Threshold Resummation in Momentum Space from Effective Field Theory

Abstract

Methods from soft-collinear effective theory are used to perform the threshold resummation of Sudakov logarithms for the deep-inelastic structure function F_2(x,Q^2) in the endpoint region x->1 directly in momentum space. An explicit all-order formula is derived, which expresses the short-distance coefficient function C in the convolution F_2=C*phi_q in terms of Wilson coefficients and anomalous dimensions defined in the effective theory. Contributions associated with the physical scales Q^2 and Q^2(1-x) are separated from non-perturbative hadronic physics in a transparent way. A crucial ingredient to the momentum-space resummation is the exact solution to the integro-differential evolution equation of the jet function, which is derived. The methods developed in this Letter can be applied to many other hard QCD processes.

4 pages, 1 figure. Version to appear in PRL

References in corpus (1)

• Toward a NNLO calculation of the B-->X_s+gamma decay rate with a cut on photon energy: II. Two-loop result for the jet function

Cited by in corpus (11)

• Path integral approach to eikonal and next-to-eikonal exponentiation
• Origin of the Large Perturbative Corrections to Higgs Production at Hadron Colliders
• Resummation and NLO Matching of Event Shapes with Effective Field Theory
• Analysis of Br(B-->X_s gamma) at NNLO with a Cut on Photon Energy
• Effective Predictions of Event Shapes: Factorized, Resummed, and Gapped Angularity Distributions
• QCD Factorization for Deep-Inelastic Scattering At Large Bjorken $x_B\sim 1-\mathcal{O}({\Lambda }_{\mathrm{QCD}}/Q$
• Unparticle Physics with Jets
• Factorization and resummation for single color-octet scalar production at the LHC
• Nonperturbative Effect in Threshold Resummation
• Callan-Symanzik equations and low-energy theorems with trace anomalies
• All-order results for soft and collinear gluons