Two-loop planar master integrals for Higgs → 3 partons with full heavy-quark mass dependence
A bstract We present the analytic computation of all the planar master integrals which contribute to the two-loop scattering amplitudes for Higgs→ 3 partons, with full heavy-quark mass dependence. These are relevant for the NNLO corrections to fully inclusive Higgs production and to the NLO correcti...
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Published in | The journal of high energy physics Vol. 2016; no. 12; p. 1 |
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Main Authors | , , , , , |
Format | Journal Article |
Language | English |
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Berlin/Heidelberg
Springer Berlin Heidelberg
01.12.2016
Springer Nature B.V |
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Abstract | A
bstract
We present the analytic computation of all the planar master integrals which contribute to the two-loop scattering amplitudes for Higgs→ 3 partons, with full heavy-quark mass dependence. These are relevant for the NNLO corrections to fully inclusive Higgs production and to the NLO corrections to Higgs production in association with a jet, in the full theory. The computation is performed using the differential equations method. Whenever possible, a basis of master integrals that are pure functions of uniform weight is used. The result is expressed in terms of one-fold integrals of polylogarithms and elementary functions up to transcendental weight four. Two integral sectors are expressed in terms of elliptic integrals. We show that by introducing a one-dimensional parametrization of the integrals the relevant second order differential equation can be readily solved, and the solution can be expressed to all orders of the dimensional regularization parameter in terms of iterated integrals over elliptic kernels. We express the result for the elliptic sectors in terms of two and three-fold iterated integrals, which we find suitable for numerical evaluations. This is the first time that four-point multiscale Feynman integrals have been computed in a fully analytic way in terms of elliptic integrals. |
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AbstractList | Abstract We present the analytic computation of all the planar master integrals which contribute to the two-loop scattering amplitudes for Higgs[arrow right] 3 partons, with full heavy-quark mass dependence. These are relevant for the NNLO corrections to fully inclusive Higgs production and to the NLO corrections to Higgs production in association with a jet, in the full theory. The computation is performed using the differential equations method. Whenever possible, a basis of master integrals that are pure functions of uniform weight is used. The result is expressed in terms of one-fold integrals of polylogarithms and elementary functions up to transcendental weight four. Two integral sectors are expressed in terms of elliptic integrals. We show that by introducing a one-dimensional parametrization of the integrals the relevant second order differential equation can be readily solved, and the solution can be expressed to all orders of the dimensional regularization parameter in terms of iterated integrals over elliptic kernels. We express the result for the elliptic sectors in terms of two and three-fold iterated integrals, which we find suitable for numerical evaluations. This is the first time that four-point multiscale Feynman integrals have been computed in a fully analytic way in terms of elliptic integrals. A bstract We present the analytic computation of all the planar master integrals which contribute to the two-loop scattering amplitudes for Higgs→ 3 partons, with full heavy-quark mass dependence. These are relevant for the NNLO corrections to fully inclusive Higgs production and to the NLO corrections to Higgs production in association with a jet, in the full theory. The computation is performed using the differential equations method. Whenever possible, a basis of master integrals that are pure functions of uniform weight is used. The result is expressed in terms of one-fold integrals of polylogarithms and elementary functions up to transcendental weight four. Two integral sectors are expressed in terms of elliptic integrals. We show that by introducing a one-dimensional parametrization of the integrals the relevant second order differential equation can be readily solved, and the solution can be expressed to all orders of the dimensional regularization parameter in terms of iterated integrals over elliptic kernels. We express the result for the elliptic sectors in terms of two and three-fold iterated integrals, which we find suitable for numerical evaluations. This is the first time that four-point multiscale Feynman integrals have been computed in a fully analytic way in terms of elliptic integrals. |
ArticleNumber | 96 |
Author | Smirnov, Vladimir A. Bonciani, Roberto Moriello, Francesco Frellesvig, Hjalte Henn, Johannes M. Del Duca, Vittorio |
Author_xml | – sequence: 1 givenname: Roberto surname: Bonciani fullname: Bonciani, Roberto organization: Dipartimento di Fisica, Sapienza — Università di Roma, INFN Sezione di Roma – sequence: 2 givenname: Vittorio surname: Del Duca fullname: Del Duca, Vittorio organization: ETH Zurich, Institut fur theoretische Physik, INFN Laboratori Nazionali di Frascati – sequence: 3 givenname: Hjalte surname: Frellesvig fullname: Frellesvig, Hjalte organization: Institute of Nuclear and Particle Physics, NCSR Demokritos – sequence: 4 givenname: Johannes M. surname: Henn fullname: Henn, Johannes M. organization: PRISMA Cluster of Excellence, Johannes Gutenberg University – sequence: 5 givenname: Francesco surname: Moriello fullname: Moriello, Francesco email: fmoriell@phys.ethz.ch organization: Dipartimento di Fisica, Sapienza — Università di Roma, INFN Sezione di Roma, ETH Zurich, Institut fur theoretische Physik – sequence: 6 givenname: Vladimir A. surname: Smirnov fullname: Smirnov, Vladimir A. organization: Skobeltsyn Inst. of Nuclear Physics of Moscow State University |
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05 5220_CR69 A Azatov (5220_CR19) 2016; 09 5220_CR27 5220_CR28 AB Goncharov (5220_CR31) 2010; 105 D Graudenz (5220_CR1) 1993; 70 AV Kotikov (5220_CR20) 1991; B 254 RN Lee (5220_CR39) 2015; 04 M Søgaard (5220_CR93) 2015; D 91 |
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bstract
We present the analytic computation of all the planar master integrals which contribute to the two-loop scattering amplitudes for Higgs→ 3 partons,... Abstract We present the analytic computation of all the planar master integrals which contribute to the two-loop scattering amplitudes for Higgs[arrow right] 3... |
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SubjectTerms | Classical and Quantum Gravitation Elementary Particles High energy physics Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory |
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Title | Two-loop planar master integrals for Higgs → 3 partons with full heavy-quark mass dependence |
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