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T: Fachverband Teilchenphysik

T 22: Quantenfeldtheorie

T 22.1: Vortrag

Mittwoch, 29. Februar 2012, 16:45–17:00, VG 3.101

The three-loop form factor in N=4 super Yang-Mills theory — Thomas Gehrmann¹, Johannes Henn², and •Tobias Huber³ — ¹Universität Zürich, Schweiz — ²IAS Princeton, USA — ³Universität Siegen, Deutschland

We present the calculation of the Sudakov form factor in N=4 super Yang-Mills theory to the three-loop order. At leading colour, the latter is expressed in terms of planar and non-planar loop integrals. We show that it is possible to choose a representation in which each loop integral has uniform transcendentality in the Riemann ζ-function. We comment on the expected exponentiation of the infrared divergences and the values of the three-loop cusp and collinear anomalous dimensions in dimensional regularisation. We also compare the form factor in N=4 super Yang-Mills to the leading transcendentality pieces of the quark and gluon form factor in QCD. Finally, we investigate the ultraviolet properties of the form factor in D>4 dimensions.