Models and Non Standard Model with Neutrinos . Pilar Hernández University of Valencia/IFIC. SM + massive n s. Fogli et al 2012 (after T2K, DoubleCHOOZ, Daya Bay, RENO ). 3 n mixing:. Standard 3 n scenario. The flavour observables:. Good prospects for CP volation.
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Pilar Hernández
University of Valencia/IFIC
Fogli et al 2012 (after T2K,
DoubleCHOOZ, Daya Bay, RENO)
3nmixing:
Standard 3n scenario
The flavour observables:
Goodprospectsfor CP volation
Coloma, Donini, FernandezMartinez,PH arXiv:1203.5651
Neutrinos are massive > there must be new dofs in the SM
Neutrinos are massive > there must be new dofs in the SM
Weinberg
SM
?
nSM
Thenflavour puzzle I
Why are neutrino masses so light ?
Thenflavour puzzle II
CKM
VCKM =
PDG 2007
PMNS
GonzalezGarcia, Maltoni
Differences are striking!
Structure of the vacuum ?
DE ?
DM ?
Baryons ?
Flavour Puzzle: twice as many pieces ?
Growth of structure
LSND vs KARMEN
Appearance signal with very different

Not yet disproved at an acceptable level of confidence…
Hierarchy problem or SUSY ?
eV
keV
MeV
GeV
TeV
meV
Leptogenesis
SUSY GUTs
bb0n
LFV processes, Precision tests, LHC
Neutrino osc.
Hierarchy problem or SUSY ?
eV
keV
MeV
GeV
TeV
meV
CMB, LSS
Baryogenesis
Leptogenesis
SUSY GUTs
Nucleosynthesis
No signal of SUSY/solutionofhierarchyproblem at the LHC (yet)…
Occam’s razor
2) LHC reach
3) LSND reach
1) Decoupling physics
Warm DM ?
Hierarchy ?
eV
keV
MeV
GeV
TeV
meV
LSND, reactor anomalies?
Extra radiation ?
Matter/antimatter asymmetry ?
GUT ?
Ruchayskiy’s talk
IfL >> vlowenergyeffectsshould be welldescribed by aneffectivefieldtheory:
Weinberg; Buchmuller, Wyler;…
Oidbuiltfrom SM fieldssatisfyingthegaugesymmetries
Onlyonewithd=5: Weinberg’soperatoror neutrino masses !
Genericallyd=6 operators: richphenomenology
d=6 phenomenology
Long listofflavouredoperators
But…
la > lbg
MEG
Ifjust neutrino masses:
Ifalsod=6 operators@oneloop
Could d=6 be stronger ?
Yesiftwoindependentscales in d=5, d=6 from a symmetryprinciple: leptonnumber
Cirigliano et al 05, Kersten,Smirnov 07 ; Abada et al 07
Are d=6 flavour structures related to neutrino masses ?
Minimal Flavour Violation
Chivukula, Georgi; Buras et al.;D’Ambrosio et al; Cirigliano et al; Davidson et al, Gavela, et al
(cd=5)ab~(cd=6)ab~mn
All flavour violating effects determined by neutrino masses and mixings
Unfortunately not the case for most popular models of neutrino mass
(ex. Type I seesaw)
?
New physics scale
Type I seesaw: interchange a heavysingletfermion
Minkowski; GellMann, RamondSlansky; Yanagida, Glashow…
New physics scale
Type II seesaw: interchange a heavy triplet scalar
Konetschny, Kummer; Cheng, Li; Lazarides, Shafi, Wetterich…
New physics scale
Type III seesaw: interchange a heavy triplet fermion
Foot et al; Ma; Bajc, Senjanovic…
New physics scale
Alsofromloops !
ZeeBabu
Systematicexplorationof 1loopgenerated Weinberg interaction
Bonnet et al 2012
Effectiveseesawtheories
Alsod=6operators
Type I
Nonunitarity in
mixing !
Type III
Type II
Gavela, Broncano, Jenkins; Abada, et al
Most general (renormalizable) Lagrangian compatible with SM
gauge symmetries:
Y: 3 xnRMN: nRxnR
mn
ms
Onescaleseesawmodels
Ye
Type I or III + (approx) Lepton number
Wyler, Wolfenstein; Mohapatra, Valle;
Branco, Grimus, Lavoura, Malinsky, Romao,…
nR
Inverse Seesaw
Direct Seesaw
L= +1 1 +1
mn
mn
v MN/m
M2N/m
Y unsuppressed: > LFV effects at LHC, large m> eg, etc
> heavier spectrum MN,Yv
Kersten,Smirnov 07; Abada et al 07; Gavela,et al 09
MinimalFlavour type I seesaw model
Gavela, Hambye, Hernandez, PH 09
Only two extra Weyl fermions + SM
Y, Y’ complex vectors, L, m, m’ numbers
Minimal type I seesaw model
Neutrino masses & mixings determine Y up to a global normalization (and Majorana phase)
Normal hierarchy
Inverted hierarchy
AlsoRaidal, Strumia, Turzynski 2004; Ibarra et al 2010
Complementarityof CLFV and neutrino oscillations
NH
IH
Gavela, Hambye, Hernandez, PH 09
CLFV within reach
Dinh, Ibarra, Molinaro, Petcov 2012
LLFV ~ TeV: directsearches at LHC ?
Keung, Senjanovic;…
Type II: Han et al;Garayoa, Schwetz; Kadastik,et al ; Akeroyd, et al; Fileviez et al, del Aguila et al
Type III: Franceschini et al; Arhrib et al; Eboli et al…
MinimalFlavourSeesawIII at LHC
Eboli, GonzalezFraile, GonzalezGarcia 2011
CMSPASHIG12005
Type II seesaw
LSND anomaly
In order to accommodate a new
old fluxes underestimated by 3%:
Recalculation of reactor fluxes:
Mueller et al, ArXiv: 1101.2663
Hamann et al, ArXiv: 1006.5276
Sterile species favoured by LSS and CMB
Nucleosynthesis:
Izotov, Thuan
Parametrized in terms of a general unitary 5x5 mixing matrix
(9 angles, >6 phases physical)
Kopp, Maltoni, Schwetz (KMS) arXiv:1103.4570
Giunti, Laveder, (GL) arXiv:1107.1452
Significant improvement over 3n scenario, but tension appearance/disappearance remains
Assumes a general mass matrix for 3+ns neutrinos: what is that model ?
3xns
3x3
Pheno 3+ns mixing models ?
Assumes a general mass matrix for 3+ns neutrinos:
Gauge invariance
Effective theory: MLLparametrizes our ignorance about the
underlying dynamics (eg. a model with nR > ns, where
the heavier states are integrated out)
Type I seesawmodels
Light sterile states!
De Gouvea, hepph/0501039
De Gouvea, J. Jenkins, Vasudevan hepph/0608147
Most general (renormalizable) Lagrangian compatible with SM
gauge symmetries:
3+2 minimal much more predictive than 3+2 pheno
Donini, PH, LopezPavon, Maltoni 2011; De Gouvea et al 2011;
HeavyLight Mixings
Heavylight mixings are predicted up to a complex angle z45 and two
CP phases !
Normal Hierarchy
and
Suppressed in
Suppressed only in
Inverse Hierarchy
3+2 MM vs 3+2 PM vs 3n
Donini, PH, LopezPavon, Maltoni, Schwetz ‘12
HeavyLight Mixings
e
m
t
Large tau mixings to heavy states
Constraint on
Constraint on
BUT….
Significant improvement over 3n scenario, but large tension appearance/disappearance in m sector remains (MINOS CC high energy)
Tension with cosmology that favours extra lighter states
New info from T2K ND ?
We are still lacking an independent confirmation of LSND at the same level of confidence…
New experimental programme ahead by SBL: Mauri’s Talk
A hierarchy ?
?
Conclusions
Dirac n
SUSYGUTs
1015GeV
0
TeV
Rich phenomenology: must be
explored systematically !
n’s have the highest score at bringing surprises…
….ask these people
BACKUPS
Flavour Symmetries ?
A lot of work has been devoted to justify the tribimaximal mixing features of U:
But data is getting further away from TB…
Incorporating deviations very model dependent…
Or Anarchy ?
Doing just fine…
De Gouvea, Murayama 2012
Schabinger, Wells 05
PattWilczek 06
Only two gauge and Lorentz invariant combinations in SM with
d <4
Bosonic
Fermionic
Any hidden sector singlet under SM gauge group can
couple to the dark portals
Neutrino run
200 MeV≤ En≤ 3 GeV

