The two-loop fully differential soft function for $$Q\overline{Q }V$$ production at lepton colliders
Abstract We consider the production of a pair of heavy quarks $$Q\overline{Q }$$ in association with a generic colour singlet system V at lepton colliders, and present the first analytic calculation of the two-loop soft function differential in the total momentum of the real radiation. The calculati...
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SpringerOpen
2025-03-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP03(2025)096 |
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| author | Ze Long Liu Pier Francesco Monni |
| author_facet | Ze Long Liu Pier Francesco Monni |
| author_sort | Ze Long Liu |
| collection | DOAJ |
| description | Abstract We consider the production of a pair of heavy quarks $$Q\overline{Q }$$ in association with a generic colour singlet system V at lepton colliders, and present the first analytic calculation of the two-loop soft function differential in the total momentum of the real radiation. The calculation is performed by reducing the relevant Feynman integrals into a canonical basis of master integrals by means of integration-by-parts identities. The resulting integrals are then evaluated by solving a system of differential equations in the kinematic invariants, whose boundary conditions are determined analytically with some care due to the presence of Coulomb singularities. The fully differential soft function is expressed in terms of Goncharov polylogarithms. This result is an essential ingredient for a range of N3LL resummations for key collider observables at lepton colliders, such as the $$Q\overline{Q }V$$ production cross section at threshold and observables sensitive to the total transverse momentum of the radiation in heavy-quark final states. Moreover, it constitutes the complete final-final dipole contribution to the fully differential soft function needed for the description of $$Q\overline{Q }V$$ production at hadron colliders, which plays an important role in the LHC physics programme. |
| format | Article |
| id | doaj-art-b5646268bc864a87bf79be7a13a4b340 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-b5646268bc864a87bf79be7a13a4b3402025-08-20T02:16:56ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025312110.1007/JHEP03(2025)096The two-loop fully differential soft function for $$Q\overline{Q }V$$ production at lepton collidersZe Long Liu0Pier Francesco Monni1Theoretical Physics Division, Institute of High Energy Physics, Chinese Academy of SciencesCERN, Theoretical Physics DepartmentAbstract We consider the production of a pair of heavy quarks $$Q\overline{Q }$$ in association with a generic colour singlet system V at lepton colliders, and present the first analytic calculation of the two-loop soft function differential in the total momentum of the real radiation. The calculation is performed by reducing the relevant Feynman integrals into a canonical basis of master integrals by means of integration-by-parts identities. The resulting integrals are then evaluated by solving a system of differential equations in the kinematic invariants, whose boundary conditions are determined analytically with some care due to the presence of Coulomb singularities. The fully differential soft function is expressed in terms of Goncharov polylogarithms. This result is an essential ingredient for a range of N3LL resummations for key collider observables at lepton colliders, such as the $$Q\overline{Q }V$$ production cross section at threshold and observables sensitive to the total transverse momentum of the radiation in heavy-quark final states. Moreover, it constitutes the complete final-final dipole contribution to the fully differential soft function needed for the description of $$Q\overline{Q }V$$ production at hadron colliders, which plays an important role in the LHC physics programme.https://doi.org/10.1007/JHEP03(2025)096FactorizationRenormalization GroupResummation |
| spellingShingle | Ze Long Liu Pier Francesco Monni The two-loop fully differential soft function for $$Q\overline{Q }V$$ production at lepton colliders Journal of High Energy Physics Factorization Renormalization Group Resummation |
| title | The two-loop fully differential soft function for $$Q\overline{Q }V$$ production at lepton colliders |
| title_full | The two-loop fully differential soft function for $$Q\overline{Q }V$$ production at lepton colliders |
| title_fullStr | The two-loop fully differential soft function for $$Q\overline{Q }V$$ production at lepton colliders |
| title_full_unstemmed | The two-loop fully differential soft function for $$Q\overline{Q }V$$ production at lepton colliders |
| title_short | The two-loop fully differential soft function for $$Q\overline{Q }V$$ production at lepton colliders |
| title_sort | two loop fully differential soft function for q overline q v production at lepton colliders |
| topic | Factorization Renormalization Group Resummation |
| url | https://doi.org/10.1007/JHEP03(2025)096 |
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