(Received February 16, 1987)
We arrive at a theory of the Higgs potential by extending the usual concept of the covariant derivative containing the gauge fields to one which also contains the Higgs fields, by using a spinor connection compatible under local gauge transformations. Not only the Yukawa couplings are geometrized by this procedure but also the nonlinear Higgs potential naturally appears within the curvature of the corresponding spinor connection. Taking the gauge group to be SU(2) ×U(1), we arrive for the loptonic Weinberg Salam model at a Weinberg angle prediction of sin 2 θ= 1/4 and at a Higgs mass of about 263-270GeV without using any supersymmetry argument. Taking the gauge group to be SU(3)c ×SU(2) ×U(1) the above leptonic result is obtained only if e2/gS2 is sufficiently small, which is approximately true. Working with two independent Higgs doublets we arrive at a Higgs mass sum rule, where two Higgs must have a mass of about 188GeV.
URL : http://ptp.ipap.jp/link?PTP/78/640/
DOI : 10.1143/PTP.78.640