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Using scattering amplitudes, we obtain the potential contributions to conservative binary dynamics in general relativity at fourth post-Minkowskian order, ${\cal O}(G^4)$. As in previous lower-order calculations, we harness powerful tools…

High Energy Physics - Theory · Physics 2021-05-20 Zvi Bern , Julio Parra-Martinez , Radu Roiban , Michael S. Ruf , Chia-Hsien Shen , Mikhail P. Solon , Mao Zeng

In this work, the $\gamma Z$-exchange contributions in the low-energy elastic parity-violating $ep$ scattering are discussed with the approximation $m_e=0$. By expanding the $\gamma pp$ and $Zpp$ interactions on the momentum of photon and…

High Energy Physics - Phenomenology · Physics 2024-03-05 Qian-Qian Guo , Hai-Qing Zhou

We compute the scattering amplitude for classical black-hole scattering to third order in the Post-Minkowskian expansion, keeping all terms needed to derive the scattering angle to that order from the eikonal formalism. Our results confirm…

High Energy Physics - Theory · Physics 2021-08-20 N. E. J. Bjerrum-Bohr , P. H. Damgaard , L. Planté , P. Vanhove

We present a new class of evolution equations which govern the high-energy behavior of power-suppressed scattering amplitudes. The equations can be viewed as a renormalization group flow with respect to the relevant effective field theory…

High Energy Physics - Phenomenology · Physics 2025-10-10 Maximilian Delto , Alexander Penin , Lorenzo Tancredi

We shall discuss how some relevant analyticity and crossing-symmetry properties of the "eikonal scattering amplitudes" of two Wilson loops in QCD, when going from Euclidean to Minkowskian theory, can be related to the still unsolved problem…

High Energy Physics - Phenomenology · Physics 2007-09-11 E. Meggiolaro

The linear system of differential equations for determination of transmission and reflection amplytudes of scattered electron in the field of one dimensional arbitrary potential is obtained. It is shown that in general the scattering…

Disordered Systems and Neural Networks · Physics 2019-08-17 David M. Sedrakian , Ashot Zh. Khachatrian

Based on the classical limit of relativistic scattering amplitudes, we compute the coupling between a general super-renormalizable gravity and massive scalar particles. This allows us to derive the $D$-dimensional metric corrections at both…

High Energy Physics - Theory · Physics 2026-02-11 Haiyuan Feng , Rong-Jia Yang , Jinjun Zhang

A theory is developed for the evolution of the non-equilibrium distribution of quasiparticles when the scattering rate decreases due to particle collisions. We propose a "modified one-collision approximation" which is most effective for…

Disordered Systems and Neural Networks · Physics 2009-11-10 R. N. Gurzhi , A. I. Kopeliovich , A. N. Kalinenko , A. V. Yanovsky , E. N. Bogachek , Uzi Landman , H. Buhmann , L. W. Molenkamp

We study loop corrections to positivity bounds on effective field theories in the context of $2\to 2$ scattering in gravitational theories, in the presence of light particles. It has been observed that certain negative contributions at low…

High Energy Physics - Theory · Physics 2024-11-07 Simon Caron-Huot , Junsei Tokuda

The presence of long-range interactions violates a condition necessary to relate the energy of two particles in a finite volume to their S-matrix elements in the manner of Luscher. While in infinite volume, QED contributions to low-energy…

High Energy Physics - Lattice · Physics 2014-11-05 Silas R. Beane , Martin J. Savage

In this letter, we consider constraints on the low-energy spectrum of amplitudes with higher-spin exchange. Assuming unitarity, crossing symmetry, and super-convergent high energy behavior, reminiscent of the scattering of spin-1 and spin-2…

High Energy Physics - Theory · Physics 2025-10-10 Yu-tin Huang , Sara Ricossa , Francesco Riva , Jie-Da Tsai

These lectures treat scattering theory from a non-perturbative point of view. The course begins with a review of formal aspects in scattering theory, discussing the in/out states and the $S$ matrix that connects them. Unitarity relations,…

High Energy Physics - Phenomenology · Physics 2024-09-26 J. A. Oller

A scattering process with gravitons as an intermediate state is investigated. To study such a scattering, the Gravitoelectromagnetism theory is considered. It is a gravitational theory built on the analogy between gravity and…

High Energy Physics - Theory · Physics 2022-02-15 W. D. R. Jesus , P. R. A. Souza , A. F. Santos , Faqir C. Khanna

In any consistent massive quantum field theory there are well known bounds on scattering amplitudes at high energies. In conformal field theory there is no scattering amplitude, but the Mellin amplitude is a well defined object analogous to…

High Energy Physics - Theory · Physics 2020-03-18 Matthew Dodelson , Hirosi Ooguri

A new approach is proposed to describe the parity violation in the process of scattering of a polarized proton by a proton at high energies. It is shown that in the tree approximation the P-odd amplitude of proton-proton scattering is…

High Energy Physics - Phenomenology · Physics 2020-08-07 A. I. Milstein , N. N. Nikolaev , S. G. Salnikov

We combine tools from effective field theory and generalized unitarity to construct a map between on-shell scattering amplitudes and the classical potential for interacting spinless particles. For general relativity, we obtain analytic…

High Energy Physics - Theory · Physics 2019-01-31 Clifford Cheung , Ira Z. Rothstein , Mikhail P. Solon

Lattice QCD studies of hadron-hadron interactions are performed by computing the energy levels of the system in a finite box. The shifts in energy levels proportional to inverse powers of the volume are related to scattering parameters in a…

High Energy Physics - Lattice · Physics 2014-11-17 Paulo F. Bedaque , Ikuro Sato , Andre Walker-Loud

It is known that the high-energy quark-quark scattering amplitude can be described by the expectation value of two lightlike Wilson lines, running along the classical trajectories of the two colliding particles. Generalizing the results of…

High Energy Physics - Theory · Physics 2011-09-13 Enrico Meggiolaro

Recent reviews in ultrafast electron diffraction (UED) have claimed that relativistic electrons exhibit enhanced elastic scattering efficiency, frequently quantified as a \gamma^2 increase in the differential cross section. These claims,…

Accelerator Physics · Physics 2025-09-24 Grant Brassem , Christian Viernes , German Sciaini

Using a unified analytic representation for the elastic scattering amplitudes of pp scattering valid for all high energy region, the behavior of observables in the LHC collisions in the range $\sqrt{s}$ = 2.76 - 14 TeV is discussed.…

High Energy Physics - Phenomenology · Physics 2014-11-14 Erasmo Ferreira , Takeshi Kodama , Anderson Kendi Kohara