Rare decay $B\ensuremath{\rightarrow}K{\ensuremath{\ell}}^{\mathbf{+}}{\ensuremath{\ell}}^{\mathbf{\ensuremath{-}}}$ form factors from lattice QCD

Rare decay $B \to K ℓ^{+} ℓ^{-}$ form factors from lattice QCD

Chris Bouchard, G. Peter Lepage, Christopher Monahan, Heechang Na, and Junko Shigemitsu (HPQCD Collaboration)

Phys. Rev. D 88, 054509 – Published 26 September 2013; Erratum Phys. Rev. D 88, 079901 (2013)

Abstract

We calculate, for the first time using unquenched lattice QCD, form factors for the rare decay $B \to K ℓ^{+} ℓ^{-}$ in and beyond the Standard Model. Our lattice QCD calculation utilizes a nonrelativistic QCD formulation for the $b$ valence quarks and the highly improved staggered quark formulation for the light valence quarks. We employ the MILC $2 + 1$ asqtad ensembles. The form factor results, based on the $z$ expansion, are valid over the full kinematic range of $q^{2}$ . We construct the ratios $f_{0} / f_{+}$ and $f_{T} / f_{+}$ , which are useful in constraining new physics and verifying effective theory form factor symmetry relations. We also discuss the calculation of Standard Model observables.

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Received 25 June 2013
Corrected 1 October 2013

DOI:https://doi.org/10.1103/PhysRevD.88.054509

Corrections

1 October 2013

Erratum

Publisher’s Note: Rare decay $B \to K ℓ^{+} ℓ^{-}$ form factors from lattice QCD [Phys. Rev. D 88, 054509 (2013)]

Chris Bouchard, G. Peter Lepage, Christopher Monahan, Heechang Na, and Junko Shigemitsu

Phys. Rev. D 88, 079901 (2013)

Authors & Affiliations

Chris Bouchard^1,*, G. Peter Lepage², Christopher Monahan³, Heechang Na⁴, and Junko Shigemitsu¹ (HPQCD Collaboration)

¹Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA
²Laboratory of Elementary Particle Physics, Cornell University, Ithaca, New York 14853, USA
³Physics Department, College of William and Mary, Williamsburg, Virginia 23187, USA
⁴Argonne Leadership Computing Facility, Argonne National Laboratory, Argonne, Illinois 60439, USA

^*bouchard.18@osu.edu

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Vol. 88, Iss. 5 — 1 September 2013

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Physical Review D

covering particles, fields, gravitation, and cosmology

Rare decay $B \to K ℓ^{+} ℓ^{-}$ form factors from lattice QCD

Chris Bouchard, G. Peter Lepage, Christopher Monahan, Heechang Na, and Junko Shigemitsu (HPQCD Collaboration)

Phys. Rev. D 88, 054509 – Published 26 September 2013; Erratum Phys. Rev. D 88, 079901 (2013)

Abstract

Corrections

Erratum

Publisher’s Note: Rare decay $B \to K ℓ^{+} ℓ^{-}$ form factors from lattice QCD [Phys. Rev. D 88, 054509 (2013)]

Chris Bouchard, G. Peter Lepage, Christopher Monahan, Heechang Na, and Junko Shigemitsu

Phys. Rev. D 88, 079901 (2013)

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Physical Review D

covering particles, fields, gravitation, and cosmology

Rare decay B→Kℓ+ℓ− form factors from lattice QCD

Chris Bouchard, G. Peter Lepage, Christopher Monahan, Heechang Na, and Junko Shigemitsu (HPQCD Collaboration)

Phys. Rev. D 88, 054509 – Published 26 September 2013; Erratum Phys. Rev. D 88, 079901 (2013)

Abstract

Corrections

Erratum

Publisher’s Note: Rare decay B→Kℓ+ℓ− form factors from lattice QCD [Phys. Rev. D 88, 054509 (2013)]

Chris Bouchard, G. Peter Lepage, Christopher Monahan, Heechang Na, and Junko Shigemitsu

Phys. Rev. D 88, 079901 (2013)

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Rare decay $B \to K ℓ^{+} ℓ^{-}$ form factors from lattice QCD

Publisher’s Note: Rare decay $B \to K ℓ^{+} ℓ^{-}$ form factors from lattice QCD [Phys. Rev. D 88, 054509 (2013)]