Contribution to a conference proceedings/Internal Report

PUBDB-2015-05842

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Rare Semileptonic $B^+ \to \pi^+ \ell^+ \ell^-$ Decay

Ali, A. ; Parkhomenko, A. ; Rusov, A.

2014
Deutsches Elektronen-Synchrotron, DESY Hamburg

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Please use a persistent id in citations: doi:10.3204/DESY-PROC-2013-03/Ali

Report No.: DESY-PROC-2013-03

Abstract: We present a precise calculation of the dilepton invariant-mass spectrumand branching fraction for $B^+ \to \pi^+ \ell^+ \ell^-$ ($\ell^\pm= e^\pm, \mu^\pm $) in the Standard Model (SM) based on the effectiveHamiltonian approach for the $b \to d \ell^+ \ell^-$ transitions.Theoretical estimates strongly depend on the form factors~$f_+ (q^2)$,$f_0 (q^2)$ and~$f_T (q^2)$. Of these, $f_+ (q^2)$ is well measuredin the semileptonic decays $B \to \pi \ell \nu_\ell$ and we use the$B$-factory data to parametrize it. Using an $SU (3)_F$-breaking Ansatzand Lattice-QCD data, we calculate the $B \to \pi$ form factors. Theresulting total branching fraction ${\cal B} (B^+ \to \pi^+ \mu^+\mu^-) = \left ( 1.88^{+0.32}_{-0.21} \right ) \times 10^{-8}$ isin good agreement with the experimental value obtained by the LHCbcollaboration.T = Rare Semileptonic $B^+ \to \pi^+ \ell^+ \ell^-$ Decay

Keyword(s): branching ratio ; form factor ; lattice field theory ; dilepton: mass spectrum ; B+: rare decay ; B+: semileptonic decay

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Contributing Institute(s):

1. Bibliothek und Dokumentation (L)

Research Program(s):

1. 899 - ohne Topic (POF3-899) (POF3-899)

Experiment(s):

1. Facility (machine) HERA

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Proceedings/Internal Report Ali, A. (Editor)DESY* ; Bystritskiy, Y. (Editor) ; Ivanov, M. (Editor)
Proceedings, Helmholtz International School on Physics of Heavy Quarks and Hadrons (HQ2013)
2014Helmholtz International School on Physics of Heavy Quarks and Hadrons , HQ2013, DubnaDubna, Russia, 15 Jul 2013 - 28 Jul 20132013-07-152013-07-28 Hamburg : Deutsches Elektronen-Synchrotron, DESY (2014) [10.3204/DESY-PROC-2013-03]2014     Files BibTeX | EndNote: XML, Text | RIS

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