Relation between Higgs and Weinberg angles in minimal SUSY from diophantine analysis

Abstract

Diophantine quantization is applied to neutral Higgs and gauge bosons in minimal SUSY, with the additional requirement that β, like θw, be a rational angle. One finds for the Higgs mixing angles that α=−π/4 and that β=θw or π/2−θw. TheCP-odd HiggsA turns out to be degenerate in mass with the Z, and the two neutralCP-even Higgs bosons have masses of about 123 and 37.5 GeV, respectively. The charged Higgs has a mass of about 121.5 GeV. Further, if β>π/4, the infrared quasi-fixed-point solution yields at-quark mass in the neighborhood of 170 GeV, in agreement with recent data.