Low energy excess…but not expected if LSND right
–
AntiNeutrino run
Compatible with LSND !

Leptogenesis
Mostinterestingandrobustimplicationwiththesemodels
Works out inTypeI Fukuyita, Yanagida,…
Type II Ma,Sarkar, Hambye
Type III Hambye, Li, Papucci, Notari, Strumia
Recentprogress:
flavouredleptogenesis > followdynamicsof Le, Lm, Lt
Abada, et al; Nardi, et al
Relaxingboundonlight neutrino mass
Leptogenesisstew
But neutrino massmatrixdoesnotprovidetheexactrecipe!
mn < few eV
L violation
MN,D,S > 10 9GeV
CP violation
Type II with LLFV << LLN
If m=0 > exact L
LLN = MD2/m LLFV = MD
LFV could be measurablefromd=6 operatorsandfullycorrelatedwith
neutrino oscillations
Spectaculareffects at LHC alsofullycorrelatedwith neutrino oscillations
m> eg
Chakrabortty, Ghosh, Rodejohann
Seesaw II: Pairproductionofchargedtripletscalars
pp> H++ H > l+l+ll
Flavour structure onetoone to mn !BR(H++> la+lb+ ) ~ Mab2
Keung, Senjanovic;…
Han et al;Garayoa, Schwetz; Kadastik,et al ; Akeroyd, et al; Fileviez et al