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- W4309132207 abstract "We impose U spin symmetry ($SU(2)_{rm Uspin}$) on the Hamiltonian for $B$ decays. As expected, we find the equality of amplitudes related by the exchange $d leftrightarrow s$. We also find that the amplitudes for the $Delta S=0$ processes $B^0 to pi^+pi^-$, $B_s^0topi^+ K^-$ and $B^0to K^+ K^-$ form a U-spin triangle relation. The amplitudes for $B_s^0to K^+ K^-$, $B^0topi^- K^+$ and $B_s^0topi^+pi^-$ form a similar $Delta S=1$ triangle relation. And these two triangles are related to one another by $d leftrightarrow s$. We perform fits to the observables for these six decays. If perfect U spin is assumed, the fit is very poor. If U-spin-breaking contributions are added, we find many scenarios that can explain the data. However, in all cases, 100% U-spin breaking is required, considerably larger than the naive expectation of $sim 20%$. This is the U-spin puzzle; it may be strongly hinting at the presence of new physics." @default.
- W4309132207 created "2022-11-23" @default.
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- W4309132207 date "2022-11-13" @default.
- W4309132207 modified "2023-09-26" @default.
- W4309132207 title "A U-spin Puzzle in $B$ Decays" @default.
- W4309132207 doi "https://doi.org/10.48550/arxiv.2211.06994" @default.
- W4309132207 hasPublicationYear "2022" @default.
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