One-loop MHV Rules and Pure Yang-Mills

Abstract

It has been known for some time that the standard MHV diagram formulation of perturbative Yang-Mills theory is incomplete, as it misses rational terms in one-loop scattering amplitudes of pure Yang-Mills. We propose that certain Lorentz violating counterterms, when expressed in the field variables which give rise to standard MHV vertices, produce precisely these missing terms. These counterterms appear when Yang-Mills is treated with a regulator, introduced by Thorn and collaborators, which arises in worldsheet formulations of Yang-Mills theory in the lightcone gauge. As an illustration of our proposal, we show that a simple one-loop, two-point counterterm is the generating function for the infinite sequence of one-loop, all-plus helicity amplitudes in pure Yang-Mills, in complete agreement with known expressions.

40 pages. v2: Minor corrections, references added. Published version

References in corpus (4)

• From Twistor Actions to MHV Diagrams
• Lectures on Twistor Strings and Perturbative Yang-Mills Theory
• A quantization of twistor Yang-Mills theory through the background field method
• Notes on One-loop Calculations in Light-cone Gauge

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• One-Loop Calculations with BlackHat
• One-loop N=8 Supergravity Amplitudes from MHV Diagrams
• Twistor-inspired construction of massive quark amplitudes
• Dimensional Regularization and Dimensional Reduction in the Light Cone
• MHV Lagrangians for Yang--Mills and QCD