Exact N$^3$LO results for $q q^\prime\to H +X$

Chihaya Anzai; Alexander Hasselhuhn; Maik Höschele; Jens Hoff; William Kilgore; Matthias Steinhauser; Takahiro Ueda

Exact N$^3$LO results for $q q^\prime\to H +X$

High Energy Physics - Phenomenology 2015-08-05 v2

Authors: Chihaya Anzai , Alexander Hasselhuhn , Maik Höschele , Jens Hoff , William Kilgore , Matthias Steinhauser , Takahiro Ueda

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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 additional letters in the alphabet.

Keywords

Higgs boson production N^3LO QCD corrections quark scattering master integrals canonical basis harmonic polylogarithms differential equations

Cite

@article{arxiv.1506.02674,
  title  = {Exact N$^3$LO results for $q q^\prime\to H +X$},
  author = {Chihaya Anzai and Alexander Hasselhuhn and Maik Höschele and Jens Hoff and William Kilgore and Matthias Steinhauser and Takahiro Ueda},
  journal= {arXiv preprint arXiv:1506.02674},
  year   = {2015}
}

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27 pages, v2: minor modifications, journal version

Exact N$^3$LO results for $q q^\prime\to H +X$

Abstract

Keywords

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