUWUXDdVWMMnbiNSGV5Rd00s+d2VBFTeLpht0C3cdsoLrUrssLOzQ3x0NVcZsVO6Uitor8zfnwX9x89qujxeNKKra8oLdXLSuJbQl9L8GV0JzZuXGFZRp4XqF7Ipqyqz7Wz+EHy+F/y+mSYxRjD+i4enbfhxb4AV4CV4BDI7AKXgPxmACWLAbfAjOg0n4OhyHs/DTjTQMes9z8EeE+XcTtciT</latexit>

(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=">AAACX3icdZHLSsQwFIbTehvrrepK3AQHQVFLKjij4EJ041LBUWE6DmnmjAaTtiSpMNR5Al/DJ3InuPEh3JvOiDf0kMDh+/9Dkj9xJrg2hDw77sjo2PhEZdKbmp6ZnfPnF851misGDZaKVF3GVIPgCTQMNwIuMwVUxgIu4tujUr+4A6V5mpyZXgYtSa8T3uWMGova/t1avB7hCN9HkGkuLCq07l/J+/1atLn5S4kMzcs90Emw8+Hwfnhkbpd1bP0/53ltv0qCvb1aWCc4DMigsCW1kOx8kerBxtvjA1Szk7b/FHVSlktIDBNU62ZIMtMqqDKcCeh7Ua4ho+yWXkPTtgmVoFvFIJ8+XrWkg7upsjsxeEC/TxRUat2TsXVKam70b62Ef2nN3HR3WwVPstxAwoYHdXOBTYrLsHGHK2BG9GxDmeL2rpjdUEWZsV9ShvD59v+b8+0gJEF4atM4RMOqoGW0gtZQiOroAB2jE9RADL04rjPlTDuv7oQ76/pDq+t8zCyiH+UuvQOapbhH</latexit><latexit sha1_base64="VzKkqhM9LsEHNTt1BLFbYJy+3jg=">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</latexit><latexit sha1_base64="daP5Zegfds6zXMl7FauYwXj6CCE=">AAACX3icdZHNS8MwGMbT+rFZdVY9iZfgECbMkgrbFDyIXjwqOB2sc6RZtoUlbUnSwej2T3oTvPifmM7hF+4lgZff87wkeRImnCmN0Ktlr6yurReKG87m1nZpx93de1RxKgltkpjHshViRTmLaFMzzWkrkRSLkNOncHST609jKhWLowc9SWhH4EHE+oxgbVDXHVfCkwAGcBrQRDFuUKbU7FlML+tBtfpHCTRO8z3XkVdbOJxfHpGaZRyny+ccp+uWkXdxUfcbCPoemhc0pO6j2jcpg0Xddd2XoBeTVNBIE46Vavso0Z0MS80IpzMnSBVNMBnhAW2bNsKCqk42z2cGjw3pwX4szY40nNOfExkWSk1EaJwC66H6q+XwP62d6v55J2NRkmoakc+D+imHOoZ52LDHJCWaT0yDiWTmrpAMscREmy/JQ/h6+/Lm8czzkeffo/LV9SKOIjgER6ACfNAAV+AW3IEmIODNsq1Na8t6twt2yXY/rba1mNkHv8o++ADa3rTA</latexit>

1810.01000

✏Dµµ = 0.03<latexit sha1_base64="+vOZMjAvd5p2c4bvAImz90dMauY=">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</latexit><latexit sha1_base64="IB9Zil5kZjuqfwxtcLc3xgxX7zU=">AAACBHicdZDLSgMxFIYz9VbHW9VlN8EiCEKZ8dLLQijqwmUFe4G2lkx62oZmLiQZoQxduHHjawhuXCji1odw54O4N9NWUNFDAj/ffw7J+Z2AM6ks691IzMzOzS8kF82l5ZXVtdT6RlX6oaBQoT73Rd0hEjjzoKKY4lAPBBDX4VBzBiexX7sCIZnvXahhAC2X9DzWZZQojdqpdBMCybiWUdMN9Rldnh5ZWWvfNM12KmNli4WcVbCxRuOKRS5fPDjE9pRkSrsfd7eQCcrt1Fuz49PQBU9RTqRs2FagWhERilEOI7MZSggIHZAeNLT0iAuyFY2XGOFtTTq46wt9PYXH9PtERFwph66jO12i+vK3F8O/vEaouoVWxLwgVODRyUPdkGPl4zgR3GECqOJDLQgVTP8V0z4RhCqdWxzC16b4f1Hdy9pW1j7XaRyjSSVRGm2hHWSjPCqhM1RGFUTRNbpHj+jJuDEejGfjZdKaMKYzm+hHGa+fjpOaYg==</latexit><latexit sha1_base64="IB9Zil5kZjuqfwxtcLc3xgxX7zU=">AAACBHicdZDLSgMxFIYz9VbHW9VlN8EiCEKZ8dLLQijqwmUFe4G2lkx62oZmLiQZoQxduHHjawhuXCji1odw54O4N9NWUNFDAj/ffw7J+Z2AM6ks691IzMzOzS8kF82l5ZXVtdT6RlX6oaBQoT73Rd0hEjjzoKKY4lAPBBDX4VBzBiexX7sCIZnvXahhAC2X9DzWZZQojdqpdBMCybiWUdMN9Rldnh5ZWWvfNM12KmNli4WcVbCxRuOKRS5fPDjE9pRkSrsfd7eQCcrt1Fuz49PQBU9RTqRs2FagWhERilEOI7MZSggIHZAeNLT0iAuyFY2XGOFtTTq46wt9PYXH9PtERFwph66jO12i+vK3F8O/vEaouoVWxLwgVODRyUPdkGPl4zgR3GECqOJDLQgVTP8V0z4RhCqdWxzC16b4f1Hdy9pW1j7XaRyjSSVRGm2hHWSjPCqhM1RGFUTRNbpHj+jJuDEejGfjZdKaMKYzm+hHGa+fjpOaYg==</latexit><latexit sha1_base64="oc8HK1aboIChfH4N+ykSd5iJ9mc=">AAACBHicdZDLSgMxFIYz9VbHW9VlN8EiuCoZL70shKIuXFawF+iMJZOmbWgyMyQZoQxduPFV3LhQxK0P4c63MdNWUNFDAj/ffw7J+f2IM6UR+rAyC4tLyyvZVXttfWNzK7e901RhLAltkJCHsu1jRTkLaEMzzWk7khQLn9OWPzpP/dYtlYqFwbUeR9QTeBCwPiNYG9TN5V0aKcaNTFwRmzO5uThFRXRk23Y3V0DFaqWEKg40aFqpKJWrxyfQmZMCmFe9m3t3eyGJBQ004VipjoMi7SVYakY4ndhurGiEyQgPaMfIAAuqvGS6xATuG9KD/VCaG2g4pd8nEiyUGgvfdAqsh+q3l8K/vE6s+xUvYUEUaxqQ2UP9mEMdwjQR2GOSEs3HRmAimfkrJEMsMdEmtzSEr03h/6J5WHRQ0blChdrZPI4syIM9cAAcUAY1cAnqoAEIuAMP4Ak8W/fWo/Vivc5aM9Z8Zhf8KOvtE87Mlts=</latexit>

Super-Kamiokande

1810.01000

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

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