@inproceedings{828ac743c0394b4a95cdf951c9d0b908,

title = "Long-distance singularities in multi-leg scattering amplitudes",

abstract = "We report on the recent completion of the three-loop calculation of the soft anomalous dimension in massless gauge-theory scattering amplitudes. This brings the state-of-the-art knowledge of long-distance singularities in multi-leg QCD amplitudes with any number of massless particles to three loops. The result displays some novel features: this is the first time non-dipole corrections appear, which directly correlate the colour and kinematic degrees of freedom of four coloured partons. We find that non-dipole corrections appear at three loops also for three coloured partons, but these are independent of the kinematics. The final result is remarkably simple when expressed in terms of single-valued harmonic polylogarithms, and it satisfies several non-trivial constraints. In particular, it is consistent with the high-energy limit behaviour and it satisfies the expected factorization properties in two-particle collinear limits.",

author = "Einan Gardi and Oyvind Almelid and Claude Duhr",

year = "2016",

month = oct,

day = "20",

language = "English",

volume = "LL2016",

publisher = "PoS - Proceedings of Science",

booktitle = "Proceedings, 13th DESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory (LL2016) : Leipzig, Germany, April 24-29, 2016",

}