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PHYSICS OF NEUTRINOFLAVORS*
Antonio MasieroUniv. of Padova
andINFN, Padova
NEUTRINO TELESCOPES, VENICE, March 6-9,2007
*NEUTRINO FLAVORS AS A WINDOW TO
NEW PHYSICS AT THE ELECTROWEAK SCALE
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WHY TO GO BEYOND THE SM
“OBSERVATIONAL” REASONS•HIGH ENERGY PHYSICS (but AFB……)•FCNC, CP≠NO (but b sqq penguin …)
•HIGH PRECISION LOW-EN.NO (but (g-2)µ …)
•NEUTRINO PHYSICSYE mν ≠0, θν≠0
•COSMO - PARTICLE PHYSICSYE (DM, ∆B cosm, INFLAT., DE)
Z bbNO
NO
NO
YES
YES
THEORETICAL REASONS•INTRINSIC INCONSISTENCY OFSM AS QFT
(spont. broken gauge theory without anomalies)
•NO ANSWER TO QUESTIONSTHAT “WE” CONSIDER“FUNDAMENTAL” QUESTIONS TOBE ANSWERED BY“FUNDAMENTAL” THEORY
(hierarchy, unification, flavor)
NO
YES
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Neutrinos are MASSIVE: New Physics IS there!
Is the above a TRIVIAL statement? SM built to have massless neutrinos ( no
RH neutrino, no isospin triplet scalar higgs)
find that neutrinos are massive andclaim that you have discovered New Physics!
• NO, NEUTRINO MASS IS “REAL” NP WITH ANEW ENERGY SCALE ASSOCIATED TO IT
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THE FATE OF LEPTON NUMBERL VIOLATED L CONSERVED
υ Majorana ferm. υ Dirac ferm.(dull option)
SMALLNESS of mυ h υLH υR mυ=h <H> Mυ<1eV h<10-11
EXTRA-DIM. νR in the bulk: small overlap?PRESENCE OF A NEW PHYSICAL MASS SCALE
NEW HIGH SCALE
SEE - SAW MECHAN.Minkowski; Gell-Mann,Ramond, SlansKy,Vanagida
ENLARGEMENT OF THEFERMIONIC SPECTRUM
MυR υR + h υL φ υR
υL ~O h <φ>υR h <φ> M
υRυL
NEW LOW SCALE
MAJORON MODELSGelmini, Roncadelli
ENLARGEMENT OF THEHIGGS SCALAR SECTOR
h υL υL Δmυ= h < Δ >
N.B.: EXCLUDED BY LEP!
νR Δ
LRModels?
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The Energy Scale from the“Observational” New Physics
neutrino masses dark matter baryogenesis inflation
NO NEED FOR THENP SCALE TO BECLOSE TO THEELW. SCALE
The Energy Scale from the “Theoretical” New Physics
Stabilization of the electroweak symmetry breaking atMW calls for an ULTRAVIOLET COMPLETION of the SM alreadyat the TeV scale +
CORRECT GRAND UNIFICATION “CALLS” FOR NEW PARTICLESAT THE ELW. SCALE
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Fundamental COUPLING CONSTANTSare NOT CONSTANT
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Fundamental interactionsunify
αSSM (MZ) < 0.080
αSexp (MZ)=0.117±0.002
αSSUSY (MZ)
Hall, Nomura
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STABLE ELW. SCALE WIMPs fromPARTICLE PHYSICS
1) ENLARGEMENTOF THE SM
SUSY EXTRA DIM. LITTLE HIGGS. (xµ, θ) (xµ, ji) SM part + new part
Anticomm. New bosonic to cancel Λ2
Coord. Coord. at 1-Loop2) SELECTIONRULE
DISCRETE SYMM.
STABLE NEWPART.
R-PARITY LSP KK-PARITY LKP T-PARITY LTP
Neutralino spin 1/2 spin1 spin0
3) FIND REGION (S)PARAM. SPACEWHERE THE “L” NEWPART. IS NEUTRAL +ΩL h2 OK
* But abandoning gaugino-masss unif. Possible to have mLSP down to 7 GeV
mLSP
~100 - 200GeV *
mLKP
~600 - 800
GeV
mLTP
~400 - 800
GeV
Bottino, Donato, Fornengo, Scopel
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ELW. SYMM. BREAKING STABILIZATION VS.FLAVOR PROTECTION: THE SCALE TENSION
UV SM COMPLETION TO STABILIZE THE ELW.SYMM. BREAKING: ΛUV ~ O(1 TeV)
Isidori
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FROM DETERMINATION TO VERIFICATIONOF THE CKM PATTERN FOR HADRONIC
FLAVOR DESCRIPTION
TREE LEVEL
ONE - LOOP
A. BURAS et al.
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THE UT - UUT OVERLAP
BLANKE, BURAS, GUADAGNOLI, TARANTINO
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What to make of this triumph ofthe CKM pattern in flavor tests?
New Physics at the Elw.Scale is Flavor BlindCKM exhausts the flavorchanging pattern at the elw.Scale
MINIMAL FLAVORVIOLATION
New Physics introduces
NEW FLAVOR SOURCES inaddition to the CKM pattern.They give rise tocontributions which are<20% in the “flavorobservables” which havealready been observed!MFV : Flavor originates only
from the SM Yukawa coupl.
