Maximising the physics potential of $B^{\pm }\to {\pi }^{\pm }{\mu }^{+}{\mu }^{-}$ decays

Abstract

We present a method that maximises the experimental sensitivity to new physics contributions in $B^{\pm }\to {\pi }^{\pm }{\mu }^{+}{\mu }^{-}$ decays. This method relies on performing an unbinned maximum likelihood fit to both the measured dimuon $q^2$ distribution of $B^{\pm }\to {\pi }^{\pm }{\mu }^{+}{\mu }^{-}$ decays, and theory calculations at spacelike $q^2$, where QCD predictions are most reliable. We exploit the known analytic properties of the decay amplitude and employ a dispersion relation to describe the non-local hadronic contributions across spacelike and timelike $q^2$ regions. The fit stability and the sensitivity to new physics couplings and new sources of $CP$-violation are studied for current and future data-taking scenarios, with the LHCb experiment as an example. The proposed method offers a precise and reliable way to search for new physics in these decays.

References in corpus (49)

• New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules
• B-physics anomalies: a guide to combined explanations
• Photonic penguins at two loops and m_t-dependence of BR[ B -> X_s l^+ l^-]
• Model-independent description of $B\to \pi l\nu$ decays and a determination of $|V_{ub}|$
• Angular Distributions of B -> K ll Decays
• Simultaneous Explanation of $R(D^{(\ast )})$ and $b\to s{\mu }^{+}{\mu }^{-}$: The Last Scalar Leptoquarks Standing
• Anomalies in $B$-decays and $U(2)$ flavour symmetry
• Angular analysis and differential branching fraction of the decay $B_s^0\to \varphi {\mu }^{+}{\mu }^{-}$
• Measurement of $CP$-averaged observables in the $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ decay
• Lepton Flavor Violation in B Decays?
• Angular analysis of $B_d^0\to K^{\ast }{\mu }^{+}{\mu }^{-}$ decays in $pp$ collisions at $\sqrt{s}=8$ TeV with the ATLAS detector
• Test of lepton-flavor universality in $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ decays at Belle
• $|V_{ub}|$ from $B\to \pi \ell \nu$ decays and (2+1)-flavor lattice QCD
• Angular analysis of the decay B0 to K*0 mu mu from pp collisions at sqrt(s) = 8 TeV
• Light-cone sum rules for $B\to \pi$ form factors revisited
• Branching fraction measurements of the rare $B_s^0\to \varphi {\mu }^{+}{\mu }^{-}$ and $B_s^0\to f_2^{\prime }(1525){\mu }^{+}{\mu }^{-}$ decays
• $B\to \pi \ell \nu$ and $B_s\to K\ell \nu$ form factors and $|V_{ub}|$ from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
• General Analysis of B -> K^(*) l^+ l^- Decays at Low Recoil
• Test of lepton flavor universality and search for lepton flavor violation in $B\to K\ell \ell$ decays
• Improved Theory Predictions and Global Analysis of Exclusive $\mathbf{b}\to \mathbf{s}{\mathbf{\mu }}^{+}{\mathbf{\mu }}^{-}$ Processes
• Searching for New Physics with $b\to s{\tau }^{+}{\tau }^{-}$ processes
• Precise Calculation of the Dilepton Invariant-Mass Spectrum and the Decay Rate in $B^{\pm }\to {\pi }^{\pm }{\mu }^{+}{\mu }^{-}$ in the SM
• Constraints on Lepton Universality Violation from Rare $B$ Decays
• Low-energy signatures of the ${\mathrm{PS}}^3$ model: from $B$-physics anomalies to LFV
• QCD Corrections to B -> X_{d,s} nu nubar, B_{d,s} -> l^+l^-, K -> pi nu nubar and K_L -> mu^+ mu^- in the MSSM
• Measurement of the $B_s^0\to {\mu }^{+}{\mu }^{-}$ decay properties and search for the $B^0\to {\mu }^{+}{\mu }^{-}$ and $B_s^0\to {\mu }^{+}{\mu }^{-}\gamma$ decays
• Measurement of lepton universality parameters in $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ and $B^0\to K^{\ast 0}{\ell }^{+}{\ell }^{-}$ decays
• To (b)e or not to (b)e: No electrons at LHCb
• Angular analysis of the $B^{+}\to K^{\ast +}{\mu }^{+}{\mu }^{-}$ decay
• Measurement of the B${}_{\mathrm{S}}^0$ $\to$ ${\mu }^{+}{\mu }^{-}$ decay properties and search for the B${}^0$ $\to$ ${\mu }^{+}{\mu }^{-}$ decay in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• First measurement of the differential branching fraction and $CP$ asymmetry of the $B^{\pm }\to {\pi }^{\pm }{\mu }^{+}{\mu }^{-}$ decay
• Measurement of the phase difference between short- and long-distance amplitudes in the $B^{+}\to K^{+}{\mu }^{+}{\mu }^{-}$ decay
• Dispersive Analysis of $B\to K^{(\ast )}$ and $B_s\to \varphi$ Form Factors
• An empirical model of the long-distance contributions to ${\bar{B}}^0\to {\bar{K}}^{\ast 0}{\mu }^{+}{\mu }^{-}$ transitions
• $B\to \pi \ell \ell$ form factors for new-physics searches from lattice QCD
• Hadronic effects and observables in $B\to \pi {\ell }^{+}{\ell }^{-}$ decay at large recoil
• The $\bar{B}\to \pi$ form factors from QCD and their impact on $|V_{ub}|$
• Evidence for the decay $B_s^0\to \overline{K}{}^{\ast 0}{\mu }^{+}{\mu }^{-}$
• Model-independent analysis of $b\to d$ processes
• Prospects for disentangling long- and short-distance effects in the decays $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$
• Angular analysis of the decay B${}^{+}$ $\to$ K${}^{\ast }$(892)${}^{+}{\mu }^{+}{\mu }^{-}$ in proton-proton collisions at $\sqrt{s}=$ 8 TeV
• Precision Measurements of $\mathcal{B}[\psi (3686)\to {\pi }^{+}{\pi }^{-}J/\psi ]$ and $\mathcal{B}[J/\psi \to l^{+}{l}^{-}]$
• Hunting for $B^{+}\to K^{+}{\tau }^{+}{\tau }^{-}$ imprints on the $B^{+}\to K^{+}{\mu }^{+}{\mu }^{-}$ dimuon spectrum
• Bs to mu mu gamma from Bs to mu mu
• Insights on the current semi-leptonic $B$-decay discrepancies -- and how $B_s\to {\mu }^{+}{\mu }^{-}\gamma$ can help
• The LFU Ratio $R_{\pi }$ in the Standard Model and Beyond
• Study of the $b\to d\ell \ell$ transitions in the Standard Model and test of New Physics sensitivities
• Probing New Physics in $b\to d$ Transitions
• Measurement of the ratio of branching fractions and difference in $CP$ asymmetries of the decays $B^{+}\to J/\psi {\pi }^{+}$ and $B^{+}\to J/\psi K^{+}$