LFV

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LFV
NOW 2006 Conca Specchiulla, Italy September 9 -
16, 2006

• Antonio Masiero
• Univ. of Padova and
• INFN, Padova

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ON A NEW HIGH ENERGY SCALE IN PHYSICS

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

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THE FATE OF LEPTON NUMBER
L VIOLATED
L CONSERVED
? Dirac ferm. (dull option)
? Majorana ferm.
SMALLNESS of m?
h ?LH ?R m?h ?H? M??1 eV
h?10-11
EXTRA-DIM. ?R in the bulk small overlap?
PRESENCE OF A NEW PHYSICAL MASS SCALE
NEW HIGH SCALE
NEW LOW SCALE
SEE - SAW MECHAN.
MAJORON MODELS
Minkowski Gell-Mann, Ramond, Slansky, Yanagida
Gelmini, Roncadelli
ENLARGEMENT OF THE HIGGS SCALAR SECTOR
?
?R
ENLARGEMENT OF THE FERMIONIC SPECTRUM
h ?L ?L ?
M?R ?R h ?L ? ?R
m? h ? ? ?
?R
?L
LR Models?
?L O h ???
N.B. EXCLUDED BY LEP!
?R h ??? M
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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
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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 gtgt 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?
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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?)
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How Large LFV in SUSY SEESAW?

• 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
• UPMNS 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
  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
  MoroiA.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

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Bright prospects for the experimental sensitivity
to LFV
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LFV with MULTIPLE RUNNING THRESHOLDS
CALIBBI, FACCIA, A.M., VEMPATI For previous
related works, see, in particular, HISANO et al.
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µ e? in SUSYGUT past and future
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MEG POTENTIALITIES TO EXPLORE THE SUSY SEESAW
PARAM. SPACE
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LFV SENSITIVITY ON THE Ue3 UNKNOWN
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Antusch, Arganda, Herrero, Teixera
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Antusch et al.
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and PRISM/PRIME conversion experiment
LFV from SUSY GUTs Lorenzo Calibbi
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and the Super B (and Flavour) factories
LFV from SUSY GUTs Lorenzo Calibbi
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LFV LHC SENSITIVITIES IN PROBING THE SUSY
PARAM. SPACE
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Sensitivity of ? e? to Ue3 for various
Snowmass points in mSUGRA with seesaw
A.M.,
Vempati, Vives
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Antusch, Arganda, Herrero, Teixera
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Antusch et al.
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Antusch, Arganda, Herrero, Teixera
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Antusch et al.
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FCNC HADRON-LEPTON CONNECTION IN SUSYGUT

• If
  
• MPl MGUT MW
• soft SUSY breaking terms arise
• at a scale gt 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)
  

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GUT -RELATED SUSY SOFT BREAKING TERMS
SU(5) RELATIONS
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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
• f Uf f 0
• f Uf f

fi
o
fi
f i
fi



f j

?
x
?

?ijf ?ijf ? ?ijf / mf ave




Unless mf and mf are aligned, f is not a mass
eigenstate Hall, Kostelecki, Raby

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BOUNDS ON THE HADRONIC FCNC 1 - 2 DOWN GENERATION
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BOUNDS ON THE HADRONIC FCNC 1 - 3 DOWN GENERATIO
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Bounds on 1 - 2 lepton generation LFV
tan? 10
Bounds scale as (tan?)-1
For slepton masses of O(400 GeV)!
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Bounds on 1-3 and 2-3 lepton generation LFV
Possible cancellation preclude bounds on the RR
mass insertions
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Bounds on the hadronic (?12)RR as modified by the
inclusion of the LFV correlated bound
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Bounds on the hadronic (?23)RR as modified by the
inclusion of the LFV correlated bound
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Bounds on the hadronic (?23)RL as modified by the
inclusion of the LFV correlated bound
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Bounds on the hadronic (?12)LL as modified by the
inclusion of the LFV correlated bound
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Bounds on the hadronic (?23)LL as modified by the
inclusion of the LFV correlated bound
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DEVIATION from ? - e UNIVERSALITY
A.M., Paradisi, Petronzio
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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-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 contributions to RK
Extension to B l? deviation from
universality Isidori, A.M., Paradisi (in
progress)
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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
  LEPTONIC FCNC FROM SUSYGUTs
• Flavor Physics plays a crucial role for
  reconstructing the
• New Physics discovered at LHC !

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LHC
NEW PHYSICS AT THE ELW SCALE
DARK MATTER
"LOW ENERGY" PRECISION PHYSICS
m? n? ?? LINKED TO COSMOLOGICAL EVOLUTION
FCNC, CP ?, (g-2), (??)0??
Possible interplay with dynamical DE
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BACKUP SLIDES
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BOUNDS ON THE HADRONIC FCNC 1 - 2 DOWN GENERATION
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BOUNDS ON THE HADRONIC FCNC 1 - 3 DOWN GENERATION
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Bounds on 1 - 2 lepton generation LFV
tan? 10
Bounds scale as (tan?)-1
For slepton masses of O(400 GeV)!
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Bounds on 1-3 and 2-3 lepton generation LFV
Possible cancellation preclude bounds on the RR
mass insertions
47
Bounds on the hadronic (?12)LL as modified by the
inclusion of the LFV correlated bound
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Bounds on the hadronic (?12)RR as modified by the
inclusion of the LFV correlated bound
49
Bounds on the hadronic (?13)RR as modified by the
inclusion of the LFV correlated bound
50
Bounds on the hadronic (?23)RR as modified by the
inclusion of the LFV correlated bound
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Bounds on the hadronic (?13)RL as modified by the
inclusion of the LFV correlated bound
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Bounds on the hadronic (?23)RL as modified by the
inclusion of the LFV correlated bound
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Bounds on the hadronic (?13)LL as modified by the
inclusion of the LFV correlated bound
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Bounds on the hadronic (?23)LL as modified by the
inclusion of the LFV correlated bound
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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
  LEPTONIC FCNC FROM SUSYGUTs
• Flavor Physics plays a crucial role for
  reconstructing the
• New Physics discovered at LHC !

56

LHC
NEW PHYSICS AT THE ELW SCALE
DARK MATTER
"LOW ENERGY" PRECISION PHYSICS
m? n? ?? LINKED TO COSMOLOGICAL EVOLUTION
FCNC, CP ?, (g-2), (??)0??
Possible interplay with dynamical DE
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