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We use on-shell recursion relations to determine the one-loop QCD scattering amplitudes with a massless external quark pair and an arbitrary number (n-2) of positive-helicity gluons. These amplitudes are the last of the unknown infrared-…

High Energy Physics - Phenomenology · Physics 2010-11-15 Zvi Bern , Lance J. Dixon , David A. Kosower

We discuss computational details of our recent result, namely, the first derivation of the two-loop gluon Regge trajectory within the framework of Lipatov's high energy effective action. In particular, we elaborate on the direct evaluation…

High Energy Physics - Phenomenology · Physics 2013-07-31 G. Chachamis , M. Hentschinski , J. D. Madrigal , A. Sabio Vera

In the framework of the effective field theory (EFT) we discuss the electroweak (EW) corrections at LEP energies. We obtain the effective Lagrangian in the large m_t limit, and reproduce analytically the dominant EW corrections to the LEP2…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. A. Akhundov , J. Bernabeu , D. Gomez Dumm , A. Santamaria

We have computed the five-loop corrections to the scale dependence of the renormalized coupling constant for Quantum Chromodynamics (QCD), its generalization to non-Abelian gauge theories with a simple compact Lie group, and for Quantum…

High Energy Physics - Phenomenology · Physics 2017-03-08 F. Herzog , B. Ruijl , T. Ueda , J. A. M. Vermaseren , A. Vogt

We study the self energies of all particles which appear in a lattice regularization of supersymmetric QCD (${\cal N}=1$). We compute, perturbatively to one-loop, the relevant two-point Green's functions using both the dimensional and the…

High Energy Physics - Lattice · Physics 2017-04-05 M. Costa , H. Panagopoulos

We perform the leading one-loop renormalization of the chiral Lagrangian for spinless matter fields living in the fundamental representation of SU(N). The Lagrangian can also be applied to any theory with a spontaneous symmetry breaking of…

High Energy Physics - Phenomenology · Physics 2016-12-21 Meng-Lin Du , Feng-Kun Guo , Ulf-G. Meißner

We calculate one-loop corrections to the effective Lagrangian for the D3 brane. We perform the gauge-fixing of the kappa-symmetric Born-Infeld D3 brane action in the flat background using Killing gauge. The linearized supersymmetry of the…

High Energy Physics - Theory · Physics 2009-10-31 Marina Shmakova

At small momentum transfer, the quark-gluon scattering cross section d{\sigma}/dt has a power-law divergence in the backward scattering region where the outgoing quark is nearly collinear to the incoming gluon. In this Regge limit |t|<< s,…

High Energy Physics - Phenomenology · Physics 2022-03-02 Arindam Bhattacharya , Aneesh V. Manohar , Matthew D. Schwartz

The rational parts of 5-gluon one-loop amplitudes are computed by using the newly developed method for computing the rational parts directly from Feynman integrals. We found complete agreement with the previously well-known results of Bern,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Xun Su , Zhi-Guang Xiao , Gang Yang , Chuan-Jie Zhu

We compute one-loop renormalization group equations for non-singlet twist-four operators in QCD. The calculation heavily relies on the light-cone gauge formalism in the momentum fraction space that essentially rephrases the analysis of all…

High Energy Physics - Phenomenology · Physics 2015-06-19 Yao Ji , A. V. Belitsky

We present an efficient way to calculate the effect of soft QCD radiation at one loop, which is needed for predictions at next-to-next-to-leading logarithmic accuracy. We use rapidity coordinates and isolate the divergences in the…

High Energy Physics - Phenomenology · Physics 2016-04-20 Tomas Kasemets , Wouter J. Waalewijn , Lisa Zeune

We investigate the derivation of reggeon transition vertices from Lipatov's gauge invariant effective action for high energy processes in QCD. In particular we address the question of longitudinal integrations in order to reduce the…

High Energy Physics - Phenomenology · Physics 2008-12-19 Martin Hentschinski

Perturbative QCD calculations in the light-cone gauge have long suffered from the ambiguity associated with the regularization of the poles in the gluon propagator. In this work we study sub-gauge conditions within the light-cone gauge…

High Energy Physics - Phenomenology · Physics 2016-01-27 Giovanni A. Chirilli , Yuri V. Kovchegov , Douglas E. Wertepny

We construct the Lagrangian for an effective theory of highly energetic quarks with energy Q, interacting with collinear and soft gluons. This theory has two low energy scales, the transverse momentum of the collinear particles, p_perp, and…

High Energy Physics - Phenomenology · Physics 2009-10-31 Christian W. Bauer , Sean Fleming , Dan Pirjol , Iain W. Stewart

The explicit one-loop renormalizability of the gluon sector of QCD with Lorentz violation is demonstrated. The result is consistent with multiplicative renormalization as the required counter terms are consistent with a single re-scaling of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Don Colladay , Patrick McDonald

The first order form of the Yang-Mills and Einstein-Hilbert actions are quantized, and it is shown how Green's functions computed using the first and the second order form of these theories are related. Next we show how by use of Lagrange…

High Energy Physics - Theory · Physics 2021-04-12 F. T. Brandt , J. Frenkel , S. Martins-Filho , D. G. C. McKeon

We describe the calculation of the three-loop QCD corrections to quark and gluon form factors. The relevant three-loop Feynman diagrams are evaluated and the resulting three-loop Feynman integrals are reduced to a small set of known master…

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

We compute the one-loop QCD amplitude for the process gg-->Q\bar{Q} in dimensional regularization through order \epsilon^2 in the dimensional regulator and for arbitrary quark mass values. This result is an ingredient of the NNLO…

High Energy Physics - Phenomenology · Physics 2008-12-30 Charalampos Anastasiou , S. Mert Aybat

Starting from the effective action of high energy QCD we derive Ward identities for Green's functions of reggeized gluons. They follow from the gauge invariance of the effective action, and allow to derive new representations of amplitudes…

High Energy Physics - Theory · Physics 2013-05-30 J. Bartels , L. N. Lipatov , G. P. Vacca

The proof of the multi-Regge form of multiple production amplitudes in the next-to-leading logarithmic approximation is presented for Yang-Mills theories with fermions and scalars in any representations of the colour group and with any…

High Energy Physics - Theory · Physics 2015-11-04 V. S. Fadin , M. G. Kozlov , A. V. Reznichenko
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