NOW 2006 Conca Specchiulla Italy September 9 16

NOW 2006 Conca Specchiulla, Italy September 9 - 16, 2006 LFV Antonio Masiero Univ. of Padova and INFN, Padova

ON A NEW HIGH ENERGY SCALE IN PHYSICS • • GRAVITY PLANCK SCALE GUT SCALE NEUTRINO MASS SEESAW SCALE BARYOGENESIS CPV HEAVY PARTICLE DECAY • INFLATION INFLATON SCALE • STRONG CP PQ SCALE • SUPERGRAVITY SUSY BREAKING SCALE OF APPEARANCE OF THE SOFT BREAKING TERMS SIGNATURES OF A HIGH SCALE IN OUR TEV SCALE TO BE PROBED AT LHC.

THE FATE OF LEPTON NUMBER L VIOLATED L CONSERVED Dirac ferm. (dull option) Majorana ferm. SMALLNESS of m h L H R m =h H M 1 e. V h 10 -11 EXTRA-DIM. R in the bulk: small overlap? PRESENCE OF A NEW PHYSICAL MASS SCALE LE HI GH S CA NE L L R ~O h R h M SC AL E MAJORON MODELS Minkowski; Gell-Mann, Ramond, Slansky, Yanagida M R R + h L R LO W W NE SEE - SAW MECHAN. OF THE R ENLARGEMENT FERMIONIC SPECTRUM W Gelmini, Roncadelli LR Models? ENLARGEMENT OF THE HIGGS SCALAR SECTOR h L L m = h N. B. : EXCLUDED BY LEP!

THE FATE OF FLAVOR NUMBERS HADRONIC FLAVOR NUMBERS: strangeness, charm, beauty. . ALL VIOLATED IN FLAVOR CHANGING CHARGED CURRENTS mismatch in the simultaneous diagonalization of the up- and down- quark sectors allows for W intergenerational hadronic couplings LEPTONIC FLAVOR NUMBERS: Li i= e, , violated in �oscillations massive neutrinos mismatch in the simultaneous diagonalization of the up- ( ) and down- ( l ) sectors allows for W intergenerational leptonic couplings

LFV IN CHARGED LEPTONS FCNC Li - Lj transitions through W - neutrinos mediation GIM suppression ( m / MW ) 2 forever invisible New mechanism: replace SM GIM suppression with a new GIM suppression where m is replaced by some ∆M >> m. Ex. : in SUSY Li - Lj transitions can be mediated by photino - SLEPTONS exchanges, BUT in CMSSM (MSSM with flavor universality in the SUSY breaking sector) ∆M sleptons is O( mleptons), hence GIM suppression is still too strong. How to further decrease the SUSY GIM suppression power in LFV through slepton exchange?

SUSY SEESAW: Flavor universal SUSY breaking and yet large lepton flavor violation! Borzumati, A. M. 1986 ~ Non-diagonality of the slepton mass matrix in the basis of diagonal lepton mass matrix depends on the unitary matrix U which diagonalizes (f + f )

How Large LFV in SUSY SEESAW? • • 1) 1) Size of the Dirac neutrino couplings f 2) Size of the diagonalizing matrix U in MSSM seesaw or in SUSY SU(5) (Moroi): not possible to correlate the neutrino Yukawa couplings to known Yukawas; in SUSY SO(10) at least one neutrino Dirac Yukawa coupling has to be of the order of the top Yukawa coupling one large of O(1) f 2) U two “extreme” cases: a) U with “small” entries U = CKM; b) U with “large” entries with the exception of the 13 entry U=PMNS matrix responsible for the diagonalization of the neutrino mass matrix

