Evaluating a family of two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence
Abstract We present the analytic computation of a family of non-planar master integrals which contribute to the two-loop scattering amplitudes for Higgs plus one jet production, with full heavy-quark mass dependence. These are relevant for the NNLO corrections to inclusive Higgs production and for t...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)132 |
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| author | R. Bonciani V. Del Duca H. Frellesvig J.M. Henn M. Hidding L. Maestri F. Moriello G. Salvatori V.A. Smirnov |
| author_facet | R. Bonciani V. Del Duca H. Frellesvig J.M. Henn M. Hidding L. Maestri F. Moriello G. Salvatori V.A. Smirnov |
| author_sort | R. Bonciani |
| collection | DOAJ |
| description | Abstract We present the analytic computation of a family of non-planar master integrals which contribute to the two-loop scattering amplitudes for Higgs plus one jet production, with full heavy-quark mass dependence. These are relevant for the NNLO corrections to inclusive Higgs production and for the NLO corrections to Higgs production in association with a jet, in QCD. The computation of the integrals is performed with the method of differential equations. We provide a choice of basis for the polylogarithmic sectors, that puts the system of differential equations in canonical form. Solutions up to weight 2 are provided in terms of logarithms and dilogarithms, and 1-fold integral solutions are provided at weight 3 and 4. There are two elliptic sectors in the family, which are computed by solving their associated set of differential equations in terms of generalized power series. The resulting series may be truncated to obtain numerical results with high precision. The series solution renders the analytic continuation to the physical region straightforward. Moreover, we show how the series expansion method can be used to obtain accurate numerical results for all the master integrals of the family in all kinematic regions. |
| format | Article |
| id | doaj-art-08f6ba068253473997d37175492a43d9 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-08f6ba068253473997d37175492a43d92025-02-09T12:06:43ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020114710.1007/JHEP01(2020)132Evaluating a family of two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependenceR. Bonciani0V. Del Duca1H. Frellesvig2J.M. Henn3M. Hidding4L. Maestri5F. Moriello6G. Salvatori7V.A. Smirnov8Università “La Sapienza” di Roma, Dipartimento di FisicaETH Zurich, Institut fur theoretische PhysikDipartimento di Fisica e Astronomia, Università di PadovaMax-Planck-Institut für Physik, Werner-Heisenberg-InstitutHamilton Mathematics Institute, Trinity CollegeMax-Planck-Institut für Physik, Werner-Heisenberg-InstitutETH Zurich, Institut fur theoretische PhysikETH Zurich, Institut fur theoretische PhysikSkobeltsyn Institute of Nuclear Physics of Moscow State UniversityAbstract We present the analytic computation of a family of non-planar master integrals which contribute to the two-loop scattering amplitudes for Higgs plus one jet production, with full heavy-quark mass dependence. These are relevant for the NNLO corrections to inclusive Higgs production and for the NLO corrections to Higgs production in association with a jet, in QCD. The computation of the integrals is performed with the method of differential equations. We provide a choice of basis for the polylogarithmic sectors, that puts the system of differential equations in canonical form. Solutions up to weight 2 are provided in terms of logarithms and dilogarithms, and 1-fold integral solutions are provided at weight 3 and 4. There are two elliptic sectors in the family, which are computed by solving their associated set of differential equations in terms of generalized power series. The resulting series may be truncated to obtain numerical results with high precision. The series solution renders the analytic continuation to the physical region straightforward. Moreover, we show how the series expansion method can be used to obtain accurate numerical results for all the master integrals of the family in all kinematic regions.https://doi.org/10.1007/JHEP01(2020)132Higgs PhysicsPerturbative QCD |
| spellingShingle | R. Bonciani V. Del Duca H. Frellesvig J.M. Henn M. Hidding L. Maestri F. Moriello G. Salvatori V.A. Smirnov Evaluating a family of two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence Journal of High Energy Physics Higgs Physics Perturbative QCD |
| title | Evaluating a family of two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence |
| title_full | Evaluating a family of two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence |
| title_fullStr | Evaluating a family of two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence |
| title_full_unstemmed | Evaluating a family of two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence |
| title_short | Evaluating a family of two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence |
| title_sort | evaluating a family of two loop non planar master integrals for higgs jet production with full heavy quark mass dependence |
| topic | Higgs Physics Perturbative QCD |
| url | https://doi.org/10.1007/JHEP01(2020)132 |
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