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In this talk, I describe a global fit to \(B \rightarrow PP\) decays, where \(B = \{B^0, B^+, B_s^0\}\) and the pseudoscalar \(P = \{\pi , K\}\) , under the assumption of flavour SU(3) symmetry [SU(3) \(_F\) ]. It is found that the individual fits to \(\varDelta S=0\) or \(\varDelta S=1\) decays are good, but the combined fit is very poor: there is a \(3.6\sigma \) disagreement with the standard model. (This is quite a bit larger than the anomaly in \(b \rightarrow s \ell ^+ \ell ^-\) transitions.) This discrepancy can be removed by adding SU(3) \(_F\) -breaking effects, but 1000% SU(3) \(_F\) breaking is required, considerably more than the \(\sim 20\%\) breaking of \(f_K/f_\pi - 1\) . These results are rigorous, group-theoretically – no theoretical assumptions have been made. But when one adds a single assumption motivated by QCD factorization, the discrepancy grows to \(4.4\sigma \) . These are the anomalies in hadronic B decays. Although one cannot yet claim that new physics is present, it is clear that something very unexpected is going on.

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Anomalies in Hadronic B Decays

  • 会议论文

  • 发表日期：

    2025年

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  • David London

摘要

In this talk, I describe a global fit to \(B \rightarrow PP\) decays, where \(B = \{B^0, B^+, B_s^0\}\) and the pseudoscalar \(P = \{\pi , K\}\) , under the assumption of flavour SU(3) symmetry [SU(3) \(_F\) ]. It is found that the individual fits to \(\varDelta S=0\) or \(\varDelta S=1\) decays are good, but the combined fit is very poor: there is a \(3.6\sigma \) disagreement with the standard model. (This is quite a bit larger than the anomaly in \(b \rightarrow s \ell ^+ \ell ^-\) transitions.) This discrepancy can be removed by adding SU(3) \(_F\) -breaking effects, but 1000% SU(3) \(_F\) breaking is required, considerably more than the \(\sim 20\%\) breaking of \(f_K/f_\pi - 1\) . These results are rigorous, group-theoretically – no theoretical assumptions have been made. But when one adds a single assumption motivated by QCD factorization, the discrepancy grows to \(4.4\sigma \) . These are the anomalies in hadronic B decays. Although one cannot yet claim that new physics is present, it is clear that something very unexpected is going on.