Springer : Short- vs. long-distance physics in $B\rightarrow K^{(*)} \ell ^+\ell ^-$: a data-driven analysis

Bordone, Marzia; Tinari, Arianna; isidori, Gino; Mächler, Sandro

doi:10.1140/epjc/s10052-024-12869-5

Article
Report number	arXiv:2401.18007 ; CERN-TH-2024-017
Title	*Short- vs. long-distance physics in $B\rightarrow K^{()} \ell ^+\ell ^-$: a data-driven analysis**
Author(s)	Bordone, Marzia (CERN) ; isidori, Gino (Zurich U.) ; Mächler, Sandro (Zurich U.) ; Tinari, Arianna (Zurich U.)
Publication	2024-05-31
Imprint	2024-01-31
Number of pages	13
In:	Eur. Phys. J. C 84 (2024) 547
DOI	10.1140/epjc/s10052-024-12869-5
Subject category	hep-ph ; Particle Physics - Phenomenology
Abstract	We analyze data on $B\to K\mu^+\mu^-$ and $B\to K^*\mu^+\mu^-$ decays in the whole dilepton invariant mass spectrum with the aim of disentangling short- vs. long-distance contributions. The sizable long-distance amplitudes from $c \bar{c}$ narrow resonances are taken into account by employing a dispersive approach. For each available $q^2=m_{\mu\mu}^2$ bin and each helicity amplitude an independent determination of the Wilson coefficient $C_9$, describing $b\to s\ell^+\ell^-$ transitions at short distances, is obtained. The consistency of the $C_9$ values thus obtained provides an a posteriori check of the absence of additional, sizable, long-distance contributions. The systematic difference of these values from the Standard Model expectation supports the hypothesis of a non-standard $b\to s \mu^+\mu^-$ amplitude of short-distance origin.
Copyright/License	preprint: (License: arXiv nonexclusive-distrib 1.0) publication: © 2024 The Author(s) (License: CC-BY-4.0), sponsored by SCOAP³

$Determinations of $C_9$ in different $q^2$ bins from $B \rightarrow K \mmpair$ data. The error bars indicate the $68\%$ confidence interval. The red band denotes the SM value. The gray band corresponds to the value extracted assuming a constant ($q^2$-independent) $C_9$, respectively. In the first plot the experimental results from LHCb and CMS have been combined, whereas in the second plot two separate fits are performed due to different bin widths in the experimental datasets. The bins shown in the figure are the LHCb ones; the best-fit points from CMS data correspond to the bins $(14.82, 16), (16, 17), (17, 18), (18, 19.24), (19.24, 22.9)$ (all in $\mathrm{GeV}^2$).$ $Determinations of $C_9$ in different $q^2$ bins from $B \rightarrow K \mmpair$ data. The error bars indicate the $68\%$ confidence interval. The red band denotes the SM value. The gray band corresponds to the value extracted assuming a constant ($q^2$-independent) $C_9$, respectively. In the first plot the experimental results from LHCb and CMS have been combined, whereas in the second plot two separate fits are performed due to different bin widths in the experimental datasets. The bins shown in the figure are the LHCb ones; the best-fit points from CMS data correspond to the bins $(14.82, 16), (16, 17), (17, 18), (18, 19.24), (19.24, 22.9)$ (all in $\mathrm{GeV}^2$).$ $Determinations of $C_9$ in different $q^2$ bins from the different polarizations of the $B\rightarrow K^* \mmpair$ decay. Notations as in Figure~\ref{fig:BK}.$ Show more plots

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Record created 2024-02-02, last modified 2024-06-06

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