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 |
| _version_ | 1811218228114882560 |
|---|---|
| author | Michał Czakon Sebastian Sapeta |
| author_facet | Michał Czakon Sebastian Sapeta |
| author_sort | Michał Czakon |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T07:07:33Z |
| format | Article |
| id | doaj.art-bcfa73f3630e4c09b0164a9121ca91db |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T07:07:33Z |
| publishDate | 2022-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-bcfa73f3630e4c09b0164a9121ca91db2022-12-22T03:42:45ZengSpringerOpenJournal of High Energy Physics1029-84792022-07-012022713810.1007/JHEP07(2022)052Complete collection of one-loop triple-collinear splitting operators for dimensionally-regulated QCDMichał Czakon0Sebastian Sapeta1Institut für Theoretische Teilchenphysik und Kosmologie, RWTH Aachen UniversityInstitute of Nuclear Physics, Polish Academy of SciencesAbstract 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.https://doi.org/10.1007/JHEP07(2022)052Higher-Order Perturbative CalculationsSpecific QCD Phenomenology |
| spellingShingle | Michał Czakon Sebastian Sapeta Complete collection of one-loop triple-collinear splitting operators for dimensionally-regulated QCD Journal of High Energy Physics Higher-Order Perturbative Calculations Specific QCD Phenomenology |
| title | Complete collection of one-loop triple-collinear splitting operators for dimensionally-regulated QCD |
| title_full | Complete collection of one-loop triple-collinear splitting operators for dimensionally-regulated QCD |
| title_fullStr | Complete collection of one-loop triple-collinear splitting operators for dimensionally-regulated QCD |
| title_full_unstemmed | Complete collection of one-loop triple-collinear splitting operators for dimensionally-regulated QCD |
| title_short | Complete collection of one-loop triple-collinear splitting operators for dimensionally-regulated QCD |
| title_sort | complete collection of one loop triple collinear splitting operators for dimensionally regulated qcd |
| topic | Higher-Order Perturbative Calculations Specific QCD Phenomenology |
| url | https://doi.org/10.1007/JHEP07(2022)052 |
| work_keys_str_mv | AT michałczakon completecollectionofonelooptriplecollinearsplittingoperatorsfordimensionallyregulatedqcd AT sebastiansapeta completecollectionofonelooptriplecollinearsplittingoperatorsfordimensionallyregulatedqcd |