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THE FATE OF FLAVOR NUMBERS
HADRONIC FLAVOR NUMBERS: strangeness, charm,beauty.. ALL VIOLATED IN FLAVOR CHANGINGCHARGED CURRENTS mismatch in thesimultaneous diagonalization of the up- and down- quarksectors allows for W intergenerational hadronic couplings
LEPTONIC FLAVOR NUMBERS: Li i= e, µ, τ violated
in υ oscillations massive neutrinos
mismatch in the simultaneousdiagonalization of the up- ( υ ) and down- ( l ) sectorsallows for W intergenerational leptonic couplings
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LFV IN CHARGED LEPTONS FCNC
Li - Lj transitions through W - neutrinos mediation
GIM suppression ( mν / MW ) 2 forever invisible
New mechanism: replace SM GIM suppression with a newGIM suppression where mν is replaced by some ∆M >>mν.
Ex.: in SUSY Li - Lj transitions can be mediated byphotino - SLEPTONS exchanges,
BUT in CMSSM (MSSM with flavor universality in theSUSY breaking sector) ∆M sleptons is O( mleptons), henceGIM suppression is still too strong.
How to further decrease the SUSY GIM suppressionpower in LFV through slepton exchange?
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1 2l R R R RL f h fL Me Lh! ! ! != + +
( ) ( )2
02
2 2
0
†1( o
8g3 ) lij jL i
G
m AM
f fM
m ! !"
+%
Non-diagonality of the slepton massmatrix in the basis of diagonal leptonmass matrix depends on the unitarymatrix U which diagonalizes (fν+ fν)
~
SUSY SEESAW: Flavor universal SUSY breaking andyet large lepton flavor violation
Borzumati, A. M. 1986 (after discussions withW. Marciano and A. Sanda)
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How Large LFV in SUSY SEESAW?
• 1) Size of the Dirac neutrino couplings fν• 2) Size of the diagonalizing matrix U
1) in MSSM seesaw or in SUSY SU(5) (Moroi): not possible to correlate the neutrino Yukawa couplings to known Yukawas; in SUSY SO(10) ( A.M., Vempati, Vives) at least one neutrino Dirac Yukawa coupling has to be of the order of the top Yukawa coupling one large of O(1) fν
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
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LFV in SUSYGUTs with SEESAW MPl MGUT MR MW
Scale of appearance of the SUSY soft breaking termsresulting from the spontaneous breaking of supergravityLow-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, VempatiLFV in MSSM seesaw: µ eγ Borzumati, A.M. τ µγ 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
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LFV with MULTIPLE RUNNINGTHRESHOLDS
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MEG POTENTIALITIES TO EXPLORETHE SUSY SEESAW PARAM. SPACE
CFMV
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µ e+γ in SUSYGUT: past and future
CFMV
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Antusch, Arganda, Herrero, Teixeira
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Lorenzo CalibbiLFV from SUSY GUTs
and PRISM/PRIME conversion experiment
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LFV LHC SENSITIVITIES INPROBING THE SUSY PARAM.
SPACE
CFMV
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LFV - DM CONSTRAINTS IN MINIMALSUPERGRAVITY
A.M., Profumo, Vempati, Yaguna
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Sensitivity of µ eγ to Ue3 for various Snowmass pointsin mSUGRA with seesaw
A.M., Vempati, Vives
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PROBING SUSY THROUGH LFV
A.M., Profumo, Vempati, Yaguna
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Large ν mixing large b-stransitions in SUSY GUTs
In SU(5) dR lL connection in the 5-pletLarge (Δl
23)LL induced by large fν of O(ftop)is accompanied by large (Δd
23)RR
In SU(5) assume large fν (Moroi)In SO(10) fν large because of an underlying Pati-Salamsymmetry(Darwin Chang, A.M., Murayama)
See also: Akama, Kiyo, Komine, Moroi; Hisano, Moroi, Tobe,Yamaguchi, Yanagida; Hisano, Nomura; Kitano,Koike, Komine,Okada
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FCNC HADRON-LEPTONCONNECTION IN SUSYGUT
If MPl MGUT MW
soft SUSY breaking terms ariseat a scale > MGUT, they have to respectthe underlying quark-lepton GU symmetry
constraints on δquark from LFV and constraints on δlepton from hadronic FCNC Ciuchini, A.M., Silvestrini, Vempati, Vives PRL general analysis Ciuchini, A.M., Paradisi, Silvestrini, Vempati, Vives
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Bounds on the hadronic (δ12)RR as modified by theinclusion of the LFV correlated bound
CMPSVV
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DEVIATION from µ - e UNIVERSALITY A.M., Paradisi, Petronzio
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HIGGS-MEDIATED LFV COUPLINGS
• When non-holomorphic terms are generatedby loop effects ( HRS corrections)
• And a source of LFV among the sleptons ispresent
• Higgs-mediated (radiativelyinduced) H-lepton-lepton LFV couplings arise
Babu, Kolda; Sher; Kitano,Koike,Komine,Okada; Dedes, Ellis, Raidal; Brignole,Rossi;Arganda,Curiel,Herrero,Temes; Paradisi;
Brignole,Rossi
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H mediated LFV SUSY contributionsto RK
Extension to B lν deviation from universalityIsidori, Paradisi
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FCNC, CP (g-2), (ββ)0ννmχ nχ σχ…
LINKED TO COSMOLOGICAL EVOLUTION
Possible interplay with dynamical DE
NEWPHYSICS AT
THE ELW SCALE
DM - FLAVOR
for DISCOVERY
and/or FUND. TH.
RECONSTRUCTION
A MAJORLEAP AHEADIS NEEDED
LFV