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Renormalization group evolution of {ital R}-parity-violating Yukawa couplings

Journal Article · · Physical Review, D
; ; ;  [1]
  1. Physics Department, University of Wisconsin, Madison, Wisconsin 53706 (United States)
We study the evolution of {ital R}-parity-violating (RPV) couplings in the minimum supersymmetric standard model, between the electroweak and grand unification scales, assuming a family hierarchy for these coupling strengths. Particular attention is given to solutions where both the {ital R}-conserving and {ital R}-violating top-quark Yukawa couplings simultaneously approach infrared fixed points; these we analyze both algebraically and with numerical solutions of the evolution equations at the one-loop level. We identify constraints on these couplings at the GUT scale, arising from lower limits on the top-quark mass. We show that fixed points offer a new source of bounds on RPV couplings at the electroweak scale. We derive evolution equations for the CKM matrix, and show that RPV couplings affect the scaling of the unitarity triangle. The fixed-point behavior is compatible with all present experimental constraints. However, fixed-point values of RPV top-quark couplings would require the corresponding sleptons or squarks to have a mass {approx_gt}{ital m}{sub {ital t}} to suppress strong new top-quark decays to sparticles. {copyright} {ital 1996 The American Physical Society.}
Research Organization:
Indiana University
DOE Contract Number:
FG02-91ER40661; FG02-95ER40896
OSTI ID:
284583
Journal Information:
Physical Review, D, Journal Name: Physical Review, D Journal Issue: 11 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English

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