Physics of Higgs Boson Family

Abstract

In the Standard Model, there is the single Higgs field, $\varphi$, which gives rise to constituent quark and lepton masses. The Yukawa coupling is a highly complex set of $3\times 3$ matrices, resulting in many textures of quark and lepton masses. In this talk, I present a model which transfers the complexity of the Yukawa coupling matrices to a family of Higgs fields, so that the Yukawa coupling itself becomes a simple interaction. In the context of this Enriched Standard Model, we introduce a new $r$-symmetry in the extended $SU(2{)}_L\times U(1{)}_Y\times U(1{)}_R$ model and show how the $125GeV$ and $750GeV$ resonances may be identified with $H$ and $H^{\prime }$, the key members of the Higgs family, with $H$ being in every way identifed with the SM Higgs. There are interesting consequences of their $2\gamma$ decay widths.

Invited talk at the Conference on New Physics at the LHC, IAS, Singapore, Feb 29 - Mar 4, 2016. arXiv admin note: substantial text overlap with arXiv:1408.1174