skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Model-independent analysis of B → πℓ{sup +}ℓ{sup −} decays

Abstract

The results obtained by calculating, on the basis of the Standard Model, the branching fractions for the decays B → πℓ{sup +}ℓ{sup −} (ℓ{sup ±} = e{sup ±}, µ{sup ±}) and the invariant-mass spectrum of dileptons for the process B{sup +} → π{sup +}ℓ{sup +}ℓ{sup −} are presented. The resulting theoretical estimates depend on the choice of model for the B → π transition form factors f{sub +}(q{sup 2}), f{sub 0}(q{sup 2}), and f{sub T} (q{sup 2}). However, one can get rid of this arbitrariness by employing experimental data or the results of QCD lattice calculations to determine the parameter dependence of the form factors. Data from B-meson factories were used to determine the dependence of the form factor f{sub +}(q{sup 2}) on the transfer momentum squared. Yet another required form factor, f{sub T} (q{sup 2}), was extracted from available lattice data on B → π and B → K transitions with allowance for nearly identical effects of the breakdown of flavor SU(3){sub F} symmetry in the respective form factors. The resulting value of the decay branching fraction, B(B{sup +} → π{sup +}µ{sup +}µ{sup −}) = (1.88{sub −0.21}{sup +0.32}) × 10{sup −8}, is in good agreement with the results ofmore » measurements of the LHCb Collaboration. The branching fraction for the isospin analog of the decay under consideration is B(B{sup +} → π{sup +}µ{sup +}µ{sup −}) = (0.94{sub −0.11}{sup +0.16}) × 10{sup −8}. Therefore, this decay can be measured at the Super-B factory under construction.« less

Authors:
 [1]; ;  [2]
  1. Deutsches Elektronen-Synchrotron DESY, Theory Group (Germany)
  2. Demidov Yaroslavl State University, Department of Theoretical Physics (Russian Federation)
Publication Date:
OSTI Identifier:
22472288
Resource Type:
Journal Article
Journal Name:
Physics of Atomic Nuclei
Additional Journal Information:
Journal Volume: 78; Journal Issue: 3; Other Information: Copyright (c) 2015 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7788
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; B MESONS; BRANCHING RATIO; ELECTRONS; FLAVOR MODEL; FORM FACTORS; ISOSPIN; MASS SPECTRA; MESON FACTORIES; MOMENTUM TRANSFER; PARTICLE DECAY; PIONS; POSITRONS; QUANTUM CHROMODYNAMICS; STANDARD MODEL; SU-3 GROUPS; SYMMETRY

Citation Formats

Ali, A., E-mail: ahmed.ali@desy.de, Parkhomenko, A. Ya., E-mail: parkh@uniyar.ac.ru, and Rusov, A. V., E-mail: rusov@uniyar.ac.ru. Model-independent analysis of B → πℓ{sup +}ℓ{sup −} decays. United States: N. p., 2015. Web. doi:10.1134/S1063778815020064.
Ali, A., E-mail: ahmed.ali@desy.de, Parkhomenko, A. Ya., E-mail: parkh@uniyar.ac.ru, & Rusov, A. V., E-mail: rusov@uniyar.ac.ru. Model-independent analysis of B → πℓ{sup +}ℓ{sup −} decays. United States. doi:10.1134/S1063778815020064.
Ali, A., E-mail: ahmed.ali@desy.de, Parkhomenko, A. Ya., E-mail: parkh@uniyar.ac.ru, and Rusov, A. V., E-mail: rusov@uniyar.ac.ru. Fri . "Model-independent analysis of B → πℓ{sup +}ℓ{sup −} decays". United States. doi:10.1134/S1063778815020064.
@article{osti_22472288,
title = {Model-independent analysis of B → πℓ{sup +}ℓ{sup −} decays},
author = {Ali, A., E-mail: ahmed.ali@desy.de and Parkhomenko, A. Ya., E-mail: parkh@uniyar.ac.ru and Rusov, A. V., E-mail: rusov@uniyar.ac.ru},
abstractNote = {The results obtained by calculating, on the basis of the Standard Model, the branching fractions for the decays B → πℓ{sup +}ℓ{sup −} (ℓ{sup ±} = e{sup ±}, µ{sup ±}) and the invariant-mass spectrum of dileptons for the process B{sup +} → π{sup +}ℓ{sup +}ℓ{sup −} are presented. The resulting theoretical estimates depend on the choice of model for the B → π transition form factors f{sub +}(q{sup 2}), f{sub 0}(q{sup 2}), and f{sub T} (q{sup 2}). However, one can get rid of this arbitrariness by employing experimental data or the results of QCD lattice calculations to determine the parameter dependence of the form factors. Data from B-meson factories were used to determine the dependence of the form factor f{sub +}(q{sup 2}) on the transfer momentum squared. Yet another required form factor, f{sub T} (q{sup 2}), was extracted from available lattice data on B → π and B → K transitions with allowance for nearly identical effects of the breakdown of flavor SU(3){sub F} symmetry in the respective form factors. The resulting value of the decay branching fraction, B(B{sup +} → π{sup +}µ{sup +}µ{sup −}) = (1.88{sub −0.21}{sup +0.32}) × 10{sup −8}, is in good agreement with the results of measurements of the LHCb Collaboration. The branching fraction for the isospin analog of the decay under consideration is B(B{sup +} → π{sup +}µ{sup +}µ{sup −}) = (0.94{sub −0.11}{sup +0.16}) × 10{sup −8}. Therefore, this decay can be measured at the Super-B factory under construction.},
doi = {10.1134/S1063778815020064},
journal = {Physics of Atomic Nuclei},
issn = {1063-7788},
number = 3,
volume = 78,
place = {United States},
year = {2015},
month = {5}
}