Visualization of semileptonic form factors from lattice QCD

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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 ... continued below

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6 pages

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Bernard, C.; DeTar, C.; Di Pierro, M.; El-Khadra, A. X.; Evans, R. T.; Freeland, E. D. et al. June 1, 2009.

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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 Becirevic-Kaidalov parametrization of the D {yields} {pi}{ell}{nu} and D {yields} K{ell}{nu} form factors, and a analyticity-based fit for the B {yields} {pi}{ell}{nu} form factor f{sub +}.

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6 pages

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  • Journal Name: Phys.Rev.D80:034026,2009

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  • Report No.: FERMILAB-PUB-09-305-T
  • Grant Number: AC02-07CH11359
  • Office of Scientific & Technical Information Report Number: 957567
  • Archival Resource Key: ark:/67531/metadc932032

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  • June 1, 2009

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  • Nov. 13, 2016, 7:26 p.m.

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  • July 25, 2017, 12:08 p.m.

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Bernard, C.; DeTar, C.; Di Pierro, M.; El-Khadra, A. X.; Evans, R. T.; Freeland, E. D. et al. Visualization of semileptonic form factors from lattice QCD, article, June 1, 2009; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc932032/: accessed April 25, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.