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We present the leading-color two-loop QCD corrections for the scattering of four partons and a $W$ boson, including its leptonic decay. The amplitudes are assembled from the planar two-loop helicity amplitudes for four partons and a vector…

High Energy Physics - Phenomenology · Physics 2022-04-12 S. Abreu , F. Febres Cordero , H. Ita , M. Klinkert , B. Page , V. Sotnikov

The evolution equation for high twist operators is solved in the Double Logarithmic Approximation for cylinder-type diagrams which dominate in the limit of large number of colors. The asymptotic behaviour of the parton correlation function…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Shuvaev

It is anticipated that hard double parton scatterings will occur frequently in the collisions of the LHC, producing interesting signals and significant backgrounds to certain single scattering processes. For double scattering processes in…

High Energy Physics - Phenomenology · Physics 2015-03-13 Jonathan R. Gaunt , W. James Stirling

The spreading of density fluctuations in two-dimensional driven diffusive systems is marginally anomalous. Mode coupling theory predicts that the diffusivity in the direction of the drive diverges with time as $(\ln t)^{2/3}$ with a…

Statistical Mechanics · Physics 2018-03-23 Joachim Krug , Robert A. Neiss , Andreas Schadschneider , Johannes Schmidt

Based on