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, and R. S. Van de Water (Fermilab Lattice and MILC Collaborations)

Phys. Rev. D 80, 034026 – Published 21 August 2009

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 $D \to π l ν$ and $D \to K l ν$ form factors, and an analyticity-based fit for the $B \to π l ν$ form factor $f_{+}$ .

Received 16 June 2009

DOI:https://doi.org/10.1103/PhysRevD.80.034026

Authors & Affiliations

C. Bernard¹, C. DeTar², M. Di Pierro³, A. X. El-Khadra⁴, R. T. Evans⁴, E. D. Freeland⁵, E. Gamiz⁴, Steven Gottlieb⁶, U. M. Heller⁷, J. E. Hetrick⁸, A. S. Kronfeld⁹, J. Laiho¹, L. Levkova², P. B. Mackenzie⁹, M. Okamoto⁹, M. B. Oktay², J. N. Simone⁹, R. Sugar¹⁰, D. Toussaint¹¹, and R. S. Van de Water¹² (Fermilab Lattice and MILC Collaborations)

¹Department of Physics, Washington University, St. Louis, Missouri, USA
²Physics Department, University of Utah, Salt Lake City, Utah, USA
³School of Computer Science, Telecommunications and Information Systems, DePaul University, Chicago, Illinois, USA
⁴Physics Department, University of Illinois, Urbana, Illinois, USA
⁵Liberal Arts Department, The School of the Art Institute of Chicago, Chicago, Illinois, USA
⁶Department of Physics, Indiana University, Bloomington, Indiana, USA
⁷American Physical Society, Ridge, New York, USA
⁸Physics Department, University of the Pacific, Stockton, California, USA
⁹Fermi National Accelerator Laboratory, Batavia, Illinois, USA
¹⁰Department of Physics, University of California, Santa Barbara, California, USA
¹¹Department of Physics, University of Arizona, Tucson, Arizona, USA
¹²Physics Department, Brookhaven National Laboratory, Upton, New York, USA

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Vol. 80, Iss. 3 — 1 August 2009

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Physical Review D

covering particles, fields, gravitation, and cosmology