Dependence of holomorphicity of the gauge coupling constant on the mass matrix in supersymmetric theories

Details Dependence of holomorphicity of the gauge coupling constant on the mass matrix in supersymmetric theories Dependence of holomorphicity of the gauge coupling constant on the mass matrix in supersymmetric theories

May 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvd..49.5532l&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 49, Issue 10, 15 May 1994, pp.5532-5550

Physics

3

Supersymmetry, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Supergravity

Scientific paper

We investigate the dependence of the holomorphicity of the gauge coupling constant function on the mass matrix at one- and two-loop levels in supersymmetric theories. Gauge invariance puts constraints on the mass matrix. These constraints at the one-loop level lead us to three cases of mass matrix that require different ways of regulating the infrared contributions: massive, pseudomassive, and intrinsically massless. The first two give rise to a holomorphic gauge coupling constant function whereas the last one does not. Two-loop contributions to super QED and super Yang-Mills theory are calculated using the super background field method and their dependence on the mass matrix is found to fall under the same three cases as at the one-loop level. Remarks concerning the general nature of this result to all orders in perturbation theory are included. Making use of our two-loop results we also verify the holomorphicity of the Wilson coupling based on general arguments of Shifman and Vainshtein.

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