Enhanced electromagnetic correction to the rare $B$-meson decay $B_{s,d}\to {\mu }^{+}{\mu }^{-}$

Abstract

We investigate electromagnetic corrections to the rare $B$-meson leptonic decay $B_{s,d}\to {\mu }^{+}{\mu }^{-}$ from scales below the bottom-quark mass $m_b$. Contrary to QCD effects, which are entirely contained in the $B$-meson decay constant, we find that virtual photon exchange can probe the $B$-meson structure, resulting in a "non-local annihilation" effect. We find that this effect gives rise to a dynamical enhancement by a power of $m_b/{\Lambda }_{\mathrm{QCD}}$ and by large logarithms. The impact of this novel effect on the branching ratio of $B_{s,d}\to {\mu }^{+}{\mu }^{-}$ is about $1\%$, of the order of the previously estimated non-parametric theoretical uncertainty, and four times the size of previous estimates of next-to-leading order QED effects due to residual scale dependence. We update the Standard Model prediction to $\overline{\mathcal{B}}(B_s\to {\mu }^{+}{\mu }^{-}{)}_{\mathrm{SM}}=(3.57\pm 0.17)\cdot 10^{-9}$.

References in corpus (1)

• Probing New Physics via the $B_s^0\to {\mu }^{+}{\mu }^{-}$ Effective Lifetime

Cited by in corpus (36)

• 50 Years of Quantum Chromodynamics
• Bs mixing observables and Vtd/Vts from sum rules
• Implications of new evidence for lepton-universality violation in $b\to s{\ell }^{+}{\ell }^{-}$ decays
• Anomalies in Particle Physics
• Factorization for Azimuthal Asymmetries in SIDIS at Next-to-Leading Power
• $B\to K\nu \bar{\nu }$, MiniBooNE and muon $g-2$ anomalies from a dark sector
• $B\to D\ell {\nu }_{\ell }$ form factors beyond leading power and extraction of $|V_{cb}|$ and $R(D)$
• QED factorization of non-leptonic $B$ decays
• Flavour anomalies and the muon $g-2$ from feebly interacting particles
• Collinear expansion for color singlet cross sections
• Physical constraints derived from FCNC in the 3-3-1-1 model
• Light-cone distribution amplitudes of light mesons with QED effects
• Refactorisation in subleading $\bar{B}\to X_s\gamma$
• Structure-Dependent QED Effects in Exclusive B Decays at Subleading Power
• Searching for New Physics with $\overline{\mathcal{B}}(B_{s,d}\to \mu \bar{\mu })/\Delta M_{s,d}$
• On the contribution of the electromagnetic dipole operator ${\mathcal{O}}_7$ to the ${\bar{B}}_s\to {\mu }^{+}{\mu }^{-}$ decay amplitude
• The LFU Ratio $R_{\pi }$ in the Standard Model and Beyond
• On sum rules for semi-leptonic $b\to c$ and $b\to u$ decays
• On the Impact of Soft Photons on $B\to K{\ell }^{+}{\ell }^{-}$
• Current Status of the Muon g-2 Interpretations within Two-Higgs-Doublet Models
• Study of charmless two-body baryonic $B$ decays
• Structure-dependent QED effects in exclusive $B$-meson decays
• New physics in $\text{b}\to \text{s}$ transitions in the MF331 model
• Resolving Charged Hadrons in QED -- Gauge Invariant Interpolating Operators
• $B_s\to {\mu }^{+}{\mu }^{-}$ in a Two-Higgs-Doublet Model with flavour-changing up-type Yukawa couplings
• Renormalisation group evolution of the shape function $g_{17}$ in $\bar{B}\to X_s\gamma$ and $\bar{B}\to X_s{\ell }^{+}{\ell }^{-}$ at subleading power
• Flavor phenomenology of an extended 2HDM with inverse seesaw mechanism
• Analysis of $B_{(s)}^0\to {\mu }^{+}{\mu }^{-}$ decays at the LHC
• Questions of flavor physics and neutrino mass from a flipped hypercharge
• Precision Tests in $b\to s{\ell }^{+}{\ell }^{-}$ ($\ell =e,\mu$) at FCC-ee
• Alternative implementation of atomic form factors
• Universal lepton universality violation in exclusive processes
• $B_s^0\to {\mu }^{+}{\mu }^{-}$ in a flavor violating extension of MSSM
• Recent results on $B\to {\mu }^{+}{\mu }^{-}$ decays with the CMS experiment
• The Simplest B Decay, Precisely
• Re-evaluation of the isoscalar mixing angle within selected mesonic nonets