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The relativistic scattering of spin-0 bosons by spherically symmetric Coulomb fields is analyzed in detail with an arbitrary mixing of vector and scalar couplings. It is shown that the partial wave series reduces the scattering amplitude to…

Nuclear Theory · Physics 2015-06-23 M. G. Garcia , A. S. de Castro

In the background of a Kerr-Newman black hole, the motion of a scalar particle is integrable by virtue of an extra conserved charge known as Carter charge. When the particle is endowed with spin, it is known that another conserved charge,…

High Energy Physics - Theory · Physics 2026-05-12 Sungsoo Kim , Sangmin Lee

In this review we present the most general form of the Janis--Newman algorithm. This extension allows to generate configurations which contain all bosonic fields with spin less than or equal to two (real and complex scalar fields, gauge…

General Relativity and Quantum Cosmology · Physics 2017-03-08 Harold Erbin

We develop a novel amplitude bootstrap technique manifestly free of unphysical poles for classically spinning particles interacting with gravitons utilizing only the double-copy and physical factorization limits. Combined with…

High Energy Physics - Theory · Physics 2024-04-29 N. Emil J. Bjerrum-Bohr , Gang Chen , Marcos Skowronek

We investigate the relativistic scattering of spinning black holes using modern amplitude methods within a heavy-mass effective field theory formalism at third post-Minkowskian order. Using a systematic self-force expansion up to first…

High Energy Physics - Theory · Physics 2026-03-05 N. Emil J. Bjerrum-Bohr , Gang Chen , Konstantinos Papadimos , Yuexiang Zhang

A perturbation method to analytically describe the dynamics of a classical spinning particle, based on the Mathisson-Papapetrou-Dixon (MPD) equations of motion, is presented. By a power series expansion with respect to the particle's spin…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dinesh Singh

Asymptotic behavior of the scattering amplitude for two scalar particles by scalar, vector and tensor exchanges at high energy and fixed momentum transfers is reconsidered in quantum field theory. In the framework of the quasi-potential…

High Energy Physics - Theory · Physics 2015-06-03 Nguyen Suan Han , Le Hai Yen , Nguyen Nhu Xuan

We consider the covariant proposal for the gravitational Compton amplitude for a Kerr black hole. Employing the covariant three- and four-point Compton amplitudes, we assemble the classical one-loop integrand on the maximal cut at all…

High Energy Physics - Theory · Physics 2024-12-30 Gang Chen , Tianheng Wang

Interactions of charmed and strange mesons with baryonic matter can be calculated in the nonrelativistic quark potential model. For KN scattering data exists, and the theoretical results for S-waves are in approximate agreement with…

High Energy Physics - Phenomenology · Physics 2008-11-26 Noel Black

In a recent note we presented a compact formula for the complete tree-level S-matrix of pure Yang-Mills and gravity theories in arbitrary spacetime dimension. In this paper we show that a natural formulation also exists for a massless…

High Energy Physics - Theory · Physics 2015-06-17 Freddy Cachazo , Song He , Ellis Ye Yuan

A simple position probability density formulation is presented for the motion of a particle in a spherically symmetric potential. The approach provides an alternative to Newtonian methods for presentation in an elementary course, and…

Physics Education · Physics 2007-05-23 Lorenzo J. Curtis , David G. Ellis

Using modern amplitude techniques we compute the leading classical and quantum corrections to the classical gravitational potential between two massive scalars induced by adding an $R^3$ term to Einstein gravity. We then study the…

High Energy Physics - Theory · Physics 2020-08-11 Andreas Brandhuber , Gabriele Travaglini

We explore a recently proposed effective field theory describing electromagnetically or gravitationally interacting massive particles in an expansion about their mass ratio, also known as the self-force (SF) expansion. By integrating out…

High Energy Physics - Theory · Physics 2024-10-04 Clifford Cheung , Julio Parra-Martinez , Ira Z. Rothstein , Nabha Shah , Jordan Wilson-Gerow

We investigate the Magnus expansion of the $N$-operator in relativistic quantum field theory, which is related to the $S$-matrix via $S = e^{iN}$. We develop direct methods to compute matrix elements of the $N$-operator, which we refer to…

High Energy Physics - Theory · Physics 2025-12-05 Andreas Brandhuber , Graham R. Brown , Paolo Pichini , Gabriele Travaglini , Pablo Vives Matasan

In {\em Phys.\ Lett.} {\bf B 660}, 583 (2008), it was proposed that the D-brane geometry could be produced by open string quantum effects. In an effort to verify the proposal, we consider scattering amplitudes involving {\em massive} open…

High Energy Physics - Theory · Physics 2011-08-02 I. Y. Park

We examine scattering amplitudes for an arbitrary number of photons in a class of non-null background electromagnetic fields, studying tree-level and one-loop amplitudes in scalar and spinor quantum-electrodynamics in backgrounds defined by…

High Energy Physics - Theory · Physics 2026-03-31 Patrick Copinger , James P. Edwards , Karthik Rajeev

Waveforms are classical observables associated with any radiative physical process. Using scattering amplitudes, these are usually computed in a weak-field regime to some finite order in the post-Newtonian or post-Minkowskian approximation.…

High Energy Physics - Theory · Physics 2023-07-19 Tim Adamo , Andrea Cristofoli , Anton Ilderton , Sonja Klisch

We introduce a novel point-particle effective description of ANO vortex solitons in the critical Abelian Higgs Model (AHM) in $d=2+1$ based on the small winding expansion. Identifying the effective vortices with the elementary quanta of a…

High Energy Physics - Theory · Physics 2024-03-05 Callum R. T. Jones

The high-energy quark-quark scattering amplitude is calculated first in the case of scalar QCD, using Fradkin's approach to derive the scalar quark propagator in an external gluon field and computing it in the eikonal approximation. The…

High Energy Physics - Theory · Physics 2007-05-23 Enrico Meggiolaro

The elastic scattering amplitude (ESA) is obtained in the one-loop approximation of the 2+1 dimensional quantum electrodynamics (QED$_{2+1}$) for planar charged fermions in an external constant magnetic field. We obtain the elastic…

High Energy Physics - Phenomenology · Physics 2020-01-08 V. R. Khalilov