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We demonstrate that the use of analytical on-shell methods involving calculation of the discontinuity across the t-channel cut associated with the exchange of a pair of massless particles (photons or gravitons) can be used to evaluate…

High Energy Physics - Phenomenology · Physics 2016-12-21 Barry R. Holstein

Two-photon emission of an electron in an electromagnetic plane wave of vanishing frequency is calculated. The unpolarised probability is split into a two-step process, which is shown to be exactly equal to an integration over polarised…

High Energy Physics - Phenomenology · Physics 2015-09-15 B. King

Part of eikonal type contributions to $e\mu$ large-angle high-energy scattering cross section is considered in a quasi-elastic experimental set-up. Apart from virtual corrections we examine inelastic processes with emission of one and two…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. V. Bytev , E. A. Kuraev , B. G. Shaikhatdenov

Quantum higher-spin theory applied to Compton amplitudes has proven to be surprisingly useful for elucidating Kerr black hole dynamics. Here we apply the framework to compute scattering amplitudes and observables for a binary system of two…

High Energy Physics - Theory · Physics 2025-06-27 Lara Bohnenblust , Lucile Cangemi , Henrik Johansson , Paolo Pichini

Numerous non-classicality criteria based on the probabilities of experimental photocount or theoretical photon-number distributions are derived using several approaches. Relations among the derived criteria are revealed and the fundamental…

Quantum Physics · Physics 2020-12-02 Jan Perina , Vaclav Michalek , Ondrej Haderka

We present simple and accurate analytical formulae for the rates of Compton scattering by relativistic electrons integrated over the energy distribution of blackbody seed photons. Both anisotropic scattering, in which blackbody photons…

High Energy Astrophysical Phenomena · Physics 2015-06-16 Andrzej A. Zdziarski , Patryk Pjanka

We compute the charged pion loop contribution to the light-by-light scattering amplitude for off-shell photons in chiral perturbation theory through next-to-leading order (NLO). We show that NLO contributions are relatively more important…

High Energy Physics - Phenomenology · Physics 2013-05-30 Kevin T. Engel , Hiren H. Patel , Michael J. Ramsey-Musolf

We study the dynamics of electrically charged black-hole binaries and their gravitational-wave emission during the inspiral phase. Within the post-Newtonian framework, we derive the conservative and dissipative dynamics up to second order…

High Energy Physics - Theory · Physics 2026-03-19 Andrea Placidi , Elisa Grilli , Marta Orselli , Matteo Pegorin , Nicola Bartolo , Pierpaolo Mastrolia

For volume reflection process in a bent crystal, exact analytic expressions for positively- and negatively-charged particle trajectories are obtained within a model of parabolic continuous potential in each interplanar interval, with the…

Classical Physics · Physics 2016-11-25 M. V. Bondarenco

We present the analytical calculation of the contribution of order m_q^2 \alpha_s^4 n_f^2 to the absorptive part of the vacuum polarization function of vector currents. This term constitutes an important gauge-invariant part of the full…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. A. Baikov , K. G. Chetyrkin , J. H. Kühn

We analyze polarized Compton scattering which provides information on the spin-structure of the nucleon. For scattering processes with photon energies up to 100 MeV the spin-structure dependence can be encoded into four independent…

Nuclear Theory · Physics 2009-10-30 Thomas R. Hemmert , Barry R. Holstein , Joachim Kambor , Germar Knoechlein

We are employing a supersymmetric variant of the worldline quantum field theory (WQFT) formalism to compute the far-field momentum-space gravitational waveform emitted during the scattering of two spinning black holes at next-to-leading…

High Energy Physics - Theory · Physics 2025-06-06 Lara Bohnenblust , Harald Ita , Manfred Kraus , Johannes Schlenk

As recent work continues to demonstrate, the study of relativistic scattering processes leads to valuable insights and computational tools applicable to the relativistic bound-orbit two-body problem. This is particularly relevant in the…

General Relativity and Quantum Cosmology · Physics 2021-09-14 M. V. S. Saketh , Justin Vines , Jan Steinhoff , Alessandra Buonanno

Loop amplitudes for massless five particle scattering processes contain Feynman integrals depending on the external momentum invariants: pentagon functions. We perform a detailed study of the analyticity properties and cut structure of…

High Energy Physics - Phenomenology · Physics 2018-11-14 T. Gehrmann , J. M. Henn , N. A. Lo Presti

Photon-photon scattering at the Photon Linear Collider is considered. Explicit formulas for helicity amplitudes due to $W$ boson loops are presented. It is shown that photon-photon scattering should be easily observable at PLC and…

High Energy Physics - Phenomenology · Physics 2009-10-22 G. Jikia , A. Tkabladze

Leveraging the computational framework presented in reference [JHEP 07, 062 (2024)], we evaluate the analytic scattering waveform in General Relativity to second order, $G^3 M^3 /r b^2$ and to all orders in velocity. This new representation…

High Energy Physics - Theory · Physics 2025-11-10 Giacomo Brunello , Stefano De Angelis , David A. Kosower

We extract the long-range gravitational potential between two scalar particles with arbitrary masses from the two-to-two elastic scattering amplitude at 2nd Post-Minkowskian order in arbitrary dimensions. In contrast to the four-dimensional…

High Energy Physics - Theory · Physics 2020-08-26 Andrea Cristofoli , Poul H. Damgaard , Paolo Di Vecchia , Carlo Heissenberg

We provide the analytic waveform in time domain for the scattering of two Kerr black holes at leading order in the post-Minkowskian expansion and up to fourth order in both spins. The result is obtained by the generalization of the KMOC…

High Energy Physics - Theory · Physics 2024-08-12 Stefano De Angelis , Riccardo Gonzo , Pavel P. Novichkov

We have implemented a three-dimensional finite element approach, based on tricubic polynomials in spherical coordinates, which solves the Schrodinger equation for scattering of a low energy electron from a molecule, approximating the…

Chemical Physics · Physics 2009-11-10 Stefano Tonzani , Chris H. Greene

In this note we provide details of the proofs of the main results of our paper [19] to the standard model of non-relativistic quantum electrodynamics in which particles are minimally coupled to the quantized electromagnetic field at…

Mathematical Physics · Physics 2012-11-02 Jeremy Faupin , Israel Michael Sigal