Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-06-05
Phys.Lett. B385 (1996) 198-208
Physics
High Energy Physics
High Energy Physics - Phenomenology
15 pages Latex. Minor corrections and addenda. Version to be published in Phys. Lett. B
Scientific paper
10.1016/0370-2693(96)00868-4
I study the scalar representations of the electroweak group of the Standard Model, which is a subgroup of the chiral group U(N)L x U(N)R with N flavours, for N even, with a special emphasis on their chiral properties and on their behaviour by the discrete symmetries P and CP. They exhaust the $2N^2$ scalar and pseudoscalar degrees of freedom of the chiral group, for which a SU(2)L x U(1) renormalizable, anomaly-free gauge theory naturally springs out. It is shown to have a global diagonal SU(2)V symmetry independently of the value of the hypercharge coupling, which becomes local at the limit when the latter vanishes. When acting in the 4-dimensional space of states spanned by the special representations under scrutiny in this paper, the electric charge is one of the three generators of this ``custodial'' symmetry; that the latter stays an unbroken symmetry is thus correlated with the quantization of the electric charge.
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