cp violation at the lhc, boston
TRANSCRIPT
Probing SUSY CP ViolationProbing SUSY CP Violationin Stop Decays at the LHCin Stop Decays at the LHC
The
Uni
vers
ity
of M
anch
este
r
Frank [email protected]
University of Manchester
in collaboration with Olaf Kittel (Granada U.)
arXiv:0905.3088 [hep-ph]
SUSY09, Boston, 7 June 2009
7/6/2009Frank Deppisch SUSY CP Violation in Stop Decays at LHC22/22/22
CP ViolationCP Violation
CP violation in quark sector
7/6/2009Frank Deppisch SUSY CP Violation in Stop Decays at LHC33/22/22
CP ViolationCP Violation
CP violation in quark sectorCP violation in neutrino sector?
7/6/2009Frank Deppisch SUSY CP Violation in Stop Decays at LHC44/22/22
CP ViolationCP Violation
CP violation in quark sectorCP violation in neutrino sector?Baryon Asymmetry of the Universe
→ New mechanism of CP Violation required
B = nB/n = 6.1−0.20.3⋅10−10
7/6/2009Frank Deppisch SUSY CP Violation in Stop Decays at LHC55/22/22
CP ViolationCP Violation
CP violation in quark sectorCP violation in neutrino sector?Baryon Asymmetry of the Universe
→ New mechanism of CP Violation requiredSupersymmetry Possible new CP phases in SUSY and SUSY-breaking
Gaugino mass terms → φM1 , φM3
Higgs mixing term → φµ 3rd generation trilinear scalar coupling terms → φAt,b,τ
B = nB/n = 6.1−0.20.3⋅10−10
7/6/2009Frank Deppisch SUSY CP Violation in Stop Decays at LHC66/22/22
Bounds from Electric Dipole MomentsBounds from Electric Dipole MomentsStringent bounds from electron and neutron EDMs ∣d e∣4⋅10−27e⋅cm
∣d n∣6⋅10−26e⋅cm
7/6/2009Frank Deppisch SUSY CP Violation in Stop Decays at LHC77/22/22
Bounds from Electric Dipole MomentsBounds from Electric Dipole MomentsStringent bounds from electron and neutron EDMs
Generally constrain SUSY phases to be small (or SUSY scale large), e.g. φµ < π/10
∣d e∣4⋅10−27e⋅cm∣d n∣6⋅10−26e⋅cm
7/6/2009Frank Deppisch SUSY CP Violation in Stop Decays at LHC88/22/22
Bounds from Electric Dipole MomentsBounds from Electric Dipole MomentsStringent bounds from electron and neutron EDMs
Generally constrain SUSY phases to be small (or SUSY scale large), e.g. φµ < π/10
… unless cancellations occur between contributions
∣d e∣4⋅10−27e⋅cm∣d n∣6⋅10−26e⋅cm
=1°=1°
7/6/2009Frank Deppisch SUSY CP Violation in Stop Decays at LHC99/22/22
Triple Product AsymmetriesTriple Product Asymmetries
CP-even observables at colliders sensitive to phasesmassesbranching ratioscross sections
7/6/2009Frank Deppisch SUSY CP Violation in Stop Decays at LHC1010/22/22
Triple Product AsymmetriesTriple Product Asymmetries
CP-even observables at colliders sensitive to phasesmassesbranching ratioscross sections
CP-odd observables are needed to confirm CP Violation
7/6/2009Frank Deppisch SUSY CP Violation in Stop Decays at LHC1111/22/22
Triple Product AsymmetriesTriple Product Asymmetries
CP-even observables at colliders sensitive to phasesmassesbranching ratioscross sections
CP-odd observables are needed to confirm CP Violation
Momentum triple product
→ T-odd → CPT Invariance → CP-odd
p1p3
p2
T= p1⋅ p2× p3
− p1
− p3
− p2
Time Reversal
7/6/2009Frank Deppisch SUSY CP Violation in Stop Decays at LHC1212/22/22
Triple Product AsymmetriesTriple Product Asymmetries
CP-even observables at colliders sensitive to phasesmassesbranching ratioscross sections
CP-odd observables are needed to confirm CP Violation
