Factorization and Momentum-Space Resummation in Deep-Inelastic Scattering

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Renormalization-group methods in soft-collinear effective theory are used to perform the resummation of large perturbative logarithms for deep-inelastic scattering in the threshold region x {yields} 1. The factorization theorem for the structure function F{sub 2}(x,Q{sup 2}) for x {yields} 1 is rederived in the effective theory, whereby contributions from the hard scale Q{sup 2} and the jet scale Q{sup 2}(1 - x) are encoded in Wilson coefficients of effective-theory operators. Resummation is achieved by solving the evolution equations for these operators. Simple analytic results for the resummed expressions are obtained directly in momentum space, and are free of the Landau-pole ... continued below

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39 pages

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Becher, Thomas; /Fermilab; Neubert, Matthias; /Cornell U., CIHEP /Mainz U., Inst. Phys.; Pecjak, Ben D. & U., /Siegen July 1, 2006.

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Renormalization-group methods in soft-collinear effective theory are used to perform the resummation of large perturbative logarithms for deep-inelastic scattering in the threshold region x {yields} 1. The factorization theorem for the structure function F{sub 2}(x,Q{sup 2}) for x {yields} 1 is rederived in the effective theory, whereby contributions from the hard scale Q{sup 2} and the jet scale Q{sup 2}(1 - x) are encoded in Wilson coefficients of effective-theory operators. Resummation is achieved by solving the evolution equations for these operators. Simple analytic results for the resummed expressions are obtained directly in momentum space, and are free of the Landau-pole singularities inherent to the traditional moment-space results. We show analytically that the two methods are nonetheless equivalent order by order in the perturbative expansion, and perform a numerical comparison up to next-to-next-to-leading order in renormalization-group improved perturbation theory.

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39 pages

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  • Journal Name: JHEP 0701:076,2007; Journal Volume: 01

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  • Report No.: FERMILAB-PUB-06-242-T
  • Grant Number: AC02-07CH11359
  • Office of Scientific & Technical Information Report Number: 897071
  • Archival Resource Key: ark:/67531/metadc887451

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  • July 1, 2006

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  • Sept. 22, 2016, 2:13 a.m.

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  • Dec. 9, 2016, 4:22 p.m.

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Becher, Thomas; /Fermilab; Neubert, Matthias; /Cornell U., CIHEP /Mainz U., Inst. Phys.; Pecjak, Ben D. & U., /Siegen. Factorization and Momentum-Space Resummation in Deep-Inelastic Scattering, article, July 1, 2006; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc887451/: accessed October 24, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.