2015
DOI: 10.1007/jhep07(2015)140
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Exact N3LO results for qq′ → H + X

Abstract: We compute the contribution to the total cross section for the inclusive production of a Standard Model Higgs boson induced by two quarks with different flavour in the initial state. Our calculation is exact in the Higgs boson mass and the partonic center-of-mass energy. We describe the reduction to master integrals, the construction of a canonical basis, and the solution of the corresponding differential equations. Our analytic result contains both Harmonic Polylogarithms and iterated integrals with additiona… Show more

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Cited by 22 publications
(36 citation statements)
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References 142 publications
(148 reference statements)
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“…The calculation of these functions in dimensional regularization is a standard way to determine the splitting functions governing the scale dependence (evolution) of the perturbatively incalculable but process-independent parton and fragmentation distributions. The coefficient functions (partonic cross sections) for DIS and SIA, together with those for inclusive lepton-pair and Higgs-boson production in hadron collisions, facilitate studies of the analytic structure of QCD corrections at and beyond the next-to-next-to-leading order (NNLO) of the renormalization-group improved perturbative expansion [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16], an accuracy that is harder to achieve for less inclusive quantities.…”
Section: Introductionmentioning
confidence: 99%
“…The calculation of these functions in dimensional regularization is a standard way to determine the splitting functions governing the scale dependence (evolution) of the perturbatively incalculable but process-independent parton and fragmentation distributions. The coefficient functions (partonic cross sections) for DIS and SIA, together with those for inclusive lepton-pair and Higgs-boson production in hadron collisions, facilitate studies of the analytic structure of QCD corrections at and beyond the next-to-next-to-leading order (NNLO) of the renormalization-group improved perturbative expansion [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16], an accuracy that is harder to achieve for less inclusive quantities.…”
Section: Introductionmentioning
confidence: 99%
“…The N 3 LO contributions were only recently obtained in Refs. [19,20,22,41,42], while various parts of the N 3 LO calculation have been calculated independently [21,[43][44][45][46][47][48][49][50][51][52][53][54][55][56]. Approximate N 3 LO results were presented in Refs.…”
Section: The Program Sushimentioning
confidence: 99%
“…This correspondence makes it possible to apply methods for loop calculations to the problem, such as integration by parts relations, or more precisely the reduction to master integrals. Details to the IBP reduction are given in [31].…”
Section: An Exact Computation Of the Qq -Channelmentioning
confidence: 99%
“…The integration constants are fixed from direct computations of the master integrals in the limit x → 1. For the computation of these boundary values we refer to [31].…”
Section: An Exact Computation Of the Qq -Channelmentioning
confidence: 99%