B →kl+l- decay form factors from three-flavor lattice QCD

Jon A. Bailey, A. Bazavov, C. Bernard, C. M. Bouchard, C. Detar, Daping Du, A. X. El-Khadra, J. Foley, E. D. Freeland, E. Gámiz, Steven Gottlieb, U. M. Heller, R. D. Jain, J. Komijani, A. S. Kronfeld, John W Laiho, L. Levkova, Yuzhi Liu, P. B. Mackenzie, Y. Meurice & 7 others E. T. Neil, Si Wei Qiu, J. N. Simone, R. Sugar, D. Toussaint, R. S. Van De Water, Ran Zhou

Research output: Contribution to journalArticle

45 Citations (Scopus)

Abstract

We compute the form factors for the B→Kl+l- semileptonic decay process in lattice QCD using gauge-field ensembles with 2+1 flavors of sea quark, generated by the MILC Collaboration. The ensembles span lattice spacings from 0.12 to 0.045 fm and have multiple sea-quark masses to help control the chiral extrapolation. The asqtad improved staggered action is used for the light valence and sea quarks, and the clover action with the Fermilab interpretation is used for the heavy b quark. We present results for the form factors f+(q2), f0(q2), and fT(q2), where q2 is the momentum transfer, together with a comprehensive examination of systematic errors. Lattice QCD determines the form factors for a limited range of q2, and we use the model-independent z expansion to cover the whole kinematically allowed range. We present our final form-factor results as coefficients of the z expansion and the correlations between them, where the errors on the coefficients include statistical and all systematic uncertainties. We use this complete description of the form factors to test QCD predictions of the form factors at high and low q2.

Original languageEnglish (US)
Article number025026
JournalPhysical Review D
Volume93
Issue number2
DOIs
StatePublished - Jan 27 2016

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form factors
quantum chromodynamics
decay
quarks
expansion
coefficients
systematic errors
momentum transfer
extrapolation
examination
spacing
valence
predictions

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Bailey, J. A., Bazavov, A., Bernard, C., Bouchard, C. M., Detar, C., Du, D., ... Zhou, R. (2016). B →kl+l- decay form factors from three-flavor lattice QCD. Physical Review D, 93(2), [025026]. https://doi.org/10.1103/PhysRevD.93.025026

B →kl+l- decay form factors from three-flavor lattice QCD. / Bailey, Jon A.; Bazavov, A.; Bernard, C.; Bouchard, C. M.; Detar, C.; Du, Daping; El-Khadra, A. X.; Foley, J.; Freeland, E. D.; Gámiz, E.; Gottlieb, Steven; Heller, U. M.; Jain, R. D.; Komijani, J.; Kronfeld, A. S.; Laiho, John W; Levkova, L.; Liu, Yuzhi; Mackenzie, P. B.; Meurice, Y.; Neil, E. T.; Qiu, Si Wei; Simone, J. N.; Sugar, R.; Toussaint, D.; Van De Water, R. S.; Zhou, Ran.

In: Physical Review D, Vol. 93, No. 2, 025026, 27.01.2016.

Research output: Contribution to journalArticle

Bailey, JA, Bazavov, A, Bernard, C, Bouchard, CM, Detar, C, Du, D, El-Khadra, AX, Foley, J, Freeland, ED, Gámiz, E, Gottlieb, S, Heller, UM, Jain, RD, Komijani, J, Kronfeld, AS, Laiho, JW, Levkova, L, Liu, Y, Mackenzie, PB, Meurice, Y, Neil, ET, Qiu, SW, Simone, JN, Sugar, R, Toussaint, D, Van De Water, RS & Zhou, R 2016, 'B →kl+l- decay form factors from three-flavor lattice QCD', Physical Review D, vol. 93, no. 2, 025026. https://doi.org/10.1103/PhysRevD.93.025026
Bailey JA, Bazavov A, Bernard C, Bouchard CM, Detar C, Du D et al. B →kl+l- decay form factors from three-flavor lattice QCD. Physical Review D. 2016 Jan 27;93(2). 025026. https://doi.org/10.1103/PhysRevD.93.025026
Bailey, Jon A. ; Bazavov, A. ; Bernard, C. ; Bouchard, C. M. ; Detar, C. ; Du, Daping ; El-Khadra, A. X. ; Foley, J. ; Freeland, E. D. ; Gámiz, E. ; Gottlieb, Steven ; Heller, U. M. ; Jain, R. D. ; Komijani, J. ; Kronfeld, A. S. ; Laiho, John W ; Levkova, L. ; Liu, Yuzhi ; Mackenzie, P. B. ; Meurice, Y. ; Neil, E. T. ; Qiu, Si Wei ; Simone, J. N. ; Sugar, R. ; Toussaint, D. ; Van De Water, R. S. ; Zhou, Ran. / B →kl+l- decay form factors from three-flavor lattice QCD. In: Physical Review D. 2016 ; Vol. 93, No. 2.
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AU - Bailey, Jon A.

AU - Bazavov, A.

AU - Bernard, C.

AU - Bouchard, C. M.

AU - Detar, C.

AU - Du, Daping

AU - El-Khadra, A. X.

AU - Foley, J.

AU - Freeland, E. D.

AU - Gámiz, E.

AU - Gottlieb, Steven

AU - Heller, U. M.

AU - Jain, R. D.

AU - Komijani, J.

AU - Kronfeld, A. S.

AU - Laiho, John W

AU - Levkova, L.

AU - Liu, Yuzhi

AU - Mackenzie, P. B.

AU - Meurice, Y.

AU - Neil, E. T.

AU - Qiu, Si Wei

AU - Simone, J. N.

AU - Sugar, R.

AU - Toussaint, D.

AU - Van De Water, R. S.

AU - Zhou, Ran

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N2 - We compute the form factors for the B→Kl+l- semileptonic decay process in lattice QCD using gauge-field ensembles with 2+1 flavors of sea quark, generated by the MILC Collaboration. The ensembles span lattice spacings from 0.12 to 0.045 fm and have multiple sea-quark masses to help control the chiral extrapolation. The asqtad improved staggered action is used for the light valence and sea quarks, and the clover action with the Fermilab interpretation is used for the heavy b quark. We present results for the form factors f+(q2), f0(q2), and fT(q2), where q2 is the momentum transfer, together with a comprehensive examination of systematic errors. Lattice QCD determines the form factors for a limited range of q2, and we use the model-independent z expansion to cover the whole kinematically allowed range. We present our final form-factor results as coefficients of the z expansion and the correlations between them, where the errors on the coefficients include statistical and all systematic uncertainties. We use this complete description of the form factors to test QCD predictions of the form factors at high and low q2.

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