Extension of HPL to complex arguments

Maître, D.

doi:10.1016/j.cpc.2011.11.015

Cited by 134 publications

(134 citation statements)

References 62 publications

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“…The transcendental functions appearing in the results are one-and two-dimensional harmonic polylogarithms (HPLs) [107,108,[114][115][116][117][118][119][120][121][122][123] of maximum weight four. All of the HPLs appearing in the analytic expression of the coefficient A can be evaluated numerically with arbitrary precision by employing the methods and codes described in [120].…”

Section: Jhep01(2011)102mentioning

confidence: 99%

Two-loop leading color corrections to heavy-quark pair production in the gluon fusion channel

Bonciani

Ferroglia

Gehrmann

et al. 2011

J. High Energ. Phys.

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Abstract:We evaluate the two-loop QCD diagrams contributing to the leading color coefficient of the heavy-quark pair production cross section in the gluon fusion channel. We obtain an analytic expression, which is valid for any value of the Mandelstam invariants s and t and of the heavy-quark mass m. Our findings agree with previous analytic results in the small-mass limit and with recent results for the coefficients of the IR poles.

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Section: Jhep01(2011)102mentioning

confidence: 99%

Two-loop leading color corrections to heavy-quark pair production in the gluon fusion channel

Bonciani

Ferroglia

Gehrmann

et al. 2011

J. High Energ. Phys.

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“…[7]. For the manipulations involving harmonic polylogarithms [42] we have used our own software, as well as the program HPL [43,44]. All integral convolutions are computed numerically.…”

Section: Jhep12(2012)054mentioning

confidence: 99%

NNLO corrections to top-pair production at hadron colliders: the all-fermionic scattering channels

Czakon

Mitov

2012

J. High Energ. Phys.

446

351

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This is a second paper in our ongoing calculation of the next-to-next-to-leading order (NNLO) QCD correction to the total inclusive top-pair production cross-section at hadron colliders. In this paper we calculate the reaction qq → tt + qq which was not considered in our previous work on qq → tt + X [1] due to its phenomenologically negligible size. We also calculate all remaining fermion-pair-initiated partonic channels qq ′ , qq ′ and qq that contribute to top-pair production starting from NNLO. The contributions of these reactions to the total cross-section for top-pair production at the Tevatron and LHC are small, at the permil level. The most interesting feature of these reactions is their characteristic logarithmic rise in the high energy limit. We compute the constant term in the leading power behavior in this limit, and achieve precision that is an order of magnitude better than the precision of a recent theoretical prediction for this constant. All four partonic reactions computed in this paper are included in our numerical program Top++. The calculation of the NNLO corrections to the two remaining partonic reactions, qg → tt + X and gg → tt + X, is ongoing.

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“…For cross checks it also provides capability to compute convolutions numerically. It requires Mathematica version 6 or later and the HPL package [14,15]. Having installed MT properly as described in the provided README file, one can load it via…”

Section: Description Of Mtmentioning

confidence: 99%

MT: A Mathematica package to compute convolutions

Höschele

Hoff

Pak

et al. 2014

Computer Physics Communications

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We introduce the Mathematica package MT which can be used to compute, both analytically and numerically, convolutions involving harmonic polylogarithms, polynomials or generalized functions. As applications contributions to next-to-next-to-next-to leading order Higgs boson production and the Drell-Yan process are discussed. * Corresponding author MT can be used to compute such convolutions. Method of solution:MT is implemented in Mathematica and we provide several functions in order to perform transformations to Mellin space, manipulations of the expressions, and inverse Mellin transformations. Restrictions on the complexity of the problem:In case the weight of the input quantities is too high the tables for the (inverse) Mellin transforms have to be extended. In the current implementation the tables contain expressions up to weight eight, code for the generation of tables of even higher weight is provided, too.MT can only handle convolutions of expressions involving harmonic polylogarithms, plus distributions and polynomials in the partonic variable x. Typical running time:In general the run time for the individual operations is at most of the order of a few minutes (depending on the speed and memory of the computer).

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Extension of HPL to complex arguments

Cited by 134 publications

References 62 publications

Two-loop leading color corrections to heavy-quark pair production in the gluon fusion channel

Two-loop leading color corrections to heavy-quark pair production in the gluon fusion channel

NNLO corrections to top-pair production at hadron colliders: the all-fermionic scattering channels

MT: A Mathematica package to compute convolutions

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