LFV in SUSYGUTs with SEESAW MPl MGUT MR MW Scale of appearance of the SUSY soft breaking terms resulting from the spontaneous breaking of supergravity Low-energy SUSY has “memory” of all the multi-step RG occurring from such superlarge scale down to MW potentially large LFV Barbieri, Hall; Barbieri, Hall, Strumia; Hisano, Nomura, Yanagida; Hisano, Moroi, Tobe Yamaguchi; Moroi; A. M. , , Vempati, Vives; Carvalho, Ellis, Gomez, Lola; Calibbi, Faccia, A. M, Vempati LFV in MSSMseesaw: e Borzumati, A. M. Blazek, King; General analysis: Casas Ibarra; Lavignac, Masina, Savoy; Hisano, Moroi, Tobe, Yamaguchi; Ellis, Hisano, Raidal, Shimizu; Fukuyama, Kikuchi, Okada; Petcov, Rodejohann, Shindou, Takanishi; Arganda, Herrero; Deppish, Pas, Redelbach, Rueckl; Petcov, Shindou

Bright prospects for the experimental sensitivity to LFV Experiments: Running: Ba. Bar, Belle Upcoming: MEG (2006) Future: Super. KEKB (2011) PRISM/PRIME (next decade) Super Flavour factory (? )

LFV with MULTIPLE RUNNING THRESHOLDS CALIBBI, FACCIA, A. M. , VEMPATI ; For previous related works, see, in particular, HISANO et al.

µ e+ in SUSYGUT: past and future

MEG POTENTIALITIES TO EXPLORE THE SUSY SEESAW PARAM. SPACE

LFV SENSITIVITY ON THE Ue 3 UNKNOWN

Antusch, Arganda, Herrero, Teixera

Antusch et al.

and PRISM/PRIME conversion experiment LFV from SUSY GUTs Lorenzo Calibbi

and the Super B (and Flavour) factories LFV from SUSY GUTs Lorenzo Calibbi

LFV LHC SENSITIVITIES IN PROBING THE SUSY PARAM. SPACE

Sensitivity of e to Ue 3 for various Snowmass points in m. SUGRA with seesaw A. M. , Vempati, Vives

Antusch, Arganda, Herrero, Teixera

Antusch et al.

Antusch, Arganda, Herrero, Teixera

Antusch et al.

FCNC HADRON-LEPTON CONNECTION IN SUSYGUT If MPl MGUT MW soft SUSY breaking terms arise at a scale > MGUT, they have to respect the underlying quark-lepton GU symmetry constraints on quark from LFV and constraints on lepton from hadronic FCNC Ciuchini, A. M. , Silvestrini, Vempati, Vives PRL general analysis Ciuchini, A. M. , Paradisi, Silvestrini, Vempati, Vives (to appear next week)

GUT -RELATED SUSY SOFT BREAKING TERMS SU(5) RELATIONS

SCKM basis SUPER CKM: basis in the LOW - ENERGY phenomenology where through a rotation of the whole superfield (fermion + sfermion) one obtains DIAGONAL Yuhawa COUPL. for the corresponding fermion field fio fi f f ~ ~ fi Uf = f 0 Uf = f ~ ~ x fi ~ fj ijf ~ ~ ~ ijf / mf~ave Unless mf and mf~are aligned, f is not a mass eigenstate Hall, Kostelecki, Raby

BOUNDS ON THE HADRONIC FCNC: 1 - 2 DOWN GENERATION

BOUNDS ON THE HADRONIC FCNC: 1 - 3 DOWN GENERATIO

Bounds on 1 - 2 lepton generation LFV tan = 10 Bounds scale as ~ (tan )-1 For slepton masses of O(400 Ge. V)!

