Three-loop results for quark and gluon form-factors

By Sven-Olaf Moch, Jos Vermaseren, A. Vogt. 2005

232 citations recorded by the source corpus.

Abstract We study the photon–quark–quark and Higgs–gluon–gluon form factors for on-shell massless quarks and gluons in perturbative QCD. Previous third-order results for the quark case are extended by calculating the fermion-loop contributions up to the finite terms in dimensional regularization. For the gluon case the complete set of infrared poles at three loops is derived. Using the exponentiation of the form factor, the latter results are employed to extract a function entering the infrared factorization of general third-order amplitudes. We evaluate the infrared finite absolute ratio of the time-like and space-like gluon form factors up to the fourth order in the strong coupling constant. The result supports previous indications that the perturbative expansion of the Higgs boson production rate at the LHC is under control.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/71a05497fff8814a0277e76132828c3497fa39cd

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In Nuclear and High Energy Physics

Citations in the corpus

High precision determination of the gluon fusion Higgs boson cross-section at the LHC (2016, methodology): “The anomalous dimension γV can be extracted from the QCD form factor [64] and γg corresponds to the coefficient of δ(1−z) of the g → g splitting function [110].”
Factorization at the LHC: From parton distribution functions to initial state jets (2010, background): “Similarly, the anomalous dimension for Hgg can be extracted [40] from the gluon form factor, which has also been calculated to three loops [149].”
Introduction to Soft-Collinear Effective Theory (2014, background): “In particular, it agrees with the IR poles found in • the three-loop quark and gluon form factors [84], which determine γcusp(αs) as well as the functions γ(αs) for quarks and gluons up to three-loop order in the expansion in αs [70, 71], • the two-loop three-jet V → qqg amplitude [85,86], • the two”
Erratum: On the structure of infrared singularities of gauge-theory amplitudes (2009, background): “They can be extracted from the known IR divergences of the on-shell quark and gluon form factors, which have been calculated to three-loop order [26–28].”
Calculation of the quark and gluon form factors to three loops in QCD (2010, methodology): “While the cusp anomalous dimensions were first obtained to three loops from the asymptotic behaviour of splitting functions [29, 30], it is the calculation [31, 32 ] of the pole terms of the three-loop form factors (and finite plus subleading terms in the two-loop and one-loop form factors [33–37])”
N-jettiness subtractions for NNLO QCD calculations (2015, background): “This is because the threeloop anomalous dimensions of jet and beam functions, the PDFs, and the hard function are known [90–97], which also fixes the three-loop soft anomalous dimension.”
Higgs production with a central jet veto at NNLL+NNLO (2010, background): “The anomalous dimension coefficients for the hard Wilson coefficient to three loops are [59, 103, 104]”
Factorization at the LHC: From PDFs to Initial State Jets (Ph.D. thesis) (2009, unknown): “sless quark form factor which is known to three loops [148]. Similarly, the anomalous dimension for Hgg can be extracted [40] from the gluon form factor, which has also been calculated to three loops [149]. qq H0 = 12C F; qq H1 = 2C F h82 9 52 3 C A+ (3 4ˇ 2+ 48 3)C F+ 65 9 + ˇ 0 i ; qq H2 = 4C F ”