Long-distance singularities in multi-leg scattering amplitudes
Long-distance singularities in multi-leg scattering amplitudes
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.
Claude Duhr、?yvind Almelid、Einan Gardi
物理学
Claude Duhr,?yvind Almelid,Einan Gardi.Long-distance singularities in multi-leg scattering amplitudes[EB/OL].(2016-06-17)[2025-08-18].https://arxiv.org/abs/1606.05697.点此复制
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