Bounds on 1 -3 and 2 -3 lepton generation LFV Possible cancellation preclude bounds on the RR mass insertions

Bounds on the hadronic ( 12)RR as modified by the inclusion of the LFV correlated bound

Bounds on the hadronic ( 23)RR as modified by the inclusion of the LFV correlated bound

Bounds on the hadronic ( 23)RL as modified by the inclusion of the LFV correlated bound

Bounds on the hadronic ( 12)LL as modified by the inclusion of the LFV correlated bound

Bounds on the hadronic ( 23)LL as modified by the inclusion of the LFV correlated bound

DEVIATION from - e UNIVERSALITY A. M. , Paradisi, Petronzio

HIGGS-MEDIATED LFV COUPLINGS • When non-holomorphic terms are generated by loop effects ( HRS corrections) • And a source of LFV among the sleptons is present • Higgs-mediated (radiatively induced) H-lepton LFV couplings arise Babu, Kolda; Sher; Kitano, Koike, Komine, Okada; Dedes, Ellis, Raidal; Brignole, Rossi; Arganda, Curiel, Herrero, Temes; Paradisi; Brignole, Rossi

H mediated LFV SUSY contributions to RK Extension to B l deviation from universality Isidori, A. M. , Paradisi (in progress)

OUTLOOK • • • We possess a robust Standard Model for Flavor Physics: from determining the CKM entries we entered the new era of (successful) precision tests of its consistency New physics at the elw. scale is likely to be either Flavor Blind or to account for deviations not larger than 10 - 20% from the SM predictions for the measured quantities. Still possible to have sizeable deviations in flavor observables to be measured ( for instance CP violating Bs decays) Flavor universality in the mechanism for the SUSY breaking generally does NOT imply flavor blindness of Low-Energy SUSY ( ex. SUSY seesaw) great potentialities for exps. looking for LFV RELEVANT, TESTABLE CORRELATIONS IN HADRONIC FROM SUSYGUTs Flavor Physics plays a crucial role for “reconstructing” the New Physics discovered at LHC ! LEPTONIC FCNC

NEW PHYSICS AT THE ELW SCALE m n … LINKED TO COSMOLOGICAL EVOLUTION Possible interplay with dynamical DE FCNC, CP ≠, (g-2), ( )0

BACKUP SLIDES

BOUNDS ON THE HADRONIC FCNC: 1 - 2 DOWN GENERATION

BOUNDS ON THE HADRONIC FCNC: 1 - 3 DOWN GENERATION

Bounds on 1 - 2 lepton generation LFV tan = 10 Bounds scale as ~ (tan )-1 For slepton masses of O(400 Ge. V)!

Bounds on 1 -3 and 2 -3 lepton generation LFV Possible cancellation preclude bounds on the RR mass insertions

Bounds on the hadronic ( 12)LL as modified by the inclusion of the LFV correlated bound

Bounds on the hadronic ( 12)RR as modified by the inclusion of the LFV correlated bound

Bounds on the hadronic ( 13)RR as modified by the inclusion of the LFV correlated bound

Bounds on the hadronic ( 23)RR as modified by the inclusion of the LFV correlated bound

Bounds on the hadronic ( 13)RL as modified by the inclusion of the LFV correlated bound

Bounds on the hadronic ( 23)RL as modified by the inclusion of the LFV correlated bound

Bounds on the hadronic ( 13)LL as modified by the inclusion of the LFV correlated bound

Bounds on the hadronic ( 23)LL as modified by the inclusion of the LFV correlated bound

OUTLOOK • We possess a robust Standard Model for Flavor Physics: from determining the CKM entries we entered the new era of (successful) precision tests of its consistency • New physics at the elw. scale is likely to be either Flavor Blind or to account for deviations not larger than 10 - 20% from the SM predictions for the measured quantities. • Still possible to have sizeable deviations in flavor observables to be measured ( for instance CP violating Bs decays) • Flavor universality in the mechanism for the SUSY breaking generally does NOT imply flavor blindness of Low-Energy SUSY ( ex. SUSY seesaw) great potentialities for exps. looking for LFV • RELEVANT, TESTABLE CORRELATIONS IN HADRONIC FCNC FROM SUSYGUTs • Flavor Physics plays a crucial role for “reconstructing” the New Physics discovered at LHC ! LEPTONIC

NEW PHYSICS AT THE ELW SCALE m n … LINKED TO COSMOLOGICAL EVOLUTION Possible interplay with dynamical DE FCNC, CP ≠, (g-2), ( )0