Complete collection of one-loop triple-collinear splitting operators for dimensionally-regulated QCD
Abstract We provide results for the one-loop triple-collinear color/spin-space splitting operators for the five possible processes, q → qq ′ q ¯ ′ $$ {qq}^{\prime }{\overline{q}}^{\prime } $$ , q → qq q ¯ $$ qq\overline{q} $$ , q → qgg, g → gq q ¯ $$ gq\overline{q} $$ and g → ggg. The expressions ar...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-07-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2022)052 |
| Summary: | Abstract We provide results for the one-loop triple-collinear color/spin-space splitting operators for the five possible processes, q → qq ′ q ¯ ′ $$ {qq}^{\prime }{\overline{q}}^{\prime } $$ , q → qq q ¯ $$ qq\overline{q} $$ , q → qgg, g → gq q ¯ $$ gq\overline{q} $$ and g → ggg. The expressions are exact in dimensionally-regulated massless QCD up to a single integral, which we expand to second order in the dimensional-regularisation parameter. We also evaluate the related splitting functions. Our results are both sufficient and indispensable for the construction of subtraction and integrated-subtraction terms for triple-collinear singularities of one-loop double-real-emission cross-section contributions as part of a next-to-next-to-next-to leading order subtraction scheme. |
|---|---|
| ISSN: | 1029-8479 |