Exact N ^{3}LO results for qq ' → H + X
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 centerofmass energy. Here, 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.
 Authors:

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 Karlsruhe Inst. of Technology (KIT) (Germany). Inst. fur Theoretische Teilchenphysik
 Deutsches ElektronenSynchrotron (DESY), Zeuthen (Germany)
 Brookhaven National Lab. (BNL), Upton, NY (United States). Dept. of Physics
 Nikhef Theory Group, Amsterdam (The Netherlands)
 Publication Date:
 Report Number(s):
 BNL1137822017JA
Journal ID: ISSN 10298479; KA2401012
 Grant/Contract Number:
 SC0012704
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 7; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Brookhaven National Laboratory (BNL), Upton, NY (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; NLO; HET; SM; Higgs; quarks; boson; flavour; mass; polylogarithms; Higgs Physics; Effective field theories; QCD
 OSTI Identifier:
 1354639
Anzai, Chihaya, Hasselhuhn, Alexander, Höschele, Maik, Hoff, Jens, Kilgore, William, Steinhauser, Matthias, and Ueda, Takahiro. Exact N3LO results for qq ' → H + X. United States: N. p.,
Web. doi:10.1007/JHEP07(2015)140.
Anzai, Chihaya, Hasselhuhn, Alexander, Höschele, Maik, Hoff, Jens, Kilgore, William, Steinhauser, Matthias, & Ueda, Takahiro. Exact N3LO results for qq ' → H + X. United States. doi:10.1007/JHEP07(2015)140.
Anzai, Chihaya, Hasselhuhn, Alexander, Höschele, Maik, Hoff, Jens, Kilgore, William, Steinhauser, Matthias, and Ueda, Takahiro. 2015.
"Exact N3LO results for qq ' → H + X". United States.
doi:10.1007/JHEP07(2015)140. https://www.osti.gov/servlets/purl/1354639.
@article{osti_1354639,
title = {Exact N3LO results for qq ' → H + X},
author = {Anzai, Chihaya and Hasselhuhn, Alexander and Höschele, Maik and Hoff, Jens and Kilgore, William and Steinhauser, Matthias and Ueda, Takahiro},
abstractNote = {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 centerofmass energy. Here, 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.},
doi = {10.1007/JHEP07(2015)140},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2015,
place = {United States},
year = {2015},
month = {7}
}