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Considering two-body integral equations we show how they can be dimensionally reduced by integrating exactly over the azimuthal angle of the intermediate momentum. Numerical solution of the resulting equation is feasible without employing a…

Nuclear Theory · Physics 2016-09-08 George Caia , Vladimir Pascalutsa , Louis E. Wright

Radiative corrections to high energy scattering processes were given previously in terms of universal soft and collinear functions. This paper gives the collinear functions for all standard model particles, the general form of the soft…

High Energy Physics - Phenomenology · Physics 2010-04-06 Jui-yu Chiu , Andreas Fuhrer , Randall Kelley , Aneesh V. Manohar

We give analytic expressions for the gravitational inner spherical multipole moments, q_{lm} with l <= 5, for 11 elementary solid shapes. These moments, in conjunction with their known rotational and translational properties, can be used to…

General Relativity and Quantum Cosmology · Physics 2010-11-05 E. G. Adelberger , Nathan A. Collins , C. D. Hoyle

We calculate the contribution of the two photon production process into $e^+e^-$ spectra, and compare the results with experimental data from the PHENIX detector at RHIC. We study the contribution given by ``semi-coherent" kinematics, in…

Nuclear Theory · Physics 2010-05-20 Pilar Staig , Edward Shuryak

An eikonal expansion is used to provide systematic corrections to the eikonal approximation through order $1/k^2$, where $k$ is the wave number. Electron wave functions are obtained for the Dirac equation with a Coulomb potential. They are…

Nuclear Theory · Physics 2015-05-13 J. A. Tjon , S. J. Wallace

We present a method to calculate the soft function in Soft-Collinear Effective Theory to NLO for N-jet events, defined with respect to arbitrarily complicated observables and algorithms, using a subtraction-based method. We show that at one…

High Energy Physics - Phenomenology · Physics 2011-02-25 Christian W. Bauer , Nicholas Daniel Dunn , Andrew Hornig

A program for molecular calculations with B functions is reported and its performance is analyzed. All the one- and two-center integrals, and the three-center nuclear attraction integrals are computed by direct procedures, using previously…

Chemical Physics · Physics 2016-02-19 E. O. Steinborn , H. H. H. Homeier , I. Ema , R. Lopez , G. Ramirez

I present generalized formulas for approximate corrections to QCD hard-scattering cross sections through second order in the perturbative expansion. The approximate results are based on recent two-loop calculations for soft and collinear…

High Energy Physics - Phenomenology · Physics 2011-09-09 Nikolaos Kidonakis

We consider a four-point process, associated with a wide-angle elastic scattering of two off-mass-shell spin-1/2 matter particles, in a non-abelian gauge theory. On the basis of a worldline approach, which reverts the functional to a…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. I. Karanikas , C. N. Ktorides , N. G. Stefanis , S. M. H. Wong

We propose a semi-microscopic model for the simultaneous emission of two protons. This model has the advantage of avoiding certain technical aspects of a fully microscopic 3-body framework, while also allowing the investigation of the…

Nuclear Theory · Physics 2022-09-21 S. A. Ghinescu , D. S. Delion

A formalism for the numerical integration of one- and two-loop integrals is presented. It is based on subtraction terms which remove the soft, collinear and some of the ultraviolet divergences from the integrand. The numerical integral is…

High Energy Physics - Phenomenology · Physics 2012-10-08 A. Freitas

We obtain analytic results for integrated triple-collinear splitting functions that emerge as collinear counter-terms in the context of the nested soft-collinear subtraction scheme arXiv:1702.01352 . With these results, all integrated…

High Energy Physics - Phenomenology · Physics 2019-08-19 Maximilian Delto , Kirill Melnikov

In this second part of the treatment of instantons in quantum mechanics, the focus is on specific calculations related to a number of quantum mechanical potentials with degenerate minima. We calculate the leading multi-instanton…

Quantum Physics · Physics 2013-09-10 Jean Zinn-Justin , Ulrich D. Jentschura

A calculation of the two-particle two-hole contribution to the semi-inclusive $(\nu_\mu,\mu^-N)$ cross section on carbon is performed in the framework of the relativistic Fermi gas model. The process is driven by meson-exchange currents…

Nuclear Theory · Physics 2025-09-11 Valerio Belocchi , Maria Benedetta Barbaro , Arturo De Pace , Marco Martini

The increasing accuracy of current and planned experiments to measure the anomalous magnetic moment of the muon requires more precision and reliability of its theoretical calculation. For this purpose, we calculate the differential cross…

High Energy Physics - Phenomenology · Physics 2023-08-21 V. S. Fadin , R. N. Lee

We present a fast and efficient method to compute the inclusive two-particle two-hole (2p-2h) electroweak responses in the neutrino and electron quasielastic inclusive cross sections. The method is based on two approximations. The first…

Nuclear Theory · Physics 2017-05-24 I. Ruiz Simo , J. E. Amaro , M. B. Barbaro , J. A. Caballero , G. D. Megias , T. W. Donnelly

A two-photon emission of a medium with periodically time-dependent refractive index is considered. The emission results from the zero-point fluctuations of the medium. Usually this emission is very weak. However, it can be strongly enhanced…

Quantum Physics · Physics 2007-05-23 V. Hizhnyakov

A model for both proton and photon total cross-sections is presented and compared with data. The model is based on the eikonal representation, with QCD mini-jets to drive the rise and soft gluon kt-resummation into the Infrared region to…

High Energy Physics - Phenomenology · Physics 2010-01-27 R. M. Godbole , A. Grau , G. Pancheri , Y. N. Srivastava

We present a new method for the momentum expansion of Feynman integrals with arbitrary masses and any number of loops and external momenta. By using the parametric representation we derive a generating function for the coefficients of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 O. V. Tarasov

We present a new expression of the scattering amplitude, valid for spherical absorbing objects, which leads to an improved version of the eikonal method outside the diffraction region. Limitations of this method are discussed and numerical…

High Energy Physics - Phenomenology · Physics 2015-06-25 C. Bourrely , P. Chiappetta , T. Lemaire