Semi-inclusive <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>b</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:mi>s</mml:mi><mml:mover accent="true"><mml:mrow><mml:mo>ℓ</mml:mo></mml:mrow><mml:mrow><mml:mo stretchy="true">¯</mml:mo></mml:mrow></mml:mover><mml:mo>ℓ</mml:mo></mml:mrow></mml:math> transitions at high <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>q</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>
Gino Isidori, Zachary Polonsky, Arianna Tinari
Abstract
We present an updated Standard Model (SM) estimate of the inclusive $b\ensuremath{\rightarrow}s\overline{\ensuremath{\ell}}\ensuremath{\ell}$ rate at a high dilepton invariant mass (${q}^{2}\ensuremath{\ge}15\text{ }\text{ }{\mathrm{GeV}}^{2}$). We show that this estimate is in good agreement with the result obtained summing the SM predictions for the leading one-body modes ($K$ and ${K}^{*}$) and the subleading nonresonant $K\ensuremath{\pi}$ channel (for which we also present an updated estimate). On the contrary, the semi-inclusive sum based on data exhibits a deficit compared to the inclusive SM prediction in the muon modes. The statistical significance of this deficit does not exceed $2\ensuremath{\sigma}$ but is free from uncertainties on hadronic form factors and fully compatible with the deficit observed at low-${q}^{2}$ on the exclusive modes. The implications of these results in conjunction with other SM tests on $b\ensuremath{\rightarrow}s\overline{\ensuremath{\mu}}\ensuremath{\mu}$ modes are briefly discussed.