Measurement of the phase difference between short- and long-distance amplitudes in the $B^{+}\to K^{+}{\mu }^{+}{\mu }^{-}$ decay

Abstract

A measurement of the phase difference between the short- and long-distance contributions to the $B^{+}\to K^{+}{\mu }^{+}{\mu }^{-}$ decay is performed by analysing the dimuon mass distribution. The analysis is based on $pp$ collision data corresponding to an integrated luminosity of 3 $\mathrm{f}{\mathrm{b}}^{-1}$ collected by the LHCb experiment in 2011 and 2012. The long-distance contribution to the $B^{+}\to K^{+}{\mu }^{+}{\mu }^{-}$ decay is modelled as a sum of relativistic Breit--Wigner amplitudes representing different vector meson resonances decaying to muon pairs, each with their own magnitude and phase. The measured phases of the $J/\psi$ and $\psi (2S)$ resonances are such that the interference with the short-distance component in dimuon mass regions far from their pole masses is small. In addition, constraints are placed on the Wilson coefficients, ${\mathcal{C}}_9$ and ${\mathcal{C}}_{10}$, and the branching fraction of the short-distance component is measured.

arXiv comment23 pages, 4 figures, published in EPJC. All figures and tables, along with any supplementary material and additional information, are available at http://lhcbproject.web.cern.ch/lhcbproject/Publications/LHCbProjectPublic/LHCb-PAPER-2016-045.html

References in corpus (42)

• PYTHIA 6.4 Physics and Manual
• PYTHIA 6.2 Physics and Manual
• A Brief Introduction to PYTHIA 8.1
• LHCb Detector Performance
• PHOTOS Monte Carlo: a precision tool for QED corrections in Z and W decays
• The LHCb Trigger and its Performance in 2011
• Symmetries and Asymmetries of B -> K* mu+ mu- Decays in the Standard Model and Beyond
• Neutrino Trident Production: A Powerful Probe of New Physics with Neutrino Beams
• Angular analysis of the $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ decay using $3\,\mbox{fb}^{-1}$ of integrated luminosity
• Explaining $h\to {\mu }^{\pm }{\tau }^{\mp }$, $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ and $B\to K{\mu }^{+}{\mu }^{-}/B\to K{e}^{+}{e}^{-}$ in a two-Higgs-doublet model with gauged $L_{\mu }-L_{\tau }$
• Measurement of the Differential Branching Fraction and Forward-Backword Asymmetry for B->K(*)l+l-
• Understanding the B->K*mu+mu- Anomaly
• Dressing L_mu - L_tau in Color
• Differential branching fractions and isospin asymmetries of $B\to K^{(\ast )}{\mu }^{+}{\mu }^{-}$ decays
• Global analysis of $b\to s\ell \ell$ anomalies
• Model-independent description of $B\to \pi l\nu$ decays and a determination of $|V_{ub}|$
• New physics in $b\to s$ transitions after LHC run 1
• Lepton Polarization in the Decays $B\to X_s{\mu }^{+}{\mu }^{-}$ and $B\to X_s{\tau }^{+}{\tau }^{-}$
• Measurements of the Cross Section for e+e- -> hadrons at Center-of-Mass Energies from 2 to 5 GeV
• On B -> V l l at small dilepton invariant mass, power corrections, and new physics
• On the impact of power corrections in the prediction of B->K*mu+mu- observables
• Measurement of Branching Fractions and Rate Asymmetries in the Rare Decays B -> K(*) l+ l-
• $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ decays at large recoil in the Standard Model: a theoretical reappraisal
• Comprehensive Bayesian Analysis of Rare (Semi)leptonic and Radiative B Decays
• $B\to K{\ell }^{+}{\ell }^{-}$ decay at large hadronic recoil
• On the anomalies in the latest LHCb data
• An explicit Z'-boson explanation of the B->K*mu+mu- anomaly
• Angular analysis of the decay B0 to K*0 mu mu from pp collisions at sqrt(s) = 8 TeV
• $B\to K{l}^{+}{l}^{-}$ decay form factors from three-flavor lattice QCD
• Determination of the $\psi (3770)$, $\psi (4040)$, $\psi (4160)$ and $\psi (4415)$ resonance parameters
• On the LHCb anomaly in B -> K* l+ l-
• Measurement of the Λ_b^0, Ξ_b^- and Ω_b^- baryon masses
• Forward-backward and isospin asymmetry for B -> K* l+ l- decay in the standard model and in supersymmetry
• Isospin asymmetries in $B\to (K^{\ast },\rho )\gamma /l^{+}{l}^{-}$ and $B\to K{l}^{+}{l}^{-}$ in and beyond the Standard Model
• Resonances gone topsy turvy - the charm of QCD or new physics in $b\to s{\ell }^{+}{\ell }^{-}$?
• Explaining the $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ data with scalar interactions
• Observation of a resonance in $B^{+}\to K^{+}{\mu }^{+}{\mu }^{-}$ decays at low recoil
• New Physics in b -> s mu+ mu-: CP-Violating Observables
• Measurement of the Forward-Backward Asymmetry in the B -> K(*) mu+ mu- Decay and First Observation of the Bs -> phi mu+ mu- Decay
• Toward a coherent solution of diphoton and flavor anomalies
• Measurement of $CP$ asymmetries in the decays $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ and $B^{+}\to K^{+}{\mu }^{+}{\mu }^{-}$
• Branching ratio measurements and isospin violation in B-meson decays

Cited by in corpus (37)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2018
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2021
• Patterns of New Physics in $b\to s{\ell }^{+}{\ell }^{-}$ transitions in the light of recent data
• Towards the discovery of new physics with lepton-universality ratios of $b\to s\ell \ell$ decays
• Amplitude analysis of the $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decay
• Implications of new evidence for lepton-universality violation in $b\to s{\ell }^{+}{\ell }^{-}$ decays
• A New Light Particle in B Decays?
• $B_s\to K\ell {\nu }_{\ell }$ and $B_{(s)}\to \pi (K){\ell }^{+}{\ell }^{-}$ decays at large recoil and CKM matrix elements
• Hadronic uncertainties in $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$: a state-of-the-art analysis
• $B\to K$ and $D\to K$ form factors from fully relativistic lattice QCD
• Standard Model predictions for $B\to K{\ell }^{+}{\ell }^{-}$, $B\to K{\ell }_1^{-}{\ell }_2^{+}$ and $B\to K\nu \bar{\nu }$ using form factors from $N_f=2+1+1$ lattice QCD
• Understanding the first measurement of $\mathcal{B}(B\to K\nu \bar{\nu })$
• Flavor Anomalies in Heavy Quark Decays
• Rare FCNC radiative leptonic $B_{s,d}\to \gamma l^{+}{l}^{-}$ decays in the Standard Model
• Test of lepton flavor universality in B${}^{\pm }$ $\to$ K${}^{\pm }{\mu }^{+}{\mu }^{-}$ and B${}^{\pm }$ $\to$ K${}^{\pm }$e${}^{+}$e${}^{-}$ decays in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Disentangling left and right-handed neutrino effects in $B\to K^{(\ast )}\nu \nu$
• Direct determination of Wilson coefficients using $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ decays
• Anomalies in B mesons decays: A phenomenological approach
• Determination of short- and long-distance contributions in $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ decays
• Flavour anomalies on the eve of the Run-2 verdict
• Flavour anomalies: a review
• Some results on Lepton Flavour Universality Violation
• The LFU Ratio $R_{\pi }$ in the Standard Model and Beyond
• Status of rare exclusive $B$ meson decays in 2018
• Footprints of New Physics in the angular distribution of $B_c\to D_s^{\ast }(\to D_s\gamma ,(D_s\pi )){\ell }^{+}{\ell }^{-}$ decays
• Electroweak Penguin Decays of $b$-Flavoured Hadrons
• On the effective lifetime of $B_s\to \mu \mu \gamma$
• Maximising the physics potential of $B^{\pm }\to {\pi }^{\pm }{\mu }^{+}{\mu }^{-}$ decays
• Constraints on the anomalous $Wtb$ couplings from $B$-physics experiments
• Branching Fraction of the Decay $B^{+}\to {\pi }^{+}{\tau }^{+}{\tau }^{-}$ and Lepton Flavor Universality Test via the Ratio $R_{\pi }(\tau /\mu )$
• Flavour Anomalies: A comparative analysis using a machine learning algorithm
• Experimental summary of the $52^{\mathrm{nd}}$ Rencontres de Moriond session on Electroweak Interactions and Unified Theories
• Rare b-hadron decays as probe of new physics
• Charmonium contribution to $B \rightarrow K\ell^+\ell^-: testing the factorization approximation on the lattice
• Long-distance QCD effects in FCNC $B\to \gamma l^{+}{l}^{-}$ decays
• Test of factorization for the long-distance effects from charmonium on $B\to K{\ell }^{+}{\ell }^{-}$
• Recent progress in decays of $b$ and $c$ hadrons