The decay $b\to s\gamma$ in the presence of a constant antisymmetric tensor field

Abstract

A constant antisymmetric 2-tensor can arise in general relativity with spontaneous symmetry breaking or in field theories formulated in a noncommutative space-time. In this work, the one-loop contribution of a nonstandard $WW\gamma$ vertex on the flavor violating quark transition $q_i\to q_j\gamma$ is studied in the context of the electroweak Yang-Mills sector extended with a Lorentz-violating constant 2-tensor. An exact analytical expression for the on shell case is presented. It is found that the loop amplitude is gauge independent, electromagnetic gauge invariant, and free of ultraviolet divergences. The dipolar contribution to the $b\to s\gamma$ transition together with the experimental data on the $B\to X_s\gamma$ decay is used to derive the constraint ${\Lambda }_{LV}>1.96$ TeV on the Lorentz-violating scale.

14 pages and 2 figures

References in corpus (14)

• Estimate of BR(B -> X_s gamma) at O(alpha_s^2)
• NNLO QCD corrections to the B -> X_s gamma matrix elements using interpolation in m_c
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• Constraints on Supersymmetric Flavour Models from b->s gamma
• Constraints on Unparticle Interaction from $b\to s\gamma$
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Cited by in corpus (10)

• Gauge invariant electromagnetic properties of fermions induced by CPT violation in the Standard Model Extension
• One-loop effects of extra dimensions on the WWγand WWZ vertices
• Effects of Lorentz violation through the $\gamma e\to W{\nu }_e$ process in the Standard Model Extension
• Lorentz-violating effects on pair production of W bosons in photon collisions
• Implications of Lorentz violation on Higgs-mediated lepton flavor violation
• One-loop structure of the photon propagator in the Standard Model Extension
• Decays $Z\to \gamma \gamma$ and $Z\to gg$ in the Standard Model Extension
• Black Holes Thermodynamics in a new kind of Noncommutative Geometry
• Vacuum polarization in Yang-Mills theories with Lorentz violation
• CPT-Odd effects on the electromagnetic properties of charged leptons in the Standard Model Extension