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Related papers: Off-shell two loop QCD vertices

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We evaluate the quartic ghost and quark Green's functions as well as the gluon-ghost, gluon-quark and ghost-quark 4-point functions of Quantum Chromodynamics at one loop at the fully symmetric point in a linear covariant gauge. Similar…

High Energy Physics - Phenomenology · Physics 2017-03-29 J. A. Gracey

We apply the solution to the recursion relation for the double-off-shell quark current to the problem of computing one loop amplitudes with an arbitrary number of gluons. We are able to compute amplitudes for photon-gluon scattering,…

High Energy Physics - Phenomenology · Physics 2009-10-22 Gregory Mahlon

We give, in the framework of the bosonic string theory, simple prescriptions for computing, at tree and one-loop levels, off-shell string amplitudes for open and closed string massless states. In particular we obtain a tree amplitude for…

High Energy Physics - Theory · Physics 2014-11-18 L. Cappiello , A. Liccardo , R. Pettorino , F. Pezzella , R. Marotta

We present a program to evaluate tree-level multi-gluon amplitudes with up to two of them off-shell. Furthermore, it evaluates squared amplitudes summed over colors and helicities for up to six external gluons. It employs both analytic…

High Energy Physics - Phenomenology · Physics 2015-06-18 M. Bury , A. van Hameren

The one loop vertex in QED is calculated in arbitrary covariant gauges as an analytic function of its momenta. The vertex is decomposed into a longitudinal part, that is fully responsible for ensuring the Ward and Ward-Takahashi identities…

High Energy Physics - Phenomenology · Physics 2011-08-11 A. Kizilersu , M. Reenders , M. R. Pennington

Employing functional approaches the infrared behaviour of Landau gauge QCD vertex functions is investigated. Results for the ghost-gluon, three-gluon and quark-gluon vertex functions are presented. As can be analytically shown a linear…

High Energy Physics - Phenomenology · Physics 2008-11-26 Reinhard Alkofer , Christian S. Fischer , Felipe J. Llanes-Estrada , Kai Schwenzer

We give explicit formulae for the O(eps) and O(eps^2) contributions to the unrenormalised three loop QCD corrections to quark and gluon form factors. These contributions have at most transcendentality weight eight. The O(eps) terms of the…

High Energy Physics - Phenomenology · Physics 2023-11-15 T. Gehrmann , E. W. N. Glover , T. Huber , N. Ikizlerli , C. Studerus

Important information about the infrared dynamics of QCD is encoded in the behavior of its (of-shell) Green's functions, most notably the gluon and the ghost propagators. Due to recent improvements in the quality of lattice data and the…

High Energy Physics - Phenomenology · Physics 2011-02-01 Daniele Binosi

In this work we study the meson vertex $D_sDK^*$ using the QCD sum rules. We compute the three point correlation functions for the three cases of different off-shell mesons. The form factors for each case are fitted to the numerical…

High Energy Physics - Phenomenology · Physics 2021-12-07 A. Cerqueira , B. Osório Rodrigues , M. E. Bracco , C. M. Zanetti

We investigate the soft behavior of QCD amplitudes involving multiple Wilson lines and derive compact analytic expressions for double soft gluon and double soft quark emissions at one loop. The color correlations of the soft current exhibit…

High Energy Physics - Phenomenology · Physics 2025-10-29 Yu Jiao Zhu

Pure glue QCD is formulated on a 2+1 dimensional transverse lattice, using discrete light-front quantization. The transverse component of the gauge fields is taken to be compact, but in a linearized approximation with an effective…

High Energy Physics - Phenomenology · Physics 2008-02-03 M. Burkardt , B. Klindworth

The vertex structure of QCD fixed in the maximal abelian gauge (MAG) and Curci-Ferrari gauge is analysed at two loops at the fully symmetric point for the 3-point functions corresponding to the three momentum subtraction (MOM)…

High Energy Physics - Theory · Physics 2016-01-20 J. M. Bell , J. A. Gracey

High-energy factorization of 2 -> 2 amplitudes in QCD has been recently pushed to the next-to-next-to-leading logarithmic order by determining the three-loop gluon Regge trajectory. This was based on computing multi-Reggeon exchanges using…

High Energy Physics - Phenomenology · Physics 2024-12-31 Samuel Abreu , Giuseppe De Laurentis , Giulio Falcioni , Einan Gardi , Calum Milloy , Leonardo Vernazza

We study the long distance interaction for hybrid hadrons, with a static gluon, a quark and an antiquark with lattice QCD techniques. A Wilson loop adequate to the static hybrid three-body system is developed and, using a 24^3 x 48 periodic…

High Energy Physics - Lattice · Physics 2008-11-26 P. Bicudo , M. Cardoso , O. Oliveira

Gauge invariant correlators in QCD are studied on the lattice.A Systematic determination of the correlation lengths for gluon field strength correlators and quark correlators is made.The measurement of the gluon and quark condensates is…

High Energy Physics - Lattice · Physics 2019-08-17 A. Di Giacomo , M. D'Elia , H. Panagopoulos , E. Meggiolaro

We compute the one loop corrections to the pole mass of the gluon in the MSbar scheme in the Landau gauge in both the Curci-Ferrari model and the local composite operator formalism with Nf flavours of massless quarks. For the latter we…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. E. Browne , J. A. Gracey

Solutions for the three-gluon and quark-gluon vertices from Dyson-Schwinger equations and the three-particle irreducible formalism are discussed. Dynamical quarks (``unquenching'') change the three-gluon vertex via the quark-triangle…

High Energy Physics - Phenomenology · Physics 2017-04-05 Adrian L. Blum , Reinhard Alkofer , Markus Q. Huber , Andreas Windisch

We estimate the potential energy for a system of three static gluons in Lattice QCD. This is relevant for the different models of three-body glueballs have been proposed in the literature, either for gluons with a constituent mass, or for…

High Energy Physics - Lattice · Physics 2008-12-04 M. Cardoso , P. Bicudo

Spontaneous breaking of chiral symmetry is investigated in the Hamiltonian approach to QCD in Coulomb gauge. The quark wave functional is determined by the variational principle using an ansatz which goes beyond the commonly used BCS-type…

High Energy Physics - Phenomenology · Physics 2015-05-28 Markus Pak , Hugo Reinhardt

Polygonal lines are used for the paths of the gluon field phase factors entering in the definition of gauge invariant quark Green's functions. This allows classification of the Green's functions according to the number of segments the…

High Energy Physics - Theory · Physics 2014-06-11 H. Sazdjian