Generalised power series expansions for the elliptic planar families of Higgs + jet production at two loops
Abstract We obtain generalised power series expansions for a family of planar two-loop master integrals relevant for the QCD corrections to Higgs + jet production, with phys- ical heavy-quark mass. This is achieved by defining differential equations along contours connecting two fixed points, and by...
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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)150 |
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| author | F. Moriello |
| author_facet | F. Moriello |
| author_sort | F. Moriello |
| collection | DOAJ |
| description | Abstract We obtain generalised power series expansions for a family of planar two-loop master integrals relevant for the QCD corrections to Higgs + jet production, with phys- ical heavy-quark mass. This is achieved by defining differential equations along contours connecting two fixed points, and by solving them in terms of one-dimensional generalised power series. The procedure is efficient, and can be repeated in order to reach any point of the kinematic regions. The analytic continuation of the series is straightforward, and we present new results below and above the physical thresholds. The method we use allows to compute the integrals in all kinematic regions with high precision. For example, per- forming a series expansion on a typical contour above the heavy-quark threshold takes on average O(1 second) per integral with worst relative error of O(10−32), on a single CPU core. After the series is found, the numerical evaluation of the integrals in any point of the contour is virtually instant. Our approach is general, and can be applied to Feynman integrals provided that a set of differential equations is available. |
| format | Article |
| id | doaj-art-3fe6ad16b4b14da8ad5efa582b66c024 |
| 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-3fe6ad16b4b14da8ad5efa582b66c0242025-02-09T12:05:50ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020113710.1007/JHEP01(2020)150Generalised power series expansions for the elliptic planar families of Higgs + jet production at two loopsF. Moriello0ETH Zurich, Institut fur theoretische PhysikAbstract We obtain generalised power series expansions for a family of planar two-loop master integrals relevant for the QCD corrections to Higgs + jet production, with phys- ical heavy-quark mass. This is achieved by defining differential equations along contours connecting two fixed points, and by solving them in terms of one-dimensional generalised power series. The procedure is efficient, and can be repeated in order to reach any point of the kinematic regions. The analytic continuation of the series is straightforward, and we present new results below and above the physical thresholds. The method we use allows to compute the integrals in all kinematic regions with high precision. For example, per- forming a series expansion on a typical contour above the heavy-quark threshold takes on average O(1 second) per integral with worst relative error of O(10−32), on a single CPU core. After the series is found, the numerical evaluation of the integrals in any point of the contour is virtually instant. Our approach is general, and can be applied to Feynman integrals provided that a set of differential equations is available.https://doi.org/10.1007/JHEP01(2020)150Higgs PhysicsPerturbative QCD |
| spellingShingle | F. Moriello Generalised power series expansions for the elliptic planar families of Higgs + jet production at two loops Journal of High Energy Physics Higgs Physics Perturbative QCD |
| title | Generalised power series expansions for the elliptic planar families of Higgs + jet production at two loops |
| title_full | Generalised power series expansions for the elliptic planar families of Higgs + jet production at two loops |
| title_fullStr | Generalised power series expansions for the elliptic planar families of Higgs + jet production at two loops |
| title_full_unstemmed | Generalised power series expansions for the elliptic planar families of Higgs + jet production at two loops |
| title_short | Generalised power series expansions for the elliptic planar families of Higgs + jet production at two loops |
| title_sort | generalised power series expansions for the elliptic planar families of higgs jet production at two loops |
| topic | Higgs Physics Perturbative QCD |
| url | https://doi.org/10.1007/JHEP01(2020)150 |
| work_keys_str_mv | AT fmoriello generalisedpowerseriesexpansionsfortheellipticplanarfamiliesofhiggsjetproductionattwoloops |