Renormalization group evolution of R-parity-violating Yukawa couplings

Abstract

We study the evolution of $R$-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 $R$-conserving and $R$-violating top quark Yukawa couplings simultaneously approach infrared fixed points; these we analyse both algebraically and with numerical solutions of the evolution equations at 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 behaviour 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 mass $\agt m_t$ to suppress strong new top decays to sparticles.

plain Latex, 19 pages, 3 postscript figures also submitted. Uses epsf.sty. Compressed postscript file of text with figures also available at http://phenom.physics.wisc.edu/pub/preprints/1995/madph-95-910.ps.Z or at ftp://phenom.physics.wisc.edu/pub/preprints/1995/madph-95-910.ps.Z

References in corpus (17)

• Evidence for Top Quark Production in $\bar{p}p$ Collisions at $\sqrt{s}=1.8$ TeV
• Supersymmetric Grand Unified Theories: Two Loop Evolution of Gauge and Yukawa Couplings
• On the Unification of Couplings in the Minimal Supersymmetric Standard Model
• Bounds on $\Delta B=1$ Couplings in the Supersymmetric Standard Model
• New vector-scalar contributions to neutrinoless double beta decay and constraints on R-parity violation
• Tau Signals of R-parity breaking at LEP 200
• Phenomenological Implications of the $m_t$ RGE Fixed Point for SUSY Higgs Boson Searches
• Phenomenological Implications of the m_t RGE Fixed Point for SUSY Higgs Boson Searches
• Search for High Mass Top Quark Production in p anti-p Collisions at S**(1/2) = 1.8 TeV
• New LEP bounds on $B$-violating scalar couplings: R-parity violating supersymmetry or diquarks
• Infrared Fixed Point Solution for the Top Quark Mass and Unification of Couplings in the MSSM
• New LEP constraints on some supersymmetric Yukawa interactions that violate R-parity
• New Bounds on R-parity Violating Couplings
• Universal Evolution of CKM Matrix Elements
• Constraints on Baryon-Nonconserving Yukawa Couplings in a Supersymmetric Theory
• Kinematic Evidence for Top Quark Pair Production in $W+$ Multijet Events in $p\bar{p}$ Collisions at $\sqrt{s}$~=~1.8 TeV
• Large Top and Bottom Yukawa Couplings in Minimal Supersymmetry

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