neutrinos and unification from a minimal gauge extension · neutrinos and unification from a...
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!
Neutrinos and unification from a minimal gauge extension
Sofiane Boucenna LNF-INFN
!"Neutrinos from GUTs down to low energies", Garching 26/11/2015.
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Neutrinos from GUTs down to low energies
low energies up to GUTs
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Neutrinos are everywhere...
Neutrino masses are a great window onto high scales/NP
COSMO ASTRO BAU
DM FLAVORGUT
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... and not only because of the Higgs discovery!!!
2012 was a landmark year...
Daya-Bay observed the e lec t ron-ant ineut r ino disappearance, giving a precise measurement of the last unknown neutrino mixing angle; the reactor angle.!
Mixing angles seem "anarchical" now ...
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There are many, many ways to generate neutrino masses... but we can distinguish two main classes of models:!!High scale models!!!Low scale models!
nu Masses
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Krauss-Nasri-Trodden, 03'
Cheng-Li, 80'!Zee, 86'!Babu, 88'
Ma, 98', 06'Zee, 80'
[Review: !The Low-scale approach to neutrino masses,!B-Morisi-Valle, 14']
The low scale approach
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?
Neutrino mass from gauge loop?
Expected features:➢ More predictability➢ Rich pheno; LHC
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1. Radiative nu masses via W!2. Unification without GUT!3. Flavor without flavor symmetry
Outline
based on:!B-Morisi-Valle, PRD'14!B-Fonseca-GonzalesCanales-Valle, PRD(R)'15!B-Vicente-Valle, PRD'15
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1/3 Gauge origin of nu mass
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Z'
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We are then led to
;
The electric and lepton charges are given as:! ,
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➢ Explain why we have three families; anomaly cancellation implies #families=#colors
➢ One quark family is treated differently. If third gen, origin of large top mass?
➢ Tree-level Z'-mediated FCNC (L-quarks)➢ Rich LHC pheno; Z', W', extra quarks, etc.➢ Many variants; applies to different pheno needs➢ ...➢ Minimal embedding of the SM EW group
[Singer-Valle-Schechter, 80'!Singer-Valle, 83'!Pisano-Pleitez, 92'!Frampton, 92', ...]!!
3-3-1 gauge extensions pros:
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Fermions & scalars content
(3*, -1/3) (1, 0)
(3*, -1/3) (3*, -1/3)(3*, 2/3)
(3*, 1/3)(3, 0)(3, 0)
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Fermions & scalars content
(3*, -1/3) (1, 0)
(3*, -1/3) (3*, -1/3)(3*, 2/3)
(3*, 1/3)(3, 0)(3, 0)
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Gauge bosons content
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Gauge bosons content
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Leptons masses
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Leptons masses
Charged leptons masses
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Leptons masses
Neutrinos Dirac massCharged leptons masses
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Leptons masses
RH neutrinos scale
Neutrinos Dirac massCharged leptons masses
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Leptons masses
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So that neutrino masses arise from:
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Mq' = 1 TeVMq' = 10 TeV
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Does this model unify?
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:-(
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!
!
2/3 Unification
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The singlet gets a promotion
This breaks to the SM as (3, 0) + (2,1/2) + (2,-1/2) + (1,0)
(1, 0) (8, 0)
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The singlet gets a promotion
(1, 0) (8, 0)
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!
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3/3 "Gauge" Flavor symmetry
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By virtue of anti-symmetry of the 3.3.3 product, the Dirac mass inherits a structure (+ lightest nu is massless). Flavor correlations?!!!!! !!!!!!
Flavor without flavor symmetry
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By virtue of anti-symmetry of the 3.3.3 product, the Dirac mass inherits a structure (+ lightest nu is massless). Flavor correlations?!!!!! !!!!!!
Flavor without flavor symmetry
Mohapatra-Valle, 86'
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By virtue of anti-symmetry of the 3.3.3 product, the Dirac mass inherits a structure (+ lightest nu is massless). Flavor correlations?!!!!!Flavor-changing radiative decay, via W, W', Phi, as a powerful probe:!!!!!
Flavor without flavor symmetry
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Inverse-seesaw nu mass relation and antisymmetry of MD allow us to write the Dirac coupling in full generality as!!!!!!!!!which makes explicit the 1-to-1 relation LFV-oscillations parameters, up to a global scaling factor.!!!!!
Flavor without flavor symmetry
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Flavor without flavor symmetry
There are 3 different contributions:!!
➢ Contributions from charged scalar exchange➢ "Standard" loops, via W and N ➢ Loops mediated by W'
!
BR depend on: Ordering, osc. params, 331 scale, H+ scale, ms scale
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Flavor predictions(331=3TeV, f=2TeV, NH, degenerate N)!!!
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Flavor predictions - no scaling factor
(degenerate N)!!!
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Summary
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To summarize...
Ideally, the physics at the origin of neutrino masses should offer insights on other BSM problems!!Neutrino masses can arise from simple gauge loops in 3-3-1 extensions of the SM, which at the same time address other issues related to the flavor problem ! !This framework also offers flavor correlations due to the gauge structure itself, unification of gauge couplings, and rich pheno signatures: Z', B physics, LFV, etc.
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To summarize...
Ideally, the physics at the origin of neutrino masses should offer insights on other BSM problems!!Neutrino masses can arise from simple gauge loops in 3-3-1 extensions of the SM, which at the same time address other issues related to the flavor problem ! !This framework also offers flavor correlations due to the gauge structure itself, unification of gauge couplings, and rich pheno signatures: Z', B physics, LFV, etc.
Thanks!
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To summarize...
Ideally, the physics at the origin of neutrino masses should offer insights on other BSM problems!!Neutrino masses can arise from simple gauge loops in 3-3-1 extensions of the SM, which at the same time address other issues related to the flavor problem ! !This framework also offers flavor correlations due to the gauge structure itself, unification of gauge couplings, and rich pheno signatures: Z', B physics, LFV, etc.
Thanks!