Threshold resummation for double-deeply virtual Compton scattering

TL;DR

This paper develops a resummation formula for threshold logarithms in double-deeply virtual Compton scattering, providing a key theoretical tool and confirming recent two-loop calculations.

Contribution

It introduces a resummation approach for threshold logarithms in DDVCS and verifies the leading two-loop coefficient function against explicit calculations.

Findings

Resummation formula for flavor non-singlet threshold logarithms derived.

Agreement with recent two-loop coefficient function calculations.

Provides a cross-check for theoretical predictions in DDVCS.

Abstract

The threshold region for double-deeply virtual Compton scattering (DDVCS) is discussed. I derive a resummation formula for the (partonic) threshold logarithms in the flavor non-singlet case. The resummations can be done by using (re)factorization theorems for the coefficient functions near the partonic thresholds. As a byproduct, we obtain the leading term in the threshold limit of the two-loop coefficient function in double-deeply-virtual Compton scattering, which agrees with the recent result from explicit calculation, providing a highly non-trivial cross-check.