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The soft radiation emitted in jet cross sections can resolve the directions and colors of individual hard partons, leading to a complicated pattern of logarithmically enhanced terms in the perturbative series. Starting from a factorization…

High Energy Physics - Phenomenology · Physics 2022-09-07 Thomas Becher , Thomas Rauh , Xiaofeng Xu

The low energy infrared scaling of the multi-color 2-dimensional quantum chromodynamics is determined in the framework of its bosonized model by using the functional renormalization group method with gliding sharp cut-off k in momentum…

High Energy Physics - Theory · Physics 2011-02-03 J. Kovacs , S. Nagy , I. Nandori , K. Sailer

We compute the fermionic contributions to the cusp anomalous dimension in QCD at four loops as an expansion for small cusp angle. As a byproduct we also obtain the respective terms of the four-loop HQET wave function anomalous dimension.…

High Energy Physics - Phenomenology · Physics 2019-06-26 Robin Brüser , Andrey Grozin , Johannes M. Henn , Maximilian Stahlhofen

We complete the computation of two-loop helicity amplitudes required to obtain next-to-next-to-leading order QCD corrections for three-jet production at hadron colliders, including all contributions beyond the leading-color approximation.…

High Energy Physics - Phenomenology · Physics 2024-05-15 Giuseppe De Laurentis , Harald Ita , Vasily Sotnikov

For the first time, we compute three-loop contributions to all triple vertices in QCD at the symmetric point. The analytic results are obtained in massless QCD with an arbitrary color group in the Landau gauge. All new loop integrals are…

High Energy Physics - Phenomenology · Physics 2020-04-15 Alexander Bednyakov , Andrey Pikelner

We present a high order perturbative computation of the renormalization constants Z_V, Z_A and of the ratio Z_P/Z_S for Wilson fermions. The computational setup is the one provided by the RI'-MOM scheme. Three- and four-loop expansions are…

High Energy Physics - Lattice · Physics 2008-11-26 F. Di Renzo , V. Miccio , L. Scorzato , C. Torrero

Renormalization factors for bilinear and four-quark operators with the Kogut-Susskind fermion action are perturbatively calculated to one-loop order in the general covariant gauge. Results are presented both for gauge invariant and…

High Energy Physics - Lattice · Physics 2009-10-22 N. Ishizuka , Y. Shizawa

The resummation of soft gluon exchange for QCD hard scattering requires a matrix of anomalous dimensions. We compute this matrix directly for arbitrary 2 to n massless processes for the first time at two loops. Using color generator…

High Energy Physics - Phenomenology · Physics 2009-04-06 S. Mert Aybat , Lance J. Dixon , George Sterman

Investigating quantum effects arising from high loops in perturbation theory is crucial for the physical applications of any quantum field theory. This paper presents a comprehensive analysis of the two-loop renormalization of CPT-even…

High Energy Physics - Theory · Physics 2024-01-30 L. C. T. Brito , J. C. C. Felipe , A. C. Lehum , A. Yu. Petrov

We consider the three-loop scattering amplitudes for the production of a pair of photons in quark-antiquark annihilation in Quantum Chromodynamics (QCD). We use suitably defined projectors to efficiently calculate all helicity amplitudes.…

High Energy Physics - Phenomenology · Physics 2021-03-24 Fabrizio Caola , Andreas von Manteuffel , Lorenzo Tancredi

We complete the generalisation of the BCFW recursion relation to the off-shell case, allowing for the computation of tree level scattering amplitudes for full High Energy Factorisation (HEF), i.e. with both incoming partons having a…

High Energy Physics - Phenomenology · Physics 2017-02-03 Andreas van Hameren , Krzysztof Kutak , Mirko Serino

We compute the one-loop QCD amplitudes for the decay of an off-shell vector boson with vector couplings into a quark-antiquark pair accompanied by two gluons keeping, for the first time, all orders in the number of colours. Together with…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. M. Campbell , E. W. N. Glover , D. J. Miller

Exact large-$N_{f}$ results for the QCD Adler $D$-function and Deep Inelastic Scattering sum rules are used to resum to all orders the portion of QCD perturbative coefficients containing the highest power of…

High Energy Physics - Phenomenology · Physics 2011-05-05 C. N. Lovett-Turner , C. J. Maxwell

We discuss the properties of the two- and three-flavor quark-meson diquark (QMD) model as a renormalizable low-energy effective model for color superconductivity in dense QCD. The effective degrees of freedom are scalars, pseudo-scalars,…

High Energy Physics - Phenomenology · Physics 2025-06-24 Jens O. Andersen , Mathias P. Nødtvedt

The renormalization of higher-dimensional operators in quantum field theory is essential for phenomenological analyses in particle physics, and plays a significant role in the study of critical phenomena. We present a framework for…

High Energy Physics - Phenomenology · Physics 2025-12-10 Guilherme Guedes , Jasper Roosmale Nepveu

We first review the method to calculate the spectral functions in the functional renormalization group (FRG) approach, which has been recently developed. We also provide the numerical stability conditions given by the present authors for a…

High Energy Physics - Phenomenology · Physics 2016-11-22 Takeru Yokota , Teiji Kunihiro , Kenji Morita

The goal of this message is to calculate radiative corrections to the Sommerfeld fine structure constant in the framework of a new QED in which particles are described by bilocal fields. The bare constant is 1/136 where 136 is a dimension…

Quantum Physics · Physics 2007-05-23 S. S. Sannikov , A. A. Stanislavsky

We calculate the four-top quark operator contributions to the two-loop renormalization constants of the fermion and gluon fields, necessary to obtain the renormalization group equations for the fermion masses and the strong coupling…

High Energy Physics - Phenomenology · Physics 2025-10-07 Stefano Di Noi , Ramona Gröber

We consider variants of dimensional regularization, including the four-dimensional helicity scheme (FDH) and dimensional reduction (DRED), and present the gluon and quark form factors in the FDH scheme at next-to-next-to-leading order. We…

High Energy Physics - Phenomenology · Physics 2014-05-14 Christoph Gnendiger , Adrian Signer , Dominik Stöckinger

We present the coefficient of the chromomagnetic interaction operator, the only unknown coefficient in the Heavy Quark Effective Theory (HQET) lagrangian up to the $1/m$ level, with the two-loop accuracy by matching scattering amplitudes of…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Czarnecki , A. G. Grozin
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