The Sudakov form factor to three loops in N=4 super Yang-Mills

2012/10/04 by Huber, Tobias
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1210.1339

Abstract

We review the results for the Sudakov form factor in N=4 super Yang-Mills theory up to the three-loop level. At each loop order, the form factor is expressed as a linear combination of only a handful scalar integrals, with small integer coefficients. Working in dimensional regularisation, the expansion coefficients of each integral exhibit homogeneous transcendentality in the Riemann zeta-function. We find that the logarithm of the form factor reproduces the correct values of the cusp and collinear anomalous dimensions. Moreover, the form factor in N=4 super Yang-Mills can be related to the leading transcendentality pieces of the QCD quark and gluon form factor. Finally, we comment briefly on the ultraviolet properties of the N=4 form factor in D>4 dimensions.

Related

• The planar two-loop four-point form factor in maximally supersymmetric Yang-Mills theory
• Subleading Color Corrections at Three Loops to the tr(ϕ²) Three-Point Form Factor in N = 4 Super Yang-Mills Theory
• On a four-loop form factor in N=4
• The Three-Point Form Factor of \textrmTr ϕ³ to Six Loops
• Exact off-shell Sudakov form factor in N=4 SYM