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Two-jet event shape distributions, traditionally studied in the language of perturbative QCD, can be described naturally in soft-collinear effective theory. In this language, we demonstrate factorization of event shape distributions into…

High Energy Physics - Phenomenology · Physics 2010-10-27 Christopher Lee

We propose a simple method for incorporating correlations into the impact parameter space description of multiple (semi-)hard partonic collisions in high energy hadron-hadron scattering. The perturbative QCD input is the standard…

High Energy Physics - Phenomenology · Physics 2010-04-06 T. C. Rogers , M. Strikman

This thesis is devoted to the study of some aspects of perturbative QCD, and in particular to the development of high-precision techniques for the extraction of physical parameters such as structure functions, parton distributions, and the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrea Piccione

It has been known for a long time that vacuum polarization in QED leads to a superluminal low-frequency phase velocity for light propagating in curved spacetime. Assuming the validity of the Kramers-Kronig dispersion relation, this would…

High Energy Physics - Theory · Physics 2008-11-26 Timothy J. Hollowood , Graham M. Shore

Motivated by recent efforts to analyze corrections to Weinberg's relations for the scattering length and effective range in the presence of a near-threshold bound state, we play around with an instructive toy model for non-relativistic…

High Energy Physics - Phenomenology · Physics 2022-04-06 Peter C. Bruns

In a study of the elastic pion form factor for large momentum transfers based on a modified perturbative QCD (PQCD) approach we have included helicity components that are customarily neglected. Along with the inclusion of transverse…

High Energy Physics - Phenomenology · Physics 2009-10-28 Siwen Wang , Leonard S. Kisslinger

Propagation of transition fronts in models of coupled oscillators with non-degenerate on-site potential is usually considered in terms of travelling waves. We show that the system dynamics can be reformulated as an implicit map structure,…

Pattern Formation and Solitons · Physics 2018-08-08 I. B. Shiroky , O. V. Gendelman

The dependence of the scaling properties of the structure factor on space dimensionality, range of interaction, initial and final conditions, presence or absence of a conservation law is analysed in the framework of the large-N model for…

Condensed Matter · Physics 2009-10-22 Antonio Coniglio , Patrizia Ruggiero , Marco Zannetti

The moments of the single inclusive momentum distribution of hadrons in QCD jets, are studied in the next-to-modified-leading-log approximation (NMLLA) including next-to-leading-order (NLO) corrections to the alpha_s strong coupling. The…

High Energy Physics - Phenomenology · Physics 2014-08-18 Redamy Perez-Ramos , David d'Enterria

The density matrix positivity is a natural counterpart of unitarity. The resulting constraints for various parton distribution and correlations are considered. Their compatibility with leading order QCD evolution is guaranteed by the…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. V. Teryaev

The frozen QCD coupling is a parameter often used as an effective fixed coupling. It is supposed to mimic both the running coupling effects and the lack of knowledge of alpha_s in the infrared region. Usually the value of the frozen…

High Energy Physics - Phenomenology · Physics 2013-02-21 B. I. Ermolaev , M. Greco , S. I. Troyan

We perform a numerical study of non-local partonic transport in anisotropic QCD matter, relevant to the evolution of hard probes in the aftermath of high-energy nuclear scattering events. The recently derived master equation, obtained from…

Nuclear Theory · Physics 2025-02-20 João Barata , Xiaojian Du , Andrey V. Sadofyev

We continue exploring the Unitary Toy Model (UTM) as a playground for high energy collisions in QCD. Our new approach is based on the diagonalization of the evolution Hamiltonian. Part of the spectrum can be identified with intercepts of…

High Energy Physics - Phenomenology · Physics 2024-06-19 Alex Kovner , Eugene Levin , Michael Lublinsky

The question is discussed: to what extent the often assumed independence of the phase of the elastic scattering amplitude from the momentum transfer \textit{in the region of only small values} of $ t $ limits $ t $-dependence of the phase…

High Energy Physics - Phenomenology · Physics 2020-02-25 Vladimir A. Petrov

We study scattering of quasi one-dimensional matter-waves at an interface of two spatial domains, one with repulsive and one with attractive interatomic interactions. It is shown that the incidence of a Gaussian wavepacket from the…

Quantum Gases · Physics 2015-06-23 F. Tsitoura , P. Krüger , P. G. Kevrekidis , D. J. Frantzeskakis

We discuss reflection factors for purely elastic scattering theories and relate them to perturbations of specific conformal boundary conditions, using recent results on exact off-critical g-functions. For the non-unitary cases, we support…

High Energy Physics - Theory · Physics 2008-11-26 Patrick Dorey , Anna Lishman , Chaiho Rim , Roberto Tateo

We show the renormalization of contact interaction for odd-wave scattering in one-dimension(1D). Based on the renormalized interaction, we exactly solve the two-body problem in a harmonic trap, and further explore the universal properties…

Quantum Gases · Physics 2016-10-25 Xiaoling Cui

We derive a simple and general relation between the fidelity of quantum motion, characterizing the stability of quantum dynamics with respect to arbitrary static perturbation of the unitary evolution propagator, and the integrated time…

Chaotic Dynamics · Physics 2009-11-07 Tomaz Prosen , Marko Znidaric

The evolution problem for a quantum particle confined in a 1D box and interacting with one fixed point through a time dependent point interaction is considered. Under suitable assumptions of regularity for the time profile of the…

Analysis of PDEs · Mathematics 2015-05-19 Andrea Mantile

We study the statistical properties of wave scattering in a disordered waveguide. The statistical properties of a "building block" of length (delta)L are derived from a potential model and used to find the evolution with length of the…

Materials Science · Physics 2014-10-13 L. S. Froufe-Perez , M. Yepez , P. A. Mello , J. J. Saenz