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

Details The decay $b\to sγ$ in the presence of a constant antisymmetric tensor field The decay $b\to sγ$ in the presence of a constant antisymmetric tensor field

2010-07-20

arxiv.org/abs/1007.3329v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages and 2 figures

Scientific paper

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.

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