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$B\to\pi\ell\ell$ form factors for new-physics searches from lattice QCD

High Energy Physics - Phenomenology 2015-10-14 v3 High Energy Physics - Lattice
Authors: Jon A. Bailey , A. Bazavov , C. Bernard , C. M. Bouchard , C. DeTar , Daping Du , A. X. El-Khadra , E. D. Freeland , E. Gamiz , Steven Gottlieb , U. M. Heller , A. S. Kronfeld , J. Laiho , L. Levkova , Yuzhi Liu , E. Lunghi , P. B. Mackenzie , Y. Meurice , E. Neil , Si-Wei Qiu , J. N. Simone , R. Sugar , D. Toussaint , R. S. Van de Water , Ran Zhou
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Abstract

The rare decay B→πℓ+ℓ−B\to\pi\ell^+\ell^- arises from b→db\to d flavor-changing neutral currents and could be sensitive to physics beyond the Standard Model. Here, we present the first abab-initioinitio QCD calculation of the B→πB\to\pi tensor form factor fTf_T. Together with the vector and scalar form factors f+f_+ and f0f_0 from our companion work [J. A. Bailey et al.et~al., Phys. Rev. D 92, 014024 (2015)], these parameterize the hadronic contribution to B→πB\to\pi semileptonic decays in any extension of the Standard Model. We obtain the total branching ratio BR(B+→π+μ+μ−)=20.4(2.1)×10−9{\text{BR}}(B^+\to\pi^+\mu^+\mu^-)=20.4(2.1)\times10^{-9} in the Standard Model, which is the most precise theoretical determination to date, and agrees with the recent measurement from the LHCb experiment [R. Aaij et al.et~al., JHEP 1212, 125 (2012)]. Note added: after this paper was submitted for publication, LHCb announced a new measurement of the differential decay rate for this process [T. Tekampe, talk at DPF 2015], which we now compare to the shape and normalization of the Standard-Model prediction.

Keywords

B to pi ll decays form factors lattice QCD flavor-changing neutral currents new physics Standard Model branching ratio

Cite

@article{arxiv.1507.01618,
  title  = {$B\to\pi\ell\ell$ form factors for new-physics searches from lattice QCD},
  author = {Jon A. Bailey and A. Bazavov and C. Bernard and C. M. Bouchard and C. DeTar and Daping Du and A. X. El-Khadra and E. D. Freeland and E. Gamiz and Steven Gottlieb and U. M. Heller and A. S. Kronfeld and J. Laiho and L. Levkova and Yuzhi Liu and E. Lunghi and P. B. Mackenzie and Y. Meurice and E. Neil and Si-Wei Qiu and J. N. Simone and R. Sugar and D. Toussaint and R. S. Van de Water and Ran Zhou},
  journal= {arXiv preprint arXiv:1507.01618},
  year   = {2015}
}

Comments

V3: Corrected errors in results for Standard-Model differential and total decay rates in abstract, Fig. 3, Table IV, and outlook. Added new preliminary LHCb data to Fig. 3 and brief discussion after outlook. Replaced outdated correlation matrix in Table III with correct final version. Other minor wording changes and references added. 7 pages, 4 tables, 3 figures

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