Visualization of semileptonic form factors from lattice QCD

Journal Article · Sat Aug 01 00:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.034026· OSTI ID:21322355

Bernard, C; Laiho, J ^[1]; DeTar, C; Levkova, L; Oktay, M B ^[2]; Di Pierro, M ^[3]; El-Khadra, A X; Evans, R T; Gamiz, E ^[4]; Freeland, E D ^[5]; Gottlieb, Steven ^[6]; Heller, U M ^[7]; Hetrick, J E ^[8]; Kronfeld, A S; Mackenzie, P B; Okamoto, M; Simone, J N ^[9]; Sugar, R ^[10]; Toussaint, D ^[11]; Van de Water, R S ^[12]

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

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}l{nu} and D{yields}Kl{nu} form factors, and an analyticity-based fit for the B{yields}{pi}l{nu} form factor f{sub +}.

• OSTI ID: 21322355
• Journal Information: Physical Review. D, Particles Fields, Vol. 80, Issue 3; Other Information: DOI: 10.1103/PhysRevD.80.034026; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
CORRELATIONS
EXTRAPOLATION
FORM FACTORS
LATTICE FIELD THEORY
PARTICLE PRODUCTION
QUANTUM CHROMODYNAMICS