Heavy-quark parton distribution functions and their uncertainties

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We investigate the uncertainties of the heavy-quark parton distribution functions in the variable avor number scheme. Because the charm- and bottom-quark parton distribution functions (PDFs) are constructed predominantly from the gluon PDF, it is a common practice to assume that the heavy-quark and gluon uncertainties are the same. We show that this approximation is a reasonable first guess, but it is better for bottom quarks than charm quarks. We calculate the PDF uncertainty for t-channel single-top-quark production using the Hessian matrix method, and predict a cross section of 2.12{sub -0.29}{sup +0.32} pb at run II of the Tevatron.

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239 Kilobytes pages

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Sullivan, Z. & Nadolsky, P. M. December 7, 2001.

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We investigate the uncertainties of the heavy-quark parton distribution functions in the variable avor number scheme. Because the charm- and bottom-quark parton distribution functions (PDFs) are constructed predominantly from the gluon PDF, it is a common practice to assume that the heavy-quark and gluon uncertainties are the same. We show that this approximation is a reasonable first guess, but it is better for bottom quarks than charm quarks. We calculate the PDF uncertainty for t-channel single-top-quark production using the Hessian matrix method, and predict a cross section of 2.12{sub -0.29}{sup +0.32} pb at run II of the Tevatron.

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239 Kilobytes pages

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  • Snowmass 2001: The Future of High Energy Physics, Snowmass, CO (US), 07/01/2001--07/20/2001

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  • Report No.: FERMILAB-Conf-01/329-T
  • Grant Number: AC02-76CH03000
  • Office of Scientific & Technical Information Report Number: 789366
  • Archival Resource Key: ark:/67531/metadc715712

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Office of Scientific & Technical Information Technical Reports

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  • December 7, 2001

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  • Sept. 29, 2015, 5:31 a.m.

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  • April 1, 2016, 4:06 p.m.

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Sullivan, Z. & Nadolsky, P. M. Heavy-quark parton distribution functions and their uncertainties, article, December 7, 2001; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc715712/: accessed October 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.