New physics upper bound on the branching ratio of \(B_{s} \to l^{+}l^{-}\gamma\). (English) Zbl 1192.81392
Summary: We consider the effect of new physics on the branching ratio of \(B_s\to l^+l^-\gamma\) where \(l = e,\mu\). If the new physics is of the form scalar/pseudoscalar, then it makes no contribution to \(B_s\to l^+l^-\gamma\), unlike in the case of \(B_s\to l^+l^-\), where it can potentially make a very large contribution. If the new physics is in the form of vector/axial-vector operators, then the present data on \(B\to(K, K^*) l^+l^-\) does not allow a large enhancement for \(B(B_s \to l^+l^- \gamma)\). If the new physics is in the form of tensor/pseudotensor operators, then the data on \(B\to(K, K^*) l^+l^-\) gives no useful constraint but the data on \(B\to K^*\gamma\) does. Here again, a large enhancement of \(B(B_s \to l^+l^- \gamma)\), much beyond the Standard Model expectation, is not possible. Hence, we conclude that the present data on \(b\to s\) transitions allow a large boost in \(B(B_s \to l^+l^-)\) but not in \(B(B_s \to l^+l^- \gamma)\).
MSC:
| 81V35 | Nuclear physics |
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