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Related papers: Progress towards 2 to 2 scattering at two-loops

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We analyze scattering in a system of two (distinguishable) particles moving on the half-line $\overline{\rz}_+$ under the influence of singular two-particle interactions. Most importantly, due to the spatial localization of the interactions…

Mathematical Physics · Physics 2018-11-14 Sebastian Egger , Joachim Kerner

With the increasing experimental precision available at colliders, higher-order perturbative calculations are required to reduce the theory uncertainty in order to extract crucial QCD parameters, such as the strong coupling constant, to the…

High Energy Physics - Phenomenology · Physics 2022-08-15 Marco Saragnese

A covariant path integral calculation of the even spin structure contribution to the one-loop N-graviton scattering amplitude in the type-II superstring theory is presented. The apparent divergence of the $N=5$ amplitude is resolved by…

High Energy Physics - Theory · Physics 2015-06-26 J. Lee Montag

A critical set of two-loop QED corrections to the $g$ factor of hydrogenlike ions is calculated without expansion in the nuclear binding field. These corrections are due to the polarization of the external magnetic field by the quantum…

Atomic Physics · Physics 2021-03-17 V. Debierre , B. Sikora , H. Cakir , N. S. Oreshkina , V. A. Yerokhin , C. H. Keitel , Z. Harman

Scattering amplitudes in $D$ dimensions involve particular terms that originate from the interplay of UV poles with the $D-4$ dimensional parts of loop numerators. Such contributions can be controlled through a finite set of…

High Energy Physics - Phenomenology · Physics 2020-10-28 Jean-Nicolas Lang , Stefano Pozzorini , Hantian Zhang , Max F. Zoller

We calculate at two-loop order the complex-valued scattering amplitude related to the twice-iterated scalar-isovector boson-exchange between nucleons. In comparison to the once-iterated boson-exchange amplitude it shows less dependence on…

Nuclear Theory · Physics 2009-11-11 N. Kaiser

Multi-loop calculations of the effective action for the matrix model are important for carrying out tests of the conjectured relationship of the matrix model to the low energy description of M-theory. In particular, comparison with…

High Energy Physics - Theory · Physics 2009-11-11 D. Grasso , I. N. McArthur

We develop a general formalism for computing classical observables for relativistic scattering of spinning particles, directly from on-shell amplitudes. We then apply this formalism to minimally coupled Einstein-gravity amplitudes for the…

High Energy Physics - Theory · Physics 2020-01-29 Ben Maybee , Donal O'Connell , Justin Vines

We present a set of scalar master integrals (MIs) needed for a complete treatment of massive two-loop corrections to Bhabha scattering in QED, including integrals with arbitrary fermionic loops. The status of analytical solutions for the…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Czakon , J. Gluza , T. Riemann

We present the calculation of the fermionic contribution to the QCD two-loop amplitude for e^+e^- --> q qbar g.

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Moch , P. Uwer , S. Weinzierl

By decoupling the geometric from the dynamical contributions in the scattering processes, we develop a method to compute the scattering matrix of electrons in a one-dimensional coherent conductor connected to two electrodes. In particular,…

Quantum Physics · Physics 2025-12-10 Lorenzo Bagnasacco , Fabio Taddei , Vittorio Giovannetti

We consider the case of a two-loop five-point pentagon-box integral configuration with one internal massive propagator that contributes to top-quark pair production in association with a jet at hadron colliders. We construct the system of…

High Energy Physics - Phenomenology · Physics 2023-03-31 Simon Badger , Matteo Becchetti , Ekta Chaubey , Robin Marzucca

Four of the six parameters defining the two-loop \pi\pi scattering amplitude have been determined using Roy dispersion relations. Combining this information with the Standard \chi PT expressions, we obtain the threshold parameters,…

High Energy Physics - Phenomenology · Physics 2016-09-06 L. Girlanda , M. Knecht , B. Moussallam , J. Stern

The high energy amplitudes of the large angles Moller scattering are calculated in frame of chiral basis in Born and 1-loop QED level. Taking into account as well the contribution from emission of soft real photons the compact relations…

High Energy Physics - Phenomenology · Physics 2015-06-03 A. I. Ahmadov , Yu. M. Bystritskiy , A. N. Ilyichev , E. A. Kuraev , V. A. Zykunov

The high-energy scattering amplitude of two colour-singlet quark-antiquark pairs is governed by the correlation function of two Wilson loops, which follow the classical straight lines for quark (antiquark) trajectories. This quantity is…

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

The high-energy factorization of gauge theory scattering amplitudes in terms of universal impact factors and a Reggeized exchange in the $t$-channel, corresponding to a Regge pole in the angular momentum plane, is know to conflict with the…

High Energy Physics - Phenomenology · Physics 2013-12-19 Vittorio Del Duca , Giulio Falcioni , Lorenzo Magnea , Leonardo Vernazza

Scattering processes are a fundamental way of experimentally probing distributions and properties of systems in several areas of physics. Considering two-body scattering at low energies, when the de Broglie wavelength is larger than the…

Quantum Physics · Physics 2023-08-01 Mathias Macêdo-Lima , Lucas Madeira

In this work, we express the singular part of a scattering amplitude in terms of Feynman integrals compatible with topologies appearing in the bare amplitude, and we choose a basis of locally finite Master Integrals. In two-loop massless…

High Energy Physics - Phenomenology · Physics 2025-12-18 Piotr Bargiela

We here use our non-perturbative, cluster decomposable relativistic scattering formalism to calculate photon-spinor scattering, including the related particle-antiparticle annihilation amplitude. We start from a three-body system in which…

High Energy Physics - Theory · Physics 2007-05-23 James Lindesay , H. Pierre Noyes

We report on the advances in the calculation of the two-loop scattering amplitudes for five-particle processes with one off-shell leg. Focusing on the production of a Higgs boson in association with a bottom quark pair, we outline how the…

High Energy Physics - Phenomenology · Physics 2023-03-01 Jakub Kryś