Neutrino Mass and Grand Unification of Flavor. R. N. Mohapatra Goranfest, June 2010 Split. Brief Remembrances. CCNY-70’s: Turbulent times Look back, Look at, Look ahead Joy was doing physics…. Two Outstanding Problems in Particle Physics Today.
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R. N. Mohapatra
Goranfest, June 2010
Look back, Look at, Look ahead
Joy was doing physics…
--Higgs, SUSY, Extra D
--LHC will probe this:
-- Many non-collider probes:
(Weinberg; Wilczek,Zee; Fritzsch)
(i) Majorana or Dirac ?
(ii) Mass ordering: normal
(iii) Value of
(iv) Any possible CP violation ?
(Harrison, Perkins, Scott; Xing; He, Zee)
(ii) Flavor issues :
Quarks and leptons so different-
is a unified description of
Flavor possible ?
lepton mixings are large.
elements are large.
others are massless. Turn on
Other fermions c,s,mu pick up mass with
and SO(10) (which contains LR) are precisely such theories.
SO(10) Nu mass
Lazaridis, Shafi, Wetterich; R.N.M.,Senjanovic; Schecter, Valle’81
: (Bajc, Senjanovic,Vissani’02)
Pakvasa Ferrandis (2004-05)
and if flavor structure is such that triplet
Higgs do not connect, no p-decay problem:
(i) New ansatz to unify diverse profiles of quark and lepton flavor patterns.
(ii) SO(10) GUT with type II seesaw provides a natural framework for realization of this ansatz.
(iii) Predicts measurable and solves proton decay problem of susy GUTs.
Happy Birthday, Goran !
they are at low energies. Leptons
(i) Majorana or Dirac
(Nucl matrix element )
(ii) Absolute mass scale:
(iii) Mass ordering:
(iv) Value of
(v) CP phase
Fermion masses depend on 3 matrices: h, f, h’
large neutrino mixngs come entirely from charged lepton sector; and hence are large!!
rotated f and h’.
realizations of this idea:
and new physics beyond SM.
-neutrino mass tiny
and neutrino Majorana
GUT scale GeV-
-Small neutrino mass strong indication for SUSYGUT;