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RESEARCH PRODUCT
Factorization and Momentum-Space Resummation in Deep-Inelastic Scattering
Matthias NeubertBen D. PecjakThomas Bechersubject
PhysicsNuclear and High Energy PhysicsParticle physics010308 nuclear & particles physicsScatteringFOS: Physical sciencesPosition and momentum spaceDeep inelastic scattering01 natural sciencesHigh Energy Physics - Phenomenologysymbols.namesakeHigh Energy Physics - Phenomenology (hep-ph)Factorization0103 physical sciencesWeierstrass factorization theoremsymbolsEffective field theoryPerturbation theory (quantum mechanics)Resummation010306 general physicsMathematical physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-07-20 |