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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

Recent progress in our understanding of infrared singularities of multi-parton amplitudes has shown that the simplest form of Regge factorization for high-energy gauge-theory amplitudes fails starting at next-to-next-to-leading logarithmic…

High Energy Physics - Phenomenology · Physics 2015-06-17 Vittorio Del Duca , Giulio Falcioni , Lorenzo Magnea , Leonardo Vernazza

We review recent progress on the calculation of scattering amplitudes in the high-energy limit. We start by illustrating the shockwave formalism, which allows one to calculate amplitudes as iterated solutions of rapidity evolution…

High Energy Physics - Phenomenology · Physics 2021-11-10 Leonardo Vernazza , Giulio Falcioni , Einan Gardi , Niamh Maher , Calum Milloy

On the basis of a new approach proposed in our previous work we develope a formalism for calculating of the effective action for some models containing fermion fields. This method allows us to calculate the fermionic part of the effective…

High Energy Physics - Theory · Physics 2015-06-26 B. A. Faizullaev , M. M. Musakhanov

We define an effective action for spin foam models of quantum gravity by adapting the background field method from quantum field theory. We show that the Regge action is the leading term in the semi-classical expansion of the spin foam…

General Relativity and Quantum Cosmology · Physics 2011-11-01 A. Mikovic , M. Vojinovic

We present a new approach to Reggeization of gauge amplitudes based on the universal properties of their infrared singularities. Using the "dipole formula", a compact ansatz for all infrared singularities of massless amplitudes, we study…

High Energy Physics - Phenomenology · Physics 2013-05-30 Vittorio Del Duca , Claude Duhr , Einan Gardi , Lorenzo Magnea , Chris D. White

We present a calculation of the next-to-leading order QCD corrections to the production of Higgs boson pairs in gluon fusion keeping the full dependence on the mass of the top quark. The virtual corrections, involving two-loop integrals…

High Energy Physics - Phenomenology · Physics 2016-11-10 Matthias Kerner

The $O(G^2_\mu m_t^4)$ correction to the $\rho$ parameter is computed within the Standard Model using the current algebra formulation of radiative corrections. This approach is proved to be equivalent to the effective Lagrangian method…

High Energy Physics - Phenomenology · Physics 2015-06-25 G. Degrassi , S. Fanchiotti , P. Gambino

We study the Hamiltonian truncation for the two-dimensional $\lambda\phi^4$ theory within the framework of Hamiltonian truncation effective theory, where truncation artifacts are mitigated through a systematic inclusion of corrective terms…

High Energy Physics - Phenomenology · Physics 2026-02-16 Andrea Maestri , Simone Rodini , Barbara Pasquini

We show how the resummation of large logarithms can be incorporated into the method of effective charges. As an example, we apply this approach to the event shape variables thrust and heavy jet mass in e+e- annihilation. We find that,…

High Energy Physics - Phenomenology · Physics 2010-04-05 M. J. Dinsdale , C. J. Maxwell

We calculate the two-loop matching corrections for the gauge couplings at the Grand Unification scale in a general framework that aims at making as few assumptions on the underlying Grand Unified Theory (GUT) as possible. In this paper we…

High Energy Physics - Phenomenology · Physics 2015-03-17 Waldemar Martens

We derive a compact all-loop-order expression for the IR-divergent part of the N=4 SYM four-gluon amplitude, which includes both planar and all subleading-color contributions, based on the assumption that the higher-loop soft anomalous…

High Energy Physics - Theory · Physics 2015-05-13 Stephen G. Naculich , Howard J. Schnitzer

We calculate the anomalous dimensions of the next-to-leading order dijet operators in soft-collinear effective theory (SCET). We use a formulation of SCET where the Lagrangian is multiple copies of QCD and the interactions between sectors…

High Energy Physics - Phenomenology · Physics 2014-12-10 Simon M. Freedman , Raymond Goerke

Previous work on soft-gluon resummation for direct photon production is extended to include additional subleading logarithmic terms through O(alpha alpha_s^3) and some representative comparisons are made to experimental results from the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Nikolaos Kidonakis , J. F. Owens

I discuss radiative corrections to the BFKL equation for high energy cross sections in perturbative QCD. Due to the gluon Reggeization in the next-to-leading $\ln s$ approximation, the form of the BFKL equation remains unchanged and the…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. S. Fadin

In cross sections with angular cuts, an intricate pattern of enhanced higher-order corrections known as non-global logarithms arises. The leading logarithmic terms were computed numerically two decades ago, but the resummation of subleading…

High Energy Physics - Phenomenology · Physics 2024-03-21 Thomas Becher , Nicolas Schalch , Xiaofeng Xu

We present a calculation of the rational terms in two-loop all-plus gluon amplitudes using $D$-dimensional unitarity. We use a conjecture of separability of the two loops, and then a simple generalization of one-loop $D$-dimensional…

High Energy Physics - Phenomenology · Physics 2022-06-30 David A. Kosower , Sebastian Pögel

After a brief review of the BFKL approach to Regge processes in QCD and in supersymmetric (SUSY) gauge theories we propose a strategy for calculating the next-to-next-to-leading order corrections to the BFKL kernel. They can be obtained in…

High Energy Physics - Theory · Physics 2009-09-02 J. Bartels , L. N. Lipatov , A. Sabio Vera

We compute, at two-loop order, one-particle-irreducible Green functions and effective action in noncommutative $\lambda[\Phi^3]_\star$-theory for both planar (g=0, h=3) and nonplanar (g=1, h=1) contributions. We adopt worldline formulation…

High Energy Physics - Theory · Physics 2010-04-05 Y. Kiem , S. -S. Kim , S. -J. Rey , H. -T. Sato

We study the properties of the leading Regge trajectory in open string theory including the open string planar one-loop corrections. With SU(N) Chan-Paton factors, the sum over planar open string multi-loop diagrams describes the 't Hooft…

High Energy Physics - Theory · Physics 2011-08-09 Francisco Rojas , Charles B. Thorn
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