SUSY QCD and SUSY Electroweak Loop Corrections to $b, t$ and $τ$ Masses Including the Effects of CP Phases

Details SUSY QCD and SUSY Electroweak Loop Corrections to $b, t$ and $τ$ Masses Including the Effects of CP Phases SUSY QCD and SUSY Electroweak Loop Corrections to $b, t$ and $τ$ Masses Including the Effects of CP Phases

2003-01-15

arxiv.org/abs/hep-ph/0301110v3

Phys.Rev. D67 (2003) 095003; Erratum-ibid. D68 (2003) 019901

Physics

High Energy Physics

High Energy Physics - Phenomenology

33 pages, Latex, including 15 figures. Revised version with typos corrected. Paper to appear in Physical Review D

Scientific paper

10.1103/PhysRevD.67.095003

We compute supersymmetric QCD and supersymmetric electroweak corrections to the b and t quark masses and to the $\tau$ lepton mass in the presence of CP phases valid for all $\tan\beta$. The analysis includes one loop diagrams arising from the exchange of gluinos, charginos and neutralinos. We find that the CP effects can change both the magnitude as well as the sign of the supersymmetric loop correction. In the region of parameter space studied we found that the numerical size of the correction to the b quark mass can be as large as 30 percent and to the $\tau$ lepton mass as much as 5 percent. For the top quark mass the correction is typically less than a percent. These corrections are of importance in unified models since $b-\tau$ and $b-t-\tau$ unification is strongly affected by the size of these corrections. More generally these results will be of importance in analyses of quark-lepton textures with the inclusion of CP phases. Further, the analysis presented here is relevant in a variety of low energy phenomena where supersymmetric QCD and supersymmetric electroweak corrections on b mass enter prominently in B physics, e.g., in processes such as $B^0_{s,d}\to l^+\l^-$.

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