Three-loop corrections to the soft anomalous dimension in multileg scattering
| Autor: | Claude Duhr, Einan Gardi, Øyvind Almelid |
|---|---|
| Přispěvatelé: | UCL - SST/IRMP - Institut de recherche en mathématique et physique |
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
High Energy Physics - Theory
Physics Wilson loop 010308 nuclear & particles physics hep-th General Physics and Astronomy FOS: Physical sciences hep-ph Parton 01 natural sciences Scattering amplitude Massless particle High Energy Physics - Phenomenology High Energy Physics - Phenomenology (hep-ph) Factorization High Energy Physics - Theory (hep-th) Quantum electrodynamics 0103 physical sciences Gravitational singularity Invariant (mathematics) 010306 general physics Constant (mathematics) Particle Physics - Phenomenology |
| Zdroj: | Physical Review Letters Almelid, Ø, Duhr, C & Gardi, E 2016, ' Three-loop corrections to the soft anomalous dimension in multi-leg scattering ', Physical Review Letters, vol. 117, no. 17, 172002 . https://doi.org/10.1103/PhysRevLett.117.172002 Physical Review Letters, Vol. 117, p. 172002 (2016) |
| ISSN: | 0550-3213 |
| Popis: | We present the three-loop result for the soft anomalous dimension governing long-distance singularities of multi-leg gauge-theory scattering amplitudes of massless partons. We compute all contributing webs involving semi-infinite Wilson lines at three loops and obtain the complete three-loop correction to the dipole formula. We find that non-dipole corrections appear already for three coloured partons, where the correction is a constant without kinematic dependence. Kinematic dependence appears only through conformally-invariant cross ratios for four coloured partons or more, and the result can be expressed in terms of single-valued harmonic polylogarithms of weight five. While the non-dipole three-loop term does not vanish in two-particle collinear limits, its contribution to the splitting amplitude anomalous dimension reduces to a constant, and it only depends on the colour charges of the collinear pair, thereby preserving strict collinear factorization properties. Finally we verify that our result is consistent with expectations from the Regge limit. Comment: v2: remaining diagrams computed; colour conservation accounted for; strict collinear factorization shown to hold. Some references added. 6 pages, 2 figures |
| Databáze: | OpenAIRE |
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