English

$\delta_{CP}$ for leptons and a new take on CP physics with the FSM

High Energy Physics - Phenomenology 2022-01-05 v1

Abstract

A bonus of the framed standard model (FSM), constructed initially to explain the mass and mixing patterns of quarks and leptons, is asolution (without axions) of the strong CP problem by cancelling the theta-angle term θI\theta_I Tr(HμνHμν)Tr (H^{\mu \nu} H^*_{\mu \nu}) in colour by a chiral transformation on a quark zero mode which is inherent in FSM, and produces thereby a CP-violating phase in the CKM matrix similar in size to what is observed. Extending here to flavour, one finds that there are two terms proportional to Tr(GμνGμν)Tr (G^{\mu\nu}G^*_{\mu\nu}): (a) in the action from flavour instantons with unknown coefficient, say θI\theta'_I, (b) induced by the above FSM solution to the strong CP-problem with therefore known coefficient θC\theta'_C. Both terms can be cancelled in the FSM by a chiral transformation on the lepton zero mode to give a Jarlskog invariant JJ' in the PMNS matrix for leptons of order 10210^{-2}, as is hinted by experiment. But if the term θI\theta'_I is to be cancelled by a chiral transformation in the predicted hidden sector to solve the strong CP problem therein, leaving only the term θC\theta'_C to be cancelled by the chiral transformation on leptons, then the following prediction results: J0.012J'\sim-0.012 (δCP(1.11)π\delta'_{CP}\sim(1.11)\pi) which is (i) of the right order, (ii) of the right sign, (iii) in the range favoured by present experiment. Together with the earlier result for quarks, this offers an attractive unified treatment of all known CP physics.

Keywords

Cite

@article{arxiv.2107.05420,
  title  = {$\delta_{CP}$ for leptons and a new take on CP physics with the FSM},
  author = {José Bordes and Hong-Mo Chan and Sheung Tsun Tsou},
  journal= {arXiv preprint arXiv:2107.05420},
  year   = {2022}
}

Comments

26 pages, 1 figure