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A fast method for the computation of layer potentials that arise in acoustic scattering is introduced. The principal idea is to split the singular kernel into a smooth and a local part. The potential due to the smooth part is computed…

Numerical Analysis · Mathematics 2007-05-23 Johannes Tausch

In the present paper, we consider processes involving the emission of soft photons in the presence of a strong laser field. We demonstrate that the matrix element $S$ for a process $\text{i} \rightarrow \text{f} + \gamma$, with a soft…

High Energy Physics - Phenomenology · Physics 2024-04-04 P. A. Krachkov

We study the emission of soft photons coupling to high energy fixed angle scattering processes at first order in the electromagnetic coupling but to all loop orders in a class of theories without soft divergences, including massive and…

High Energy Physics - Theory · Physics 2017-07-05 Hualong Gervais

Diffraction tomography is an inverse scattering technique used to reconstruct the spatial distribution of the material properties of a weakly scattering object. The object is exposed to radiation, typically light or ultrasound, and the…

Numerical Analysis · Mathematics 2024-03-26 Clemens Kirisits , Noemi Naujoks , Otmar Scherzer

We study the factorization method for the inverse acoustic scattering problems in the case of limited aperture data. In this case, the factorization of the far field operator is not symmetric. So, we can not apply the original factorization…

Analysis of PDEs · Mathematics 2019-03-12 Takashi Furuya

Expectation propagation is a general approach to fast approximate inference for graphical models. The existing literature treats models separately when it comes to deriving and coding expectation propagation inference algorithms. This comes…

Methodology · Statistics 2018-01-17 Wilson Y. Chen , Matt P. Wand

We present a detailed study on the infrared structure of $\mathcal{N}=4$ SYM and its connection to QCD. Calculation of collinear splitting functions helps to understand the structure and thus one can get infrared safe cross sections. We…

High Energy Physics - Theory · Physics 2019-12-30 Taushif Ahmed , Pulak Banerjee , Amlan Chakraborty , Prasanna K. Dhani , V. Ravindran , Satyajit Seth

We introduce a novel approach to high-energy QCD factorization of cross-sections for processes involving a dilute projectile and a dense target. Our method preserves the factorization between "fast" and "slow" modes in the longitudinal…

High Energy Physics - Phenomenology · Physics 2025-09-25 Renaud Boussarie , Paul Caucal , Yacine Mehtar-Tani

The light-cone distribution amplitude (LCDA) of a heavy-light meson defined in heavy quark effective theory (HQET), is a fundamental nonperturbative input to account for innumerable $B$ meson exclusive decay and production processes. On the…

High Energy Physics - Phenomenology · Physics 2020-09-30 Saadi Ishaq , Yu Jia , Xiaonu Xiong , De-Shan Yang

We consider the problem of soft scattering for the analogue of pion states in gauge-fermion theories which approach a conformal fixed point in the infrared limit. Introducing a fermion mass into such a theory will explicitly break both…

High Energy Physics - Phenomenology · Physics 2023-08-09 Daniel C. Hackett , Ethan T. Neil

I derive a single factorization formula which summarizes all soft and collinear divergences of a tree-level gauge theory amplitude. The singular factor squared is in a certain sense the generalization of the Catani-Seymour dipole…

High Energy Physics - Phenomenology · Physics 2016-08-25 David A. Kosower

We study an inverse acoustic scattering problem by the Factorization Method when the unknown scatterer consists of two objects with different physical properties. Especially, we consider the following two cases: One is the case when each…

Analysis of PDEs · Mathematics 2021-06-16 Takashsi Furuya

An important unresolved question in strong interaction physics concerns the parameterization of power-suppressed long-distance effects to hard processes that do not admit an operator product expansion (OPE). Recently Bauer et al.\ have…

High Energy Physics - Phenomenology · Physics 2011-05-05 M. Beneke , A. P. Chapovsky , M. Diehl , Th. Feldmann

The formulation of statistical physics using light-front quantization, instead of conventional equal-time boundary conditions, has important advantages for describing relativistic statistical systems, such as heavy ion collisions. We…

High Energy Physics - Theory · Physics 2014-11-18 J. Raufeisen , S. J. Brodsky

We discuss all-order factorization for the virtual Compton process at next-to-leading power (NLP) in the $\Lambda_{\rm QCD}/Q$ and $\sqrt{-t}/Q$ expansion (twist-3), both in the double-deeply-virtual case and the single-deeply-virtual case.…

High Energy Physics - Phenomenology · Physics 2025-01-31 Jakob Schoenleber , Robert Szafron

We present a numerically efficient and accurate Multiple Scattering formalism, which is a generalization of the Multiple Scattering method with a truncated basis set [X. -G. Zhang and W. H. Butler, Phys. Rev. B 46,7433 (1992)]. Compared to…

Quantum Physics · Physics 2016-05-03 Junqing Xu , Keisuke Hatada , Didier Sébilleau , Li Song

We show that the amplitudes for B decays into two light mesons at leading order in soft-collinear effective theory are factorized to all orders in alpha_s. We construct gauge-invariant four-quark operators by employing the effective…

High Energy Physics - Phenomenology · Physics 2009-11-10 Junegone Chay , Chul Kim

The deep inelastic scattering cross section in the endpoint region, $x \sim 1$, has been subjected to extensive analysis. We revisit this process, and show that in the endpoint individual factors in the factorized hadronic tensor have…

High Energy Physics - Phenomenology · Physics 2015-07-10 Sean Fleming , Ou Z. Labun

Polarized inclusive deep-inelastic diffractive scattering is dealt with in a quantum field theoretic approach. The process can be described in the general framework of non-forward scattering processes using the light-cone expansion in the…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Blümlein , D. Robaschik

This talk summarized the proof of hard-scattering factorization for exclusive deep-inelastic processes, such as diffractive meson production.

High Energy Physics - Phenomenology · Physics 2016-11-03 John C. Collins , L. Frankfurt , M. Strikman
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