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The one-loop diffractive amplitude for emission of two real gluons with widely different rapidities is studied in the Lipatov effective action formalism. It is shown that after integration over longitudinal momenta in the loop the resulting…

High Energy Physics - Phenomenology · Physics 2010-02-11 M. A. Braun , M. Yu. Salykin , M. I. Vyazovsky

The derivative expansion of the one-loop effective Lagrangian in QED$_4$ is considered. The first term in such an expansion is the famous Schwinger result for a constant electromagnetic field. In this paper we give an explicit expression…

High Energy Physics - Phenomenology · Physics 2015-06-25 V. P. Gusynin , I. A. Shovkovy

Scattering amplitudes for the massless QCD process, $q\bar{q}\to q^\prime\bar{q}^\prime$, are calculated in the one-loop order in the Feynman-Diagram (FD) gauge, where gluons are quantized on the light cone with opposite direction of the…

High Energy Physics - Phenomenology · Physics 2024-07-17 Kaoru Hagiwara , Kentarou Mawatari , Youichi Yamada , Ya-Juan Zheng

We show that, in the light-cone gauge, it is possible to derive in a very simple way the solution of the classical Yang-Mills equations for the collision between a nucleus and a proton. One important step of the calculation is the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Francois Gelis , Yacine Mehtar-Tani

We detail the calculation of two-loop all-plus helicity amplitudes for pure Yang-Mills theory. The four dimensional unitarity methods and augmented recursion techniques we have developed, together with a knowledge of the singular structure…

High Energy Physics - Theory · Physics 2017-12-27 David C. Dunbar , John H. Godwin , Guy R. Jehu , Warren B. Perkins

I briefly review some general features and some recent developments concerning the resummation of long-distance singularities in QCD and in more general non-abelian gauge theories. I emphasize the field-theoretical tools of the trade, and…

High Energy Physics - Phenomenology · Physics 2009-11-13 Lorenzo Magnea

We present the results of the calculation of the one-loop correction to the effective vertex for the quark-antiquark pair production in collisions of the virtual photon with the Reggeized gluon. This vertex is supposed then to be used for…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Fadin , D. Ivanov , M. Kotsky

The masses and dispersions of light hadrons are calculated in lattice QCD using an order a^2 tadpole-improved gluon action and the Dchi34 action, an order a^2 tadpole-improved next-nearest-neighbor fermion action originally proposed by…

High Energy Physics - Lattice · Physics 2007-05-23 Derek B. Leinweber , Frank X. Lee

In the quest for an effective field theory which could help to understand some non perturbative feature of the QCD in the Regge limit, we consider a Reggeon Field Theory (RFT) for both Pomeron and Odderon interactions and perform an…

High Energy Physics - Theory · Physics 2017-04-05 Gian Paolo Vacca

Perturbation theory is an important tool to describe the properties of QCD at very high temperatures. Recently a new technique has been proposed to compute the one-loop effective action of QCD at finite temperature by making a gauge…

High Energy Physics - Phenomenology · Physics 2009-11-10 E. Megias

A new framework for a high energy limit of quantum gauge field theories is introduced. Its potency is illustrated on a new derivation of the reggeization of the gluon.

High Energy Physics - Theory · Physics 2009-10-30 Victor T. Kim , Grigorii B. Pivovarov

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

One method for deriving a factorization for QCD processes is to use successive integration over fields in the functional integral. In this approach, we separate the fields into two categories: dynamical fields with momenta above a relevant…

High Energy Physics - Phenomenology · Physics 2025-02-04 Ian Balitsky

We discuss aspects of our recent derivation of the gluon Regge trajectory at two loop from Lipatov's high energy effective action. We show how the gluon Regge trajectory can be rigorously defined through renormalization of the high energy…

High Energy Physics - Phenomenology · Physics 2015-06-16 G. Chachamis , M. Hentschinski , J. D. Madrigal , A. Sabio Vera

I present results for the resummation of soft and collinear gluon contributions to QCD hard-scattering cross sections at two loops. This requires the calculation of UV and IR divergences through two loops and the construction of soft…

High Energy Physics - Phenomenology · Physics 2010-11-19 Nikolaos Kidonakis

The equation for two reggeized gluons in the vacuum channel is generalized to take into account the running QCD coupling constant on the basis of the bootstrap condition for gluon reggeization. Both the gluon trajectory as a function of…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. A. Braun

We extend in an extremely simple and straightforward way the well-known low-energy theorem for an effective Higgs-like scalar-gluon-gluon coupling [1] (as well as a similar one for for the effective coupling of the Higgs-like field to the…

High Energy Physics - Phenomenology · Physics 2026-02-10 Konstantin G. Chetyrkin

The four-gluon one-particle irreducible Green function contributes to various quantities with phenomenological relevance. An example where the four-gluon plays a role is the determination of the gluon propagator, a basic building block for…

High Energy Physics - Lattice · Physics 2025-01-31 Manuel Colaço , Orlando Oliveira , Paulo J. Silva

We show that the correlation functions of ghosts and gluons for the pure Yang-Mills theory in Landau gauge can be accurately reproduced for all momenta by a one-loop calculation. The key point is to use a massive extension of the…

High Energy Physics - Phenomenology · Physics 2010-11-11 Matthieu Tissier , Nicolas Wschebor

One-loop matching of heavy-light currents is carried out for a highly improved lattice action, including the effects of dimension 4 O(1/M) and O(a) operators. We use the NRQCD action for heavy quarks, the Asqtad improved naive action for…

High Energy Physics - Lattice · Physics 2009-11-10 Emel Gulez , Junko Shigemitsu , Matthew Wingate