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We review different notions of cuts appearing throughout the literature on scattering amplitudes. Despite similar names, such as unitarity cuts or generalized cuts, they often represent distinct computations and distinct physics. We…

High Energy Physics - Theory · Physics 2025-01-09 Ruth Britto , Claude Duhr , Holmfridur S. Hannesdottir , Sebastian Mizera

I discuss the saturation regime of QCD: the weak-coupling regime that describes large parton densities inside hadrons and the resulting high-energy behavior of scattering amplitudes. I briefly review past successes in the context of deep…

High Energy Physics - Phenomenology · Physics 2007-05-23 Cyrille Marquet

The hard scatter from initial state hadrons to final state partons at LHC is reviewed with 2010 integrated luminosity. Plots showing certain quantities are shown as well as the powerful software tools for describing expectations.

High Energy Physics - Experiment · Physics 2012-03-01 Celso Martinez Rivero

Electron--proton scattering in elastic and highly inelastic region is reviewed in a unified approach. The importance of parity--violating scattering due to electro--weak interference in probing the structure of proton is emphasized. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Fayyazuddin

Model independent expressions for all polarization observables in $\mu+p\to \mu+p$ elastic scattering are obtained, taking into account the lepton mass and including the two-photon exchange contribution. The spin structure of the matrix…

Nuclear Theory · Physics 2015-05-20 G. I. Gakh , M. Konchatnyi , A. Dbeyssi , E. Tomasi-Gustafsson

We obtain the solution of the unitarity equation for the elastic processes in terms of the expansion coefficients of the amplitude as a function on the SO_mu(2.1) group. This approach is a generalization of the eikonal representation to the…

High Energy Physics - Phenomenology · Physics 2010-08-05 O. N. Soldatenko , A. N. Vall , A. A. Vladimirov

We relate scattering amplitudes in particle physics to maximum likelihood estimation for discrete models in algebraic statistics. The scattering potential plays the role of the log-likelihood function, and its critical points are solutions…

Algebraic Geometry · Mathematics 2021-12-15 Bernd Sturmfels , Simon Telen

Compton scattering results are used to probe proton structure via measurement of higher order polarizabilities. Values for $\alpha_{E2}^p,\beta_{E2}^p,\alpha_{E\nu}^p,$ $\beta_{E\nu}^p$ determined via dispersion relations are compared to…

High Energy Physics - Phenomenology · Physics 2016-09-06 Barry R. Holstein , D. Drechsel , B. Pasquini , M. Vanderhaeghen

We study scattering for the linear Helmholtz operator in two dimensions and develop a technique, which can be used to ascertain scattering of a given incident wave from very regular inhomogeneities. This technique is then applied to a…

Analysis of PDEs · Mathematics 2025-07-21 Narek Hovsepyan , Michael S. Vogelius

The following aspects of hadronic final states in deep inelastic lepton scattering are reviewed: measuring $alpha_s$ from multi-jet production rates and event shapes; alternative jet algorithms for DIS; power-suppressed corrections to event…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. R. Webber

Analysis of new experimental data obtained by the TOTEM and ATLAS Collaborations at the LHC together with old data obtained at the SPS and Tevatron colliders at small momentum transferin the framework of the high energy generalized…

High Energy Physics - Phenomenology · Physics 2024-11-26 O. V. Selyugin

In the last couple of years, the LHC has released precise measurements of elastic proton-proton scattering which has become an important guide in the search for selecting phenomenological models and theoretical approaches to understand, in…

High Energy Physics - Phenomenology · Physics 2019-08-06 Mateus Broilo

In this work, the transition matrix elements for inelastic electron--electron scattering are investigated. The angular part is given by spherical harmonics. For the weighted radial wave function overlap, analytic expressions are derived in…

Materials Science · Physics 2013-04-09 Stefan Löffler , Peter Schattschneider

We present the results of several parametrizations to two different ensemble of data on $pp$ total cross sections $\sigma_{tot}^{pp}$ at the highest center-of-mass energies (including cosmic-ray information). The results are statistically…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. F. Avila , E. G. S. Luna , M. J. Menon

An unified systematic of elastic (anti)proton-proton scattering data is proposed based on a simple expression for the process amplitude - f(q)=A[(\pi dq)/sh(\pi dq)][i J_1(Rq)/(Rq)+\rho J_0(Rq)]. The parameters R and d are obtained at a…

High Energy Physics - Phenomenology · Physics 2012-08-30 V. Uzhinsky , A. Galoyan

We consider the first LHC data for elastic pp scattering in the framework of Regge theory with multiple Pomeron exchanges. The simplest eikonal approach allows one to describe differential elastic cross sections at LHC, as well as pp and…

High Energy Physics - Phenomenology · Physics 2015-06-04 C. Merino , Yu. M. Shabelski

Elastic scattering of charged hadrons is described by the combination of nuclear and Coulomb amplitudes. It is well know that at the very forward range the nuclear real and Coulomb parts interplay a crucial role in the determination of the…

High Energy Physics - Phenomenology · Physics 2023-01-18 Anderson Kendi Kohara

The general spin structure of the matrix element, taking into account the two--photon exchange contribution, for the elastic electron (positron) --deuteron scattering has been derived using general symmetry properties of the hadron…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. I. Gakh , E. Tomasi-Gustafsson

The behavior of the hadron scattering amplitude determined by the gravitation interaction of hadron at high energies with impact of the KK-modes in d-brane models of gravity is examined. The possible periodic structure of the scattering…

High Energy Physics - Phenomenology · Physics 2015-05-28 O. V. Selyugin

This report discusses some results on differential cross sections for high energy and small momentum transfer elastic hadron-hadron scattering in QCD, using a functional integral approach. In particulary a matrix cumulant expansion for the…

High Energy Physics - Phenomenology · Physics 2016-09-06 E. R. Berger
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