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Title: Exact N3LO results for qq ' → H + X

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [1];  [1];  [2];  [3];  [1];  [4]
  1. Karlsruhe Inst. of Technology (KIT) (Germany). Inst. fur Theoretische Teilchenphysik
  2. Deutsches Elektronen-Synchrotron (DESY), Zeuthen (Germany)
  3. Brookhaven National Lab. (BNL), Upton, NY (United States). Dept. of Physics
  4. Nikhef Theory Group, Amsterdam (The Netherlands)

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. 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.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0012704
OSTI ID:
1354639
Report Number(s):
BNL-113782-2017-JA; KA2401012
Journal Information:
Journal of High Energy Physics (Online), Vol. 2015, Issue 7; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 19 works
Citation information provided by
Web of Science

References (73)

Feynman Diagrams and Differential Equations journal September 2007
Production of scalar and pseudo-scalar Higgs bosons to next-to-next-to-leading order at hadron colliders journal September 2011
Virtual corrections to gg→H to two loops in the heavy top limit journal October 2000
Master integrals with 2 and 3 massive propagators for the 2-loop electroweak form factor—planar case journal October 2004
Higgs boson gluon–fusion production at threshold in N 3 LO QCD journal October 2014
Four-loop decoupling relations for the strong coupling journal January 2006
 vs. pole masses of gauge bosons II: two-loop electroweak fermion corrections journal May 2003
Automatic Feynman Graph Generation journal April 1993
Gluon final states in Higgs-boson decay journal July 1980
Angular integrals in d dimensions journal August 2011
Higgs production in gluon fusion at next-to-next-to-leading order QCD for finite top mass journal February 2010
Single soft gluon emission at two loops journal November 2013
Multiloop Integrals in Dimensional Regularization Made Simple journal June 2013
Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC journal September 2012
NNLO corrections to the total cross section for Higgs boson production in hadron–hadron collisions journal August 2003
Higgs boson production at hadron colliders in NNLO QCD journal December 2002
Threshold resummation at N 3 LL accuracy and soft-virtual cross sections at N 3 LO journal November 2014
Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC journal September 2012
NLO electroweak corrections to Higgs boson production at hadron colliders journal December 2008
Higgs boson production at the LHC: NNLO partonic cross sections through order ϵ and convolutions with splitting functions to N3LO journal April 2013
Algorithms to evaluate multiple sums for loop computations journal March 2013
Scale dependence and collinear subtraction terms for Higgs production in gluon fusion at N3LO journal October 2013
Quark and Gluon Form Factors to Three Loops journal May 2009
Top mass effects in Higgs production at next-to-next-to-leading order QCD: Virtual corrections journal September 2009
Resummed Higgs cross section at N3LL journal September 2014
Virtual three-loop corrections to Higgs boson production in gluon fusion for finite top quark mass journal September 2009
HPL, a Mathematica implementation of the harmonic polylogarithms journal February 2006
Higgs production via gluon–gluon fusion with finite top mass beyond next-to-leading order journal September 2008
NNLO phase space master integrals for two-to-one inclusive cross sections in dimensional regularization journal November 2012
The 3-loop non-singlet heavy flavor contributions and anomalous dimensions for the structure function <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:msup><mml:mrow><mml:mi>Q</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">)</mml:mo></mml:math> and transversity journal September 2014
The O(αs3TF2) contributions to the gluonic operator matrix element journal August 2014
Updated Higgs cross section at approximate N 3 LO journal July 2014
Calculating massive 3-loop graphs for operator matrix elements by the method of hyperlogarithms journal August 2014
Mixed QCD-electroweak corrections to Higgs boson production in gluon fusion journal April 2009
Soft triple-real radiation for Higgs production at N3LO journal July 2013
Higgs production in gluon fusion beyond NNLO journal September 2013
Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation journal July 2013
Extension of HPL to complex arguments journal March 2012
Adequate bases of phase space master integrals for gg → h at NNLO and beyond journal September 2014
Iterated binomial sums and their associated iterated integrals journal November 2014
Finite top mass effects for hadronic Higgs production at next-to-next-to-leading order journal November 2009
Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass journal May 1999
Higgs boson production at the LHC journal October 1995
Higher-order soft corrections to lepton pair and Higgs boson production journal December 2005
Decays of Heavy Vector Mesons into Higgs Particles journal November 1977
Next-to-Next-to-Leading Order Higgs Production at Hadron Colliders journal May 2002
Harmonic Polylogarithms journal February 2000
New results for the ε-expansion of certain one-, two- and three-loop Feynman diagrams journal July 2001
The three-loop QCD β-function and anomalous dimensions journal April 1993
Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO journal February 2015
Radiative corrections to Higgs boson production journal August 1991
Multiple polylogarithms, cyclotomy and modular complexes journal January 1998
QCD decoupling at four loops journal June 2006
Is the mass of the Higgs boson about 10 GeV? journal May 1979
Single-scale diagrams and multiple binomial sums journal June 2000
Higgs Bosons from Two-Gluon Annihilation in Proton-Proton Collisions journal March 1978
Updated predictions for Higgs production at the Tevatron and the LHC journal April 2011
Higgs boson gluon-fusion production beyond threshold in N3LO QCD journal March 2015
On the calculation of soft phase space integral journal February 2015
Automatized analytic continuation of Mellin–Barnes integrals journal October 2006
Harmonic sums and polylogarithms generated by cyclotomic polynomials journal October 2011
Approximate N3LO Higgs-boson production cross section using physical-kernel constraints journal October 2014
Real-virtual contributions to the inclusive Higgs cross-section at N3LO journal December 2013
The gell-mann-low function of QCD in the three-loop approximation journal June 1980
FIRE5: A C++ implementation of Feynman Integral REduction journal April 2015
The four-loop cusp anomalous dimension in $ \mathcal{N} $ = 4 super Yang-Mills and analytic integration techniques for Wilson line integrals journal September 2013
Calculation of the quark and gluon form factors to three loops in QCD journal June 2010
Numerical evaluation of harmonic polylogarithms journal November 2001
The two-loop soft current in dimensional regularization journal December 2013
MT: A Mathematica package to compute convolutions journal February 2014
Higgs Boson Gluon-Fusion Production in QCD at Three Loops journal May 2015
Finite top quark mass effects in NNLO Higgs boson production at LHC journal February 2010
Local integrals for planar scattering amplitudes journal June 2012

Cited By (11)

High precision determination of the gluon fusion Higgs boson cross-section at the LHC text January 2016
CP-even scalar boson production via gluon fusion at the LHC journal September 2016
The five-loop beta function of Yang-Mills theory with fermions journal February 2017
Higgs boson production at hadron colliders at N3LO in QCD journal May 2018
CP-even scalar boson production via gluon fusion at the LHC text January 2016
CP-even scalar boson production via gluon fusion at the LHC text January 2016
High precision determination of the gluon fusion Higgs boson cross-section at the LHC text January 2016
The five-loop beta function of Yang-Mills theory with fermions text January 2017
Transforming differential equations of multi-loop Feynman integrals into canonical form journal April 2017
High precision determination of the gluon fusion Higgs boson cross-section at the LHC journal May 2016
Transforming differential equations of multi-loop Feynman integrals into canonical form text January 2016

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