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EDMs as probes of SUSY

EDMs as probes of SUSY. Isabella Masina (CERN). 0 * Warning: here Lepton EDM (LEDM) 1 * Constraints from LEDMs on slepton masses 2 * LEDMs from RGE-induced CPV Sources - See-Saw - See-Saw + minSU(5) - Semi-Realistic SO(10) 3 * Outlook. OUTLINE :.

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EDMs as probes of SUSY

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  1. EDMs as probes of SUSY Isabella Masina(CERN) 0* Warning: here Lepton EDM (LEDM) 1* Constraints from LEDMs on slepton masses 2* LEDMs from RGE-induced CPV Sources - See-Saw - See-Saw + minSU(5) - Semi-Realistic SO(10) 3* Outlook OUTLINE: potentially observable LFV!

  2. Beyond SM & ALL from DIPOLE OPERATOR NewPhys adim coupl of NP with lept encodes F&CP violations e.m.charge chir flip 1-loop NP loop factor NP mass scale

  3. lep-slept misalignment SUSY SUSY Loops w/ Sleptons & Gauginos Mass Insertion: FC

  4. Expansion in powers of the FV d’s FC FV

  5. FC FV No canc: pr lim in mSugrain susy region preferred by gm with tgb=10 [For more details see e.g.: IM&Savoy, ph/0211283] m->eg |dLL21 | £ 10-3 |dRR21 | £ (10-2 -1) de Argm £2x10-3 Imae/mR£0.2 Im (dLLmldRR)ee /mt£10-5 dm@10-23ecm - Im (dLLmldRR)mm /mt£10-1 Argm £10-1

  6. FC FV Scaling de/me=dm/mm Scaling violation (in general) No canc: pr lim in mSugrain susy region preferred by gm with tgb=10 [For more details see e.g.: IM&Savoy, ph/0211283] m->eg |dLL21 | £ 10-3 |dRR21 | £ (10-2 -1) de Argm £2x10-3 Imae/mR£0.2 Im (dLLmldRR)ee /mt£10-5 would need dm@2x10-25 ecm Measure of dm = scaling violation  Focus on CPV sources which violate scaling

  7. a-term and FV d’s a source of EDM a = a(0) +a(rad) At low energy d = d(0) +d (rad) in soft masses at MPl radiatively induced running from MPl to msusy by FV&CPV YUKAWAS of Heavy States Assume INHIBITION mechanism at work (e.g.mSUGRA) LFV exp’s are testing the rad !!! What about EDM exp’s ? 1) See-Saw:nc 2) GUTs:nc + HT LSS = ncYnn HDu+ ncMRnc Heavy colored Higgs Triplets (inducing p-decay) Dirac n-Yukawa coupling e.g. in SU(5): nc mass matrix

  8. See-Saw [RomaninoStrumia; EllisHisanoLolaRaidalShimizu; MSavoy; FarzanPeskin; ….]

  9. Yn See-Saw nc-deg ew Solve RGE approx M L LFV: at 1° order 1 >> (basis Ye=diag) strong impact on SS models! [’86 BorzumatiMasiero] EDM needs Im(non-herm)ii -> go at 4° order a negligible effect… deg->hier : EDM get STRONGLY enhanced, LFV not

  10. Yn See-Saw nc-hier ew Solve RGE approx M1 M2 M3 L [’03 IM] LFV: at 1° order =(Ck)ij strong impact on SS models! =1,2,3 EDM FC: at 2° order FV: at 3° order µtgb3 [’01 EllisHisanoLolaRaidalShimizu] dominant for tgb>10 [formulae written as in IM&Savoy, ph/0501166]

  11. Yn See-Saw nc-hier ew Solve RGE approx M1 M2 M3 L [’03 IM] LFV: at 1° order =(Ck)ij strong impact on SS models! =1,2,3 EDM FC: at 2° order FV: at 3° order [’01 EllisHisanoLolaRaidalShimizu] dSSm£ 10-25ecm gm-2 region with tgb=20 below planned… dSSe £1/2x10-27ecm At hand! Strong SS-model dependence

  12. See-Saw + minSU(5) [BarbieriHallStrumia; Hisano&ManyManyJapanese; ….]

  13. Yn Mk See-Saw+mSU(5) ew L MT YT LFV at 1° order: from = Cij UcTYuT EcTHTu [’03 IM] not changed not significant (now) EDM † FC: at 2° order FV: at 2° order µtgb same as only See-Saw MIXED

  14. Yn Mk See-Saw+mSU(5) even w/nc-deg ew L MT YT LFV at 1° order: from = Cij UcTYuT EcTHTu [’03 IM] not changed not significant (now) EDM † FC: at 2° order FV: at 2° order µtgb dSS5m£ 5x10-25ecm gm region , tgb=20 MT=2x1016 GeV M3=1015 GeV below planned… dSS5e £10-25ecm ABOVE present!  Im (e-ib C13)< 0.1

  15. N.B.minSU(5) ruled out by p-decay induced by HT More realistic GUTs ( that requires MT >> MGUT ) e.g. in SO(10)p-decay rate can be suppressed by introducing more Higgs triplets with particular mass matrix What predictions for de ? [IM&Savoy, hep-ph/0309067]

  16. Semi-Realistic S0(10) Introduce: d-quarks & ch-lept Yd = Ye u-quarks & Dirac-nYu = Yn Fermion Masses  T-Yukawas determined Masses ofDOUBLETSTRIPLETS (splitting problem) ? x MGUT deg cpD (as D-W!) r<1

  17. vs p  K+n de From d=5 op generated by TRIPLET exchange [’82: Weinberg, Sakai, Yanagida, ... ] tpdepends A LOT on MT –structure deg: KOcpD: SAFE gm region& tgb=3 tp [yrs] (ambiguity due to phases of GUT origin) cpD OUT deg r

  18. vs p  K+n de From d=5 op generated by TRIPLET exchange From RGE where contributions of the many heavy states sum up [’82: Weinberg, Sakai, Yanagida, ... ] tpdepends A LOT on MT –structure de INSENSITIVE to MT –structure deg: KOcpD: SAFE gm region& tgb=3 tp [yrs] With (naturally) O(1) phase: de [ecm] deg (ambiguity due to phases of GUT origin) cpD cpD OUT OUT deg r r Complementary in constraining SUSY GUTs

  19. dm < planned In this model May happen in L-R symm GUT models [see: ’00 BabuDuttaMohapatra] When dm > planned ?

  20. Outlook EDMs are effective probes of TeV-scale NP beyond SM in particular SUSY Even thought it is interesting to compare their sensitivities by considering just ONE CPV source (like Argm in SUSY) in general EDMs probe many different CPV sources This is the case for RGE-induced LEDMs where CPV sources are Heavy State’s Yukawas See-Saw: EDMs generically below exp sensitivity GUTs: EDMs possibly at hand Planned EDM exp’s have a strong impact on susy/seesaw/GUTs

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