Visualization of semileptonic form factors from lattice QCD

C. Bernard; C. Detar; M. Di Pierro; A. X. El-Khadra; R. T. Evans; E. D. Freeland; E. Gamiz; Steven Gottlieb; U. M. Heller; J. E. Hetrick; A. S. Kronfeld; J. Laiho; L. Levkova; P. B. MacKenzie; M. Okamoto; M. B. Oktay; J. N. Simone; R. Sugar; D. Toussaint; R. S. Van De Water

doi:10.1103/PhysRevD.80.034026

Visualization of semileptonic form factors from lattice QCD

C. Bernard, C. Detar, M. Di Pierro, A. X. El-Khadra, R. T. Evans, E. D. Freeland, E. Gamiz, Steven Gottlieb, U. M. Heller, J. E. Hetrick, A. S. Kronfeld, J. Laiho, L. Levkova, P. B. MacKenzie, M. Okamoto, M. B. Oktay, J. N. Simone, R. Sugar, D. Toussaint, R. S. Van De Water

Research output: Contribution to journal › Article › peer-review

41 Scopus citations

Abstract

Comparisons of lattice-QCD calculations of semileptonic form factors with experimental measurements often display two sets of points, one each for lattice QCD and experiment. Here we propose to display the output of a lattice-QCD analysis as a curve and error band. This is justified, because lattice-QCD results rely in part on fitting, both for the chiral extrapolation and to extend lattice-QCD data over the full physically allowed kinematic domain. To display an error band, correlations in the fit parameters must be taken into account. For the statistical error, the correlation comes from the fit. To illustrate how to address correlations in the systematic errors, we use the Bećirević-Kaidalov parametrization of the D→πlν and D→Klν form factors, and an analyticity-based fit for the B→πlν form factor f+.

Original language	English (US)
Article number	034026
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	80
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevD.80.034026
State	Published - Aug 21 2009
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics
Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.80.034026

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Bernard, C., Detar, C., Di Pierro, M., El-Khadra, A. X., Evans, R. T., Freeland, E. D., Gamiz, E., Gottlieb, S., Heller, U. M., Hetrick, J. E., Kronfeld, A. S., Laiho, J., Levkova, L., MacKenzie, P. B., Okamoto, M., Oktay, M. B., Simone, J. N., Sugar, R., Toussaint, D., & Van De Water, R. S. (2009). Visualization of semileptonic form factors from lattice QCD. Physical Review D - Particles, Fields, Gravitation and Cosmology, 80(3), Article 034026. https://doi.org/10.1103/PhysRevD.80.034026

Bernard, C, Detar, C, Di Pierro, M, El-Khadra, AX, Evans, RT, Freeland, ED, Gamiz, E, Gottlieb, S, Heller, UM, Hetrick, JE, Kronfeld, AS, Laiho, J, Levkova, L, MacKenzie, PB, Okamoto, M, Oktay, MB, Simone, JN, Sugar, R, Toussaint, D & Van De Water, RS 2009, 'Visualization of semileptonic form factors from lattice QCD', Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 80, no. 3, 034026. https://doi.org/10.1103/PhysRevD.80.034026

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abstract = "Comparisons of lattice-QCD calculations of semileptonic form factors with experimental measurements often display two sets of points, one each for lattice QCD and experiment. Here we propose to display the output of a lattice-QCD analysis as a curve and error band. This is justified, because lattice-QCD results rely in part on fitting, both for the chiral extrapolation and to extend lattice-QCD data over the full physically allowed kinematic domain. To display an error band, correlations in the fit parameters must be taken into account. For the statistical error, the correlation comes from the fit. To illustrate how to address correlations in the systematic errors, we use the Be{\'c}irevi{\'c}-Kaidalov parametrization of the D→πlν and D→Klν form factors, and an analyticity-based fit for the B→πlν form factor f+.",

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AU - Freeland, E. D.

AU - Gamiz, E.

AU - Gottlieb, Steven

AU - Heller, U. M.

AU - Hetrick, J. E.

AU - Kronfeld, A. S.

AU - Laiho, J.

AU - Levkova, L.

AU - MacKenzie, P. B.

AU - Okamoto, M.

AU - Oktay, M. B.

AU - Simone, J. N.

AU - Sugar, R.

AU - Toussaint, D.

AU - Van De Water, R. S.

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N2 - Comparisons of lattice-QCD calculations of semileptonic form factors with experimental measurements often display two sets of points, one each for lattice QCD and experiment. Here we propose to display the output of a lattice-QCD analysis as a curve and error band. This is justified, because lattice-QCD results rely in part on fitting, both for the chiral extrapolation and to extend lattice-QCD data over the full physically allowed kinematic domain. To display an error band, correlations in the fit parameters must be taken into account. For the statistical error, the correlation comes from the fit. To illustrate how to address correlations in the systematic errors, we use the Bećirević-Kaidalov parametrization of the D→πlν and D→Klν form factors, and an analyticity-based fit for the B→πlν form factor f+.

AB - Comparisons of lattice-QCD calculations of semileptonic form factors with experimental measurements often display two sets of points, one each for lattice QCD and experiment. Here we propose to display the output of a lattice-QCD analysis as a curve and error band. This is justified, because lattice-QCD results rely in part on fitting, both for the chiral extrapolation and to extend lattice-QCD data over the full physically allowed kinematic domain. To display an error band, correlations in the fit parameters must be taken into account. For the statistical error, the correlation comes from the fit. To illustrate how to address correlations in the systematic errors, we use the Bećirević-Kaidalov parametrization of the D→πlν and D→Klν form factors, and an analyticity-based fit for the B→πlν form factor f+.

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Visualization of semileptonic form factors from lattice QCD

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