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Standard Model Predictions for Rare $K$ and $B$ Decays without $|V {cb}|$ and $|V {ub}|$ Uncertainties by Buras, Andrzej J.; Venturini, Elena is a scholarly article available to read on EtoBox.

What is Standard Model Predictions for Rare $K$ and $B$ Decays without $|V {cb}|$ and $|V {ub}|$ Uncertainties about?

The persistent tensions between inclusive and exclusive determinations of $|V_{cb}|$ and $|V_{ub}|$ weaken the power of theoretically clean rare $K$ and $B$ decays in the search for new physics (NP). We demonstrate how this uncertainty can be practically removed by considering within the SM suitable ratios of various branching ratios. This includes the branching ratios for $K^+\to\pi^+\nu\bar\nu$, $K_{L}\to\pi^0\nu\bar\nu$, $K_S\to\mu^+\mu^-$, $B_{s,d}\to\mu^+\mu^-$ and $B\to K(K^*)\nu\bar\nu$. Also $\epsilon_K$, $\Delta M_d$, $\Delta M_s$ and the mixing induced CP-asymmetry $S_{\psi K_S}$, all measured already very precisely, play an important role in this analysis. The highlights of our analysis are 16 $|V_{cb}|$ and $|V_{ub}|$ independent ratios that often are independent of the CKM arameters or depend only on the angles $\beta$ and $\gamma$ in the Unitarity Triangle with $\beta$ already precisely known and $\gamma$ to be measured precisely in the coming years by the LHCb and Belle II collaborations. Once $\gamma$ Once $\gamma$ is measured precisely these 16 ratios taken together are expected to be a powerful tool in the search for new physics. Assuming no NP in $|\epsilon_K|$ a

Author

Buras, Andrzej J.; Venturini, Elena

Published

2022

Language

EN