Momentum triple product
→ T-odd → CPT Invariance → CP-odd
CP-odd asymmetry
p1p3
p2
A=N T0−N T0
N T0N T0=∫ sign T ∣M∣2d Lips
∫∣M∣2d Lips
T= p1⋅ p2× p3
− p1
− p3
− p2
Time Reversal
7/6/2009Frank Deppisch SUSY CP Violation in Stop Decays at LHC1313/22/22
Stop Production at the LHCStop Production at the LHC
FrameworkmSUGRA decorated with CP phases at EW scale
Benchmark Scenario
7/6/2009Frank Deppisch SUSY CP Violation in Stop Decays at LHC1414/22/22
Stop Production at the LHCStop Production at the LHC
FrameworkmSUGRA decorated with CP phases at EW scale
Benchmark Scenario
Stop pair production at the LHCppt i t i
∗
Stop boost distributionCross section
7/6/2009Frank Deppisch SUSY CP Violation in Stop Decays at LHC1515/22/22
CP-odd Asymmetries in Stop DecaysCP-odd Asymmetries in Stop DecaysStop cascade decay sensitive to φAt, φµ(, φM1) from spin-spin correlations
20 l L /R
t 1
7/6/2009Frank Deppisch SUSY CP Violation in Stop Decays at LHC1616/22/22
CP-odd Asymmetries in Stop DecaysCP-odd Asymmetries in Stop DecaysStop cascade decay sensitive to φAt, φµ(, φM1) from spin-spin correlations
Triple product asymmetries not Lorentz-invariant
20 l L /R
t 1
7/6/2009Frank Deppisch SUSY CP Violation in Stop Decays at LHC1717/22/22
CP-odd Asymmetries in Stop DecaysCP-odd Asymmetries in Stop DecaysStop cascade decay sensitive to φAt, φµ(, φM1) from spin-spin correlations
Triple product asymmetries not Lorentz-invariant Asymmetry reduction with stop boost
Effect of stop boost on asymmetry
20 l L /R
Alab= 1∫0
∞ d d t
Ad t
t 1
7/6/2009Frank Deppisch SUSY CP Violation in Stop Decays at LHC1818/22/22
mSUGRA ParametersmSUGRA Parameters
Minimally required luminosity at the LHC to observe 1σ effectBased only on theoretical significance (statistical fluctuation of signal) S≈∣A∣ L
right-h. slepton, t1 2 t , 2l R lleft-h. slepton, t 1 2 t , 2l L l
∣A0∣=500 GeV , tan =5At=3 /4 ,=0
7/6/2009Frank Deppisch SUSY CP Violation in Stop Decays at LHC1919/22/22
CP Phase SensitivityCP Phase Sensitivity
Asymmetry largely independent of φM1 in mSUGRALarge asymmetries possible for small φAt and φµ
Asymmetry in the lab frame [%]
m0=70 GeV , m1 /2=270 GeV∣A0∣=500 GeV , tan=5
Min. luminosity required at LHCt 1 2 t , 2l R l
7/6/2009Frank Deppisch SUSY CP Violation in Stop Decays at LHC2020/22/22
ConclusionConclusion
CP Violation in Stop decays at the LHCVia 2nd Lightest NeutralinoTop-Neutralino Spin-Spin CorrelationsSensitive to CP phases φAt and φµ in mSUGRA
7/6/2009Frank Deppisch SUSY CP Violation in Stop Decays at LHC2121/22/22
ConclusionConclusion
CP Violation in Stop decays at the LHCVia 2nd Lightest NeutralinoTop-Neutralino Spin-Spin CorrelationsSensitive to CP phases φAt and φµ in mSUGRA
Triple Product AsymmetriesCP-odd observables → Signal of CP ViolationAlternative Sensitivity than EDMsDetectable at LHC
7/6/2009Frank Deppisch SUSY CP Violation in Stop Decays at LHC2222/22/22
ConclusionConclusion
CP Violation in Stop decays at the LHCVia 2nd Lightest NeutralinoTop-Neutralino Spin-Spin CorrelationsSensitive to CP phases φAt and φµ in mSUGRA
Triple Product AsymmetriesCP-odd observables → Signal of CP ViolationAlternative Sensitivity than EDMsDetectable at LHC
Motivation for experimental analysisReconstruction EfficienciesEpsilon Product of Four Momenta