Chiral Lagrangian for proton decay

Abstract

We extend the recent chiral model of Claudson, Wise, and Hall to include vector and axial-vector mesons as gauge bosons of an SU(3 )L X SU(3 IR chiral symmetry. The resulting baryon-numberviolating interaction Lagrangian contains an additional free parameter and modifies significantly the two-body branching ratios of protons. Without some experimental input, it is not possible to predict definite branching ratios even in the minimal SU(5) model of grand unification. Depending on the values of the effective parameters of the chiral Lagrangian, several interesting possibilities for the branching ratios arise, and they are discussed in some detail. We provide, within the framework of the model, general formulas for two-body decays of the proton for an arbitrary grand unified theory including both Higgs-and gauge-boson exchanges. We also discuss how the effective parameters in our chiral model can be related to quark and bag models, and thereby show how various models can be tested for their consistency with the chiral aspects of strong interactions.

Proton stability in grand unified theories, in strings and in branes

“…[150]. However, the vector meson decay modes have generally smaller branching ratios than the corresponding pseudo-scalar decay modes.…”

Introducing light vector and axial vector mesons in the union of chiral and heavy quark symmetries

“…The method we adopt to introduce the light vector and axial vector fields follows closely the papers listed in [8,9], though the background to it can be found in various fundamental papers by authors we have listed in[lO, l I].…”

“…one writes the transformation property of g ( x ) under Using (5) and (6) can write a Lagrangian density [8] g is related to the p width via [8] L=Lo+L, ,…”

“…Using (9) with O,, the four-velocity, and V, defined in (8). The form (29) differs from that in Ref.…”

“…The method uses local SUL ( 3 ) X SUR ( 3 ) and builds on earlier investigations in Refs. [8,9]. The vector and the axial vector mesons are introduced as massless gauge particles.…”