Models and non standard model with neutrinos
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Models and Non Standard Model with Neutrinos . Pilar Hernández University of Valencia/IFIC. SM + massive n s. Fogli et al 2012 (after T2K, Double-CHOOZ, Daya Bay, RENO ). 3 n mixing:. Standard 3 n scenario. The flavour observables:. Good prospects for CP volation.

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Models and non standard model with neutrinos

Models and Non Standard Model with Neutrinos

Pilar Hernández

University of Valencia/IFIC


Sm massive n s

SM + massive ns

Fogli et al 2012 (after T2K,

Double-CHOOZ, Daya Bay, RENO)

3nmixing:


Models and non standard model with neutrinos

Standard 3n scenario

The flavour observables:


Models and non standard model with neutrinos

Goodprospectsfor CP volation

Coloma, Donini, Fernandez-Martinez,PH arXiv:1203.5651


New dofs puzzle

New dofs puzzle

Neutrinos are massive -> there must be new dofs in the SM


New dofs puzzle1

New dofs puzzle

Neutrinos are massive -> there must be new dofs in the SM

Weinberg


Models and non standard model with neutrinos

SM

?

nSM


The good n sm

The good nSM

  • Explanation for the neutrino-charged lepton hierarchy


Models and non standard model with neutrinos

Thenflavour puzzle I

Why are neutrino masses so light ?


The good n sm1

The good nSM

  • Explanation for the neutrino-charged lepton hierarchy

  • Explain the pattern of mixing


Models and non standard model with neutrinos

Thenflavour puzzle II

CKM

VCKM =

PDG 2007

PMNS

Gonzalez-Garcia, Maltoni

Differences are striking!


The good n sm2

The good nSM

  • Explanation for the neutrino-charged lepton hierarchy

  • Explain the pattern of mixing

  • Explain other open problems: DM, matter-antimatter, oscillation anomalies, cosmology anomalies…


Massive neutrinos fundamental questions in particle physics and cosmology

Massive Neutrinos & fundamental questions in Particle Physics and Cosmology

Structure of the vacuum ?

DE ?

DM ?

Baryons ?

Flavour Puzzle: twice as many pieces ?

Growth of structure


Outlier i lsnd anomaly

Outlier I: LSND anomaly

LSND vs KARMEN

Appearance signal with very different

-

Not yet disproved at an acceptable level of confidence…


Pinning down the new physics scale

Pinning down the New physics scale

Hierarchy problem or SUSY ?

eV

keV

MeV

GeV

TeV

meV

Leptogenesis

SUSY GUTs


Pinning down the new physics scale1

Pinning down the New physics scale

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


The good n sm3

The good nSM

  • Explanation for the neutrino-charged lepton hierarchy

  • Explain the pattern of mixing

  • Explain other open problems: DM, matter-antimatter, oscillation anomalies, cosmology anomalies…

  • Do so, in a predictable and testable way !


Models and non standard model with neutrinos

No signal of SUSY/solution-of-hierarchy-problem at the LHC (yet)…


Models and non standard model with neutrinos

Occam’s razor


Pinning down the new physics scale2

Pinning down the New physics scale

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


Effective theories of neutrino masses model independent

Effective Theories of Neutrino Masses(model-independent)

IfL >> vlow-energyeffectsshould be welldescribed by aneffectivefieldtheory:

Weinberg; Buchmuller, Wyler;…

Oidbuiltfrom SM fieldssatisfyingthegaugesymmetries

Onlyonewithd=5: Weinberg’soperatoror neutrino masses !

Genericallyd=6 operators: richphenomenology


Models and non standard model with neutrinos

d=6 phenomenology

Long listofflavoured-operators

  • rareleptondecays: m -> e g

  • Z, W decays

  • rhoparameter

  • W mass, …

  • violationsofuniversality, unitarity,…

But…


Models and non standard model with neutrinos

la -> lbg

MEG

Ifjust neutrino masses:

Ifalsod=6 [email protected]


Models and non standard model with neutrinos

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

  • Ld=5~LLN>> Ld=6 ~ LLFV~ TeV

  • Originoflepton/quarkflavourviolationlinkedtotheLEW

  • Lepton number breaking scale higher and responsible

  • for the gap between n and remaining fermions


Models and non standard model with neutrinos

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)


Bsm and neutrino masses up down approach

BSM and Neutrino Masses(Up->Down approach)

?


Models and non standard model with neutrinos

New physics scale

Type I see-saw: interchange a heavysingletfermion

Minkowski; Gell-Mann, RamondSlansky; Yanagida, Glashow…


Models and non standard model with neutrinos

New physics scale

Type II see-saw: interchange a heavy triplet scalar

Konetschny, Kummer; Cheng, Li; Lazarides, Shafi, Wetterich…


Models and non standard model with neutrinos

New physics scale

Type III see-saw: interchange a heavy triplet fermion

Foot et al; Ma; Bajc, Senjanovic…


Models and non standard model with neutrinos

New physics scale

Alsofromloops !

Zee-Babu

Systematicexplorationof 1-loopgenerated Weinberg interaction

Bonnet et al 2012


Models and non standard model with neutrinos

Effectivesee-sawtheories

Alsod=6operators

Type I

Non-unitarity in

mixing !

Type III

Type II

Gavela, Broncano, Jenkins; Abada, et al


Type i seesaw

Type I Seesaw

Most general (renormalizable) Lagrangian compatible with SM

gauge symmetries:

Y: 3 xnRMN: nRxnR

mn

ms


Models and non standard model with neutrinos

Onescalesee-sawmodels

Ye


Models and non standard model with neutrinos

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


Models and non standard model with neutrinos

MinimalFlavour type I seesaw model

Gavela, Hambye, Hernandez, PH 09

Only two extra Weyl fermions + SM

Y, Y’ complex vectors, L, m, m’ numbers


Models and non standard model with neutrinos

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


Models and non standard model with neutrinos

Complementarityof CLFV and neutrino oscillations

NH

IH

Gavela, Hambye, Hernandez, PH 09


Models and non standard model with neutrinos

CLFV within reach

Dinh, Ibarra, Molinaro, Petcov 2012


Models and non standard model with neutrinos

LLFV ~ TeV: directsearches at LHC ?

Keung, Senjanovic;…

  • Generically it is needed

  • Gauge interactions of extra fields for large enough production

  • (ex. type II and type III)

  • Low enough masses for kinematical constraints

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…


Models and non standard model with neutrinos

MinimalFlavourSee-sawIII at LHC

Eboli, Gonzalez-Fraile, Gonzalez-Garcia 2011


Models and non standard model with neutrinos

CMS-PAS-HIG-12-005

Type II seesaw


Models and non standard model with neutrinos

LSND anomaly

In order to accommodate a new

  • Need at least four (ns ≥1) distinct eigenstates

  • Apparently CP violating effect needed (signal LSND/MB anti-n not MB n)

  • ns ≥ 2

  • Tension appearance (signal) and disappearance (no signal) ?

  • Tension with cosmology ?


Outlier ii reactor anomaly

Outlier II: reactor anomaly

old fluxes underestimated by 3%:

Re-calculation of reactor fluxes:

Mueller et al, ArXiv: 1101.2663


Outlier iii cosmology

Outlier III: Cosmology

Hamann et al, ArXiv: 1006.5276

Sterile species favoured by LSS and CMB

Nucleosynthesis:

Izotov, Thuan


3 2 neutrino mixing model

3+2 neutrino mixing model

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


Pheno 3 n s mixing models

Pheno 3+ns mixing models ?

Assumes a general mass matrix for 3+ns neutrinos: what is that model ?

3xns

3x3


Models and non standard model with neutrinos

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)


Models and non standard model with neutrinos

Type I see-sawmodels

Light sterile states!

De Gouvea, hep-ph/0501039

De Gouvea, J. Jenkins, Vasudevan hep-ph/0608147


Minimal models

Minimal models

Most general (renormalizable) Lagrangian compatible with SM

gauge symmetries:

3+2 minimal much more predictive than 3+2 pheno

Donini, PH, Lopez-Pavon, Maltoni 2011; De Gouvea et al 2011;


Models and non standard model with neutrinos

Heavy-Light Mixings

Heavy-light mixings are predicted up to a complex angle z45 and two

CP phases !

Normal Hierarchy

and

Suppressed in

Suppressed only in

Inverse Hierarchy


Models and non standard model with neutrinos

3+2 MM vs 3+2 PM vs 3n

Donini, PH, Lopez-Pavon, Maltoni, Schwetz ‘12


Models and non standard model with neutrinos

Heavy-Light Mixings

e

m

t

Large tau mixings to heavy states


Models and non standard model with neutrinos

Constraint on

Constraint on


Models and non standard model with neutrinos

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 ?


Models and non standard model with neutrinos

We are still lacking an independent confirmation of LSND at the same level of confidence…

New experimental programme ahead by SBL: Mauri’s Talk


Models and non standard model with neutrinos

A hierarchy ?

?


Models and non standard model with neutrinos

Conclusions

  • A espectacular experimental progress in neutrino physics has opened

  • a whole new flavour sector in the SM

  • But neutrino masses require new dofs and most probably a new energy scale

  • No hint of the scale…

Dirac n

SUSY-GUTs

1015GeV

0

TeV

Rich phenomenology: must be

explored systematically !


Models and non standard model with neutrinos

n’s have the highest score at bringing surprises…

….ask these people


Models and non standard model with neutrinos

BACKUPS


Models and non standard model with neutrinos

Flavour Symmetries ?

A lot of work has been devoted to justify the tri-bimaximal mixing features of U:

But data is getting further away from TB…

Incorporating deviations very model dependent…


Models and non standard model with neutrinos

Or Anarchy ?

Doing just fine…

De Gouvea, Murayama 2012


Dark portals

Dark portals

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


Miniboone n

MiniBOONE-n

Neutrino run

200 MeV≤ En≤ 3 GeV

-

Low energy excess…but not expected if LSND right


Miniboone n1

MiniBOONE-n

Anti-Neutrino run

Compatible with LSND !

-


Models and non standard model with neutrinos

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


Models and non standard model with neutrinos

Leptogenesisstew

But neutrino massmatrixdoesnotprovidetheexactrecipe!

mn < few eV

L violation

MN,D,S > 10 9GeV

CP violation


Models and non standard model with neutrinos

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


Models and non standard model with neutrinos

m-> eg

Chakrabortty, Ghosh, Rodejohann


Models and non standard model with neutrinos

See-saw II: Pair-productionofchargedtripletscalars

pp-> H++ H-- -> l+l+l-l-

Flavour structure one-to-one to mn !BR(H++-> la+lb+ ) ~ |Mab|2

Keung, Senjanovic;…

Han et al;Garayoa, Schwetz; Kadastik,et al ; Akeroyd, et al; Fileviez et al


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