Di. 04.07.2017, Oberseminar Algebra
Thema: Computation of the supersymmetric cusp anomalous dimension to four-loop accuracy by means of a homogeneous integral basis. Referent: Dr. Tobias Huber (Universität Siegen), Raum: ENC-B 314, Zeit: 14:00 Uhr c.t.
Computation of the supersymmetric cusp anomalous dimension to four-loop accuracy by means of a homogeneous integral basis
Dienstag, 04.07.2017, 14:00 Uhr
c.t., Raum: ENC-B 314,
Referent: Dr. Tobias Huber (Universität Siegen)
The structure of infrared (soft and collinear) divergences
in quantum field theory is governed by a universal quantity,
the cusp anomalous dimension. Up to the third order in the
perturbative expansion, the supersymmetric version of this
quantity has a particularly simple structure in terms of the
invariants of the underlying gauge group. Starting at the
fourth (loop) order, new terms arise and there have been
numerous conjectures about the size of these new terms.
Recently we calculated the new terms at four-loop order
explicitly for the first time, and I will report on the result
of this calculation which was achieved by choosing a suitable
basis of loop integrals. I will also outline the algorithm
which we used to find this basis. Moreover, I will explain how
the supersymmetric cusp anomalous dimension is related to
realistic theories such as that of the strong interaction,
Quantum Chromodynamics (QCD).