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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 Physics and Cosmology

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 Physics and Cosmology

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 Physics and Cosmology

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 Physics and CosmologynSM

  • 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

Occam’s razor (yet)…


Pinning down the new physics scale2
Pinning down the New physics scale (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


Effective theories of neutrino masses model independent
Effective Theories of Neutrino Masses (yet)…(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 (yet)…=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

l (yet)…a -> lbg

MEG

Ifjust neutrino masses:

Ifalsod=6 operators@oneloop


Models and non standard model with neutrinos

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

  • 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 (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)


Bsm and neutrino masses up down approach
BSM and Neutrino Masses (yet)…(Up->Down approach)

?


Models and non standard model with neutrinos

New physics scale (yet)…

Type I see-saw: interchange a heavysingletfermion

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


Models and non standard model with neutrinos

New physics scale (yet)…

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 (yet)…

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 (yet)…

Alsofromloops !

Zee-Babu

Systematicexplorationof 1-loopgenerated Weinberg interaction

Bonnet et al 2012


Models and non standard model with neutrinos

Effective (yet)…see-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 (yet)…

Most general (renormalizable) Lagrangian compatible with SM

gauge symmetries:

Y: 3 xnRMN: nRxnR

mn

ms


Models and non standard model with neutrinos

One (yet)…scalesee-sawmodels

Ye


Models and non standard model with neutrinos

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


Models and non standard model with neutrinos

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


Models and non standard model with neutrinos

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


Models and non standard model with neutrinos

Complementarity (yet)…of CLFV and neutrino oscillations

NH

IH

Gavela, Hambye, Hernandez, PH 09


Models and non standard model with neutrinos

CLFV within reach (yet)…

Dinh, Ibarra, Molinaro, Petcov 2012


Models and non standard model with neutrinos

L (yet)…LFV ~ 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

Minimal (yet)…FlavourSee-sawIII at LHC

Eboli, Gonzalez-Fraile, Gonzalez-Garcia 2011


Models and non standard model with neutrinos

CMS-PAS-HIG-12-005 (yet)…

Type II seesaw


Models and non standard model with neutrinos

LSND anomaly (yet)…

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 (yet)…

old fluxes underestimated by 3%:

Re-calculation of reactor fluxes:

Mueller et al, ArXiv: 1101.2663


Outlier iii cosmology
Outlier III: Cosmology (yet)…

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 (yet)…

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 (yet)… 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 (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)


Models and non standard model with neutrinos

Type (yet)… I see-sawmodels

Light sterile states!

De Gouvea, hep-ph/0501039

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


Minimal models
Minimal models (yet)…

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 (yet)…

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 (yet)…vs 3+2 PM vs 3n

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


Models and non standard model with neutrinos

Heavy-Light Mixings (yet)…

e

m

t

Large tau mixings to heavy states


Models and non standard model with neutrinos

Constraint on (yet)…

Constraint on


Models and non standard model with neutrinos

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 ?


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 ? the same level of confidence…

?


Models and non standard model with neutrinos

Conclusions the same level of confidence…

  • 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 the same level of confidence…’s have the highest score at bringing surprises…

….ask these people


Models and non standard model with neutrinos

BACKUPS the same level of confidence…


Models and non standard model with neutrinos

Flavour the same level of confidence… 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 ? the same level of confidence…

Doing just fine…

De Gouvea, Murayama 2012


Dark portals
Dark portals the same level of confidence…

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 the same level of confidence…-n

Neutrino run

200 MeV≤ En≤ 3 GeV

-

Low energy excess…but not expected if LSND right


Miniboone n1

the same level of confidence…

MiniBOONE-n

Anti-Neutrino run

Compatible with LSND !

-


Models and non standard model with neutrinos

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


Models and non standard model with neutrinos

Leptogenesis the same level of confidence…stew

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 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


Models and non standard model with neutrinos

m the same level of confidence…-> eg

Chakrabortty, Ghosh, Rodejohann


Models and non standard model with neutrinos

See the same level of confidence…-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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