Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-05-26
Int.J.Mod.Phys. A14 (1999) 4003-4042
Physics
High Energy Physics
High Energy Physics - Phenomenology
enlarged and self-contained version (for publication); 33 pages, LaTeX2e + 36 postscript files
Scientific paper
10.1142/S0217751X99001883
K -> Pi Pi decays are investigated in the framework of the SU(2)left x U(1) gauge theory of J=0 mesons proposed in ref.[1], to which is added an interaction between mesons respecting the two symmetries generally attributed to strong interactions, flavour symmetry and parity conservation. It is shown that the damping of the K+ -> Pi+ Pi0 amplitude with respect to the ones of Kshort -> Pi Pi results from a cancelation between the W and Z gauge bosons. The ratio of the two types of amplitudes is sensitive to the spectrum of electroweak (pseudoscalar and scalar) mass eigenstates, an in particular to the mass of the Higgs boson. In the case where scalars and pseudoscalars are degenerate, the amplitudes satisfy the lower bound |(Kshort -> Pi+ Pi-) / (K+ -> Pi+ Pi0)| > 1/tan(Weinberg angle)^2.
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