flavor induced edms with tanbeta enhanced corrections minoru nagai (icrr, univ. of tokyo) aug. 4,...
TRANSCRIPT
Flavor induced EDMs Flavor induced EDMs with tanbeta enhanced with tanbeta enhanced
correctionscorrections
Flavor induced EDMs Flavor induced EDMs with tanbeta enhanced with tanbeta enhanced
correctionscorrectionsMinoru Nagai
(ICRR, Univ. of Tokyo)
Aug. 4, 2007
Summer Institute 2007
In collaborated with: J.Hisano (ICRR), P.Paradisi (Valencia)
Phys.Lett.B642,510 (2006)
1. Introduction1. Introduction Supersymmetric standard models is the most well-
motivated model beyond the Standard Model.
Difficulty : SUSY CP & flavor problem
Blessings•Hierarchy problem•Gauge coupling unification
•Dark matter candidate•Light Higgs•・・・
CP phases and flavor structures must be highly constrained.
Off diagonal components of sfermion mass matrixes must be tiny.
Ex.) by Δm K
Hints for the SUSY
SMs
D term SUSY breaking terms
: complex hermit matrix
off-diagonal components can have CP phases Even if these is no phases at the tree level, it can be generated by radiative corrections.Null results of EDMs severely constrained these off diagonal element.
EDM measurements are sensitive to not only CP phases but also flavor structures.
What can we probe by EDMs in supersymmetric SMs?What can we probe by EDMs in supersymmetric SMs? F term SUSY breaking terms
: complex in general
These phases may be suppressed by some SUSY breaking & mediation mechanisms.
strongly constrained by EDM experiments
at 3 loop level
2. Flavor induced EDM 2. Flavor induced EDM CP violating Dim-5 operatorsQuark
EDMQuark CEDM
CP violating effects can be estimated by basis-independent measure of CP violation, Jarlskog invariants.
There is only one CP violating phase in the CKM matrix and the corresponding Jarlskog invariant is highly suppressed by the ninth orders of Yukawa couplings.
The Standard Model
Supersymmetric standard models
There are Jarlskog invariants originated from new CP phases of squark mass matrix. In this talk, we consider the down quark (C)EDM, which tend to dominate the up quark one.
Case 1) Case 2) Case 3)
The Standard Model
Jarlskog invariant
Case 1)Case 1)
gluino contribution to EDMs
[S.Dimopoulos & L.J.Hall (1995)]
An odd number of Yukawa coupling appear to have a chirality-flip
Heavy quark mass enhancement
Case 2)Case 2)
Case 3)Case 3)
Need couplings with both charged and neutral particles
There is no contribution at 1-loop
[M.Endo et al. (2004)]
Higgsino contribution to EDMs
3. New Higgs-mediated two loop contribution3. New Higgs-mediated two loop contribution
Charged Higgs contribution to EDMs
Effective Higgs coupling induced by radiative corrections to down-quark mass matrix
Non-decoupling at the large SUSY particle mass limit
Tree level 1-loop level
Features of the higgs-mediated two loop contributionFeatures of the higgs-mediated two loop contribution
down quark (C)EDM: dd/e (dcd) [cm]
200 1000 2000
Charged Higgs mass: MH+ [GeV]
10 -1
1
10
100
10 -26
10 -27
10 -25
500 1500 1000 2000 3000 4000 5000
Ratio of 1 and 2-loop contribution:
dd (Higgs) / dd (gluino)
SUSY particle mass: mSUSY [GeV]
tanβ= 10
MH+ = 300 GeV(δLL) 13 = (0.22)3
(δRR) 31 = (0.22)3
It is slowly decoupled for heavy charged Higgs mass.
It may dominate over 1-loop gluino contribution for mSUSY> 1-2 TeV.
Hadronic EDMs in SUSY GUT modelsHadronic EDMs in SUSY GUT models
We can investigate SUSY GUT models by considering the correlation between flavor physics in the quark sector and those in the lepton sector.
SUSY GUT models Unification of gauge couplings
+ Unification of (s)quarks and (s)leptons
SU(5) GUT with right-handed neutrinos Matter multiplet :
Left-handed slepton mixingRight-handed sdown mixing
LFV、 leptonic EDM
SΦKs 、 hadronic EDM
SUSY breaking mass terms of squarks and sleptons are correlated
Neutrino Yukawa coupling
Hadronic EDMs vs. LFV processesHadronic EDMs vs. LFV processes
Strange quark CEDM (cm)
SuperB
Deuteron
Deuteron
MEG
Down quark CEDM (cm) Here, we plot the gluino contribution and the total contri
bution (gluino + charged Higgs) for quark CEDMs changing MH+ between 200 GeV and 2000 GeV
Charged Higgs contributions modify quark (C)EDMs significantly
Non Universal Higgs mass scenario
Non-decoupling in the limit of Slow decoupling in by the logarithm term of the loop function The effective coupling are induced by tanbeta enhanced corrections
Why the Higgs-mediated contribution can become large?
Large tan β Corrections for EDMsLarge tan β Corrections for EDMs
How about other contributions?Systematic calculations are
needed!
Charged Higgs
Chargino
GluinoTotal
TotalGluino
Charged Higgs
CharginoGluino
(Leading)
We discussed the flavor induced EDMs with tanbeta enhanced corrections for Yukawa couplings.
4. Summary4. Summary
We found a charged-Higgs mediated 2-loop contribution to down quark (C)EDMs can become large and it already constrains some parameter spaces in SUSY SMs.
As long as the charged Higgs mass is light, this contribution is not decoupled even if SUSY particles is heavy and can become dominant for mSUSY> 1-2 TeV.
Even if charged Higgs is heavy, (C)EDMs originated from this contribution may be detected in future experiments due to the slow decoupling feature.
For very large tanbeta, various diagrams can become important. We calculated tanbeta enhanced corrections systematically and estimated these contributions.
Back Up SlideBack Up Slide
CP phase constraintsCP phase constraints
From the neutron EDM experiment, CP phases in the MSSM are constrained by
Here, we use the following formula.
[M.Pospelov and A.Ritz (1999) ]
Hadronic EDMsHadronic EDMs
CP violating Dim-5 operatorquark EDM quark
CEDM Although there can be large hadronic uncertainty, it can be estimated as
[Hisano & Shimizu (2004) ]
Present experimental bounds
199Hg EDM
Neutron EDM
Deuteron EDM
CP violating hadronic interactions Quark
CEDM
Quark EDMQuark EDM
1. Write the SU(2)xU(1) invariant lagrangian and relate non-holomorphic Yukawa couplings to the corresponding quark mass corrections.
2. Diagonalize the quark masses and change to the CKM basis. Then relate the tree-level Yukawa couplings to the quark masses and the CKM matrix.
3. Putting them back to the original lagrangian then effective couplings are obtained.
Systematic calculation of tan beta enhanced correctionsSystematic calculation of tan beta enhanced corrections
Calculate as a function of loop factors and mixing parameters
Derive
Tree level Yukawa couplings are determined
can be expressed by and
Loop factors