The European Physical Journal C > 2017 > 77 > 3 > 1-15
Measurement of the phase difference between short- and long-distance amplitudes in the $${{B} ^+} \!\rightarrow {{{K}} ^+} {\mu ^+\mu ^-} $$ B + → K + μ + μ - decay
Source
Abstract
A measurement of the phase difference between the short- and long-distance contributions to the $${{B} ^+} \!\rightarrow {{{K}} ^+} {\mu ^+\mu ^-} $$ B + → K + μ + μ - decay is performed by analysing the dimuon mass distribution. The analysis is based on pp collision data corresponding to an integrated luminosity of 3 $$\mathrm{\,fb}^{-1}$$ fb - 1 collected by the LHCb experiment in 2011 and 2012. The long-distance contribution to the $${{B} ^+} \!\rightarrow {{{K}} ^+} {\mu ^+\mu ^-} $$ B + → K + μ + μ - 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 $${{J}/\psi }$$ J / ψ and $$\psi {(2S)}$$ ψ ( 2 S ) 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, $$\mathcal {C}_{9}$$ C 9 and $$\mathcal {C}_{10}$$ C 10 , and the branching fraction of the short-distance component is measured.
Identifiers
journal ISSN : | 1434-6044 |
journal e-ISSN : | 1434-6052 |
DOI | 10.1140/epjc/s10052-017-4703-2 |
Authors
Z. Ajaltouni
- Clermont Université, Université Blaise Pascal, CNRS/IN2P3, LPC, Clermont-Ferrand, France