Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-07-20
JHEP 0701:076,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
39 pages, 9 figures
Scientific paper
10.1088/1126-6708/2007/01/076
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->1. The factorization theorem for the structure function F_2(x,Q^2) for x->1 is rederived in the effective theory, whereby contributions from the hard scale Q^2 and the jet scale Q^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.
Becher Thomas
Neubert Matthias
Pecjak Ben D.
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