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Related papers: Quark mass dependence of the one-loop three-gluon …

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One-loop off-shell contributions to the three-gluon vertex are calculated, in arbitrary covariant gauge and in arbitrary space-time dimension, including quark-loop contributions (with massless quarks). It is shown how one can get the…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. I. Davydychev , P. Osland , O. V. Tarasov

One-loop off-shell contributions to the quark-gluon vertex are calculated, in an arbitrary covariant gauge and in arbitrary space-time dimension, including quark-mass effects. It is shown how one can get results for all on-shell limits of…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. I. Davydychev , P. Osland , L. Saks

Results on the one-loop quark-gluon vertex with massive quarks are reviewed, in an arbitrary covariant gauge and in arbitrary space-time dimension. We show how it is possible to get on-shell results from the general off-shell expressions.…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. I. Davydychev , P. Osland , L. Saks

We review the calculation of one-loop contributions to the three-gluon vertex, for arbitrary (off-shell) external momenta, in arbitrary covariant gauge and in arbitrary space-time dimension. We discuss how one can get the results for all…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. I. Davydychev , P. Osland , O. V. Tarasov

We determine the three-loop form factor parameterising the amplitude for the production of an off-shell Higgs boson in gluon fusion in QCD with a single massive quark. The result is obtained via a numerical solution of a system of…

High Energy Physics - Phenomenology · Physics 2020-06-04 M. Czakon , M. Niggetiedt

The two-loop three-gluon vertex is calculated in an arbitrary covariant gauge, in the limit when two of the gluons are on the mass shell. The corresponding two-loop results for the ghost-gluon vertex are also obtained. It is shown that the…

High Energy Physics - Phenomenology · Physics 2016-08-25 A. I. Davydychev , P. Osland

We present results for the relation between a heavy quark mass defined in the on-shell and $\bar{\rm MS}$ scheme to four-loop order. The method to compute the four-loop on-shell integral is briefly described and the new results are used to…

High Energy Physics - Phenomenology · Physics 2015-05-01 Peter Marquard , Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser

We calculate the complete one-loop off-shell three-point scalar-photon vertex in arbitrary gauge and dimension for Scalar Quantum Electrodynamics. Explicit results are presented for the particular cases of dimensions 3 and 4 both for…

High Energy Physics - Theory · Physics 2008-11-26 A. Bashir , Y. Concha-Sanchez , R. Delbourgo

We calculate the triple gluon, ghost-gluon and quark-gluon vertex functions at two loops in the MSbar scheme in the chiral limit for an arbitrary linear covariant gauge when the external legs are all off-shell.

High Energy Physics - Phenomenology · Physics 2014-07-16 J. A. Gracey

We calculate the HQET quark-gluon vertex at one loop, for arbitrary external momenta, in an arbitrary covariant gauge and space-time dimension. Relevant results and algorithms for the three-point HQET integrals are presented. We also show…

High Energy Physics - Phenomenology · Physics 2009-01-07 A. I. Davydychev , A. G. Grozin

We compute three-loop corrections to the Higgs-gluon form factor, incorporating the top quark mass dependence. Our method is based on the combination of expansions around the top threshold and for large top quark mass, using conformal…

High Energy Physics - Phenomenology · Physics 2020-09-18 Joshua Davies , Ramona Groeber , Andreas Maier , Thomas Rauh , Matthias Steinhauser

The relation between the on-shell quark mass and the mass defined in the modified minimal subtraction scheme is computed up to order \alpha_s^3. Implications for the numerical values of the top and bottom quark masses are discussed. We show…

High Energy Physics - Phenomenology · Physics 2010-04-06 K. G. Chetyrkin , M. Steinhauser

A comprehensive determination of the quark mass dependence in the dispersion relations of thermal excitations of gluons and quarks in non-Abelian gauge theory (QCD) is presented for the one-loop approximation in Feynman gauge. Larger values…

High Energy Physics - Phenomenology · Physics 2014-11-18 D. Seipt , M. Bluhm , B. Kampfer

The relation between the on-shell and $\bar{\rm MS}$ mass can be expressed through scalar and vector part of the quark propagator. In principle these two-point functions have to be evaluated on-shell which is a non-trivial task at…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. G. Chetyrkin , M. Steinhauser

The quark loop contribution to the reggeon-reggeon-gluon vertex is calculated in QCD, where the reggeon is the reggeized gluon. Compared with the vertex in the Born approximation, this contribution exhibits a new spin structure as well as…

High Energy Physics - Theory · Physics 2019-08-17 V. S. Fadin , R. Fiore , A. Quartarolo

A method to define and calculate one-loop amplitudes with an off-shell space-like, or $k_T$-dependent, gluon is presented. It introduces a practical regularization to deal with the divergencies that appear due to linear denominators, and…

High Energy Physics - Phenomenology · Physics 2022-02-01 A. van Hameren

In this work we compute the most general massive one-loop off-shell three-point vertex in D-dimensions, where the masses, external momenta, and exponents of propagators are arbitrary. This follows our previous paper in which we have…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. T. Suzuki , E. S. Santos , A. G. M. Schmidt

We compute the quark-gluon vertex in quenched lattice QCD, in the Landau gauge using an off-shell mean-field O(a)-improved fermion action. The complete vertex is computed in two specific kinematical limits, while the Dirac-vector part is…

High Energy Physics - Lattice · Physics 2010-03-04 Jon-Ivar Skullerud , Patrick O. Bowman , Ayse Kizilersu , Derek B. Leinweber , Anthony G. Williams

The standard Feynman rules used for perturbative calculations in quantum chromodynamics (QCD) are derived from a Lagrangian that is first-order in derivatives. It includes a three-point quark-gluon vertex which obscures the precise…

High Energy Physics - Phenomenology · Physics 2025-03-04 Victor Miguel Banda Guzmán , Adnan Bashir

The quark degrees of freedom of the QGP with special focus on mass effects are investigated. A next-to-leading-order perturbation theory approach with quark mass dependence is applied and compared to lattice QCD results.

High Energy Physics - Phenomenology · Physics 2017-05-24 Thorben Graf , Peter Petreczky
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