Automated Calculation of Dijet Soft Functions in Soft-Collinear Effective Theory

Abstract

We present a systematic framework for the calculation of dijet soft functions, which are defined as a matrix element of two light-like Wilson lines that is weighted by a generic measurement function. Based on a universal parametrisation of the phase-space integrals, we isolate the singular terms in Laplace space and evaluate the observable-dependent integrations numerically. We discuss the implementation of our algorithm into the public program SecDec, and present results for various SCET-1 soft functions to two-loop order. In particular, we obtain new predictions for the C-parameter and the angularity variables. Finally, we discuss ongoing extensions and the future outlook of the project.

12 pages, 2 figures; to appear in the proceedings of the 12th International Symposium on Radiative Corrections (Radcor 2015) and LoopFest XIV (Radiative Corrections for the LHC and Future Colliders), 15-19 June 2015, Los Angeles, USA

References in corpus (6)

• SecDec-3.0: numerical evaluation of multi-scale integrals beyond one loop
• SecDec: A general program for sector decomposition
• The Universal Transverse Momentum Dependent Soft Function at NNLO
• The N-jettiness soft function at next-to-next-to-leading order
• A general method for the resummation of event-shape distributions in e^+e^- annihilation
• Factorization and resummation for transverse thrust

Cited by in corpus (6)

• Two-loop anomalous dimensions of generic dijet soft functions
• Generic dijet soft functions at two-loop order: correlated emissions
• Two-Loop Beam and Soft Functions for Rapidity-Dependent Jet Vetoes
• Next-to-Next-to-Leading Order $N$-Jettiness Soft Function for One Massive Colored Particle Production at Hadron Colliders
• Accuracy and Precision in Collider Event Shapes
• One-loop Jet Functions by Geometric Subtraction