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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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
Thenflavour puzzle I
Why are neutrino masses so light ?
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
Occam’s razor (yet)…
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 (yet)…=6 phenomenology
Long listofflavouredoperators
But…
Could (yet)…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 (yet)…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 (yet)…
Type I seesaw: interchange a heavysingletfermion
Minkowski; GellMann, RamondSlansky; Yanagida, Glashow…
New physics scale (yet)…
Type II seesaw: interchange a heavy triplet scalar
Konetschny, Kummer; Cheng, Li; Lazarides, Shafi, Wetterich…
New physics scale (yet)…
Type III seesaw: interchange a heavy triplet fermion
Foot et al; Ma; Bajc, Senjanovic…
New physics scale (yet)…
Alsofromloops !
ZeeBabu
Systematicexplorationof 1loopgenerated Weinberg interaction
Bonnet et al 2012
Effective (yet)…seesawtheories
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
One (yet)…scaleseesawmodels
Ye
Type I or III (yet)…+ (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
Minimal (yet)…Flavour type I seesaw model
Gavela, Hambye, Hernandez, PH 09
Only two extra Weyl fermions + SM
Y, Y’ complex vectors, L, m, m’ numbers
Minimal (yet)…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
CLFV within reach (yet)…
Dinh, Ibarra, Molinaro, Petcov 2012
L (yet)…LFV ~ 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…
Minimal (yet)…FlavourSeesawIII at LHC
Eboli, GonzalezFraile, GonzalezGarcia 2011
CMSPASHIG12005 (yet)…
Type II seesaw
LSND anomaly (yet)…
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 (yet)… 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 (yet)… 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 (yet)…
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 (yet)…vs 3+2 PM vs 3n
Donini, PH, LopezPavon, Maltoni, Schwetz ‘12
Constraint on (yet)…
Constraint on
BUT…. (yet)…
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 ? the same level of confidence…
?
Conclusions the same level of confidence…
Dirac n
SUSYGUTs
1015GeV
0
TeV
Rich phenomenology: must be
explored systematically !
n the same level of confidence…’s have the highest score at bringing surprises…
….ask these people
BACKUPS the same level of confidence…
Flavour the same level of confidence… 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…
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
Leptogenesis the same level of confidence…
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
Leptogenesis the same level of confidence…stew
But neutrino massmatrixdoesnotprovidetheexactrecipe!
mn < few eV
L violation
MN,D,S > 10 9GeV
CP violation
Type II with the same level of confidence…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 the same level of confidence…> eg
Chakrabortty, Ghosh, Rodejohann
See the same level of confidence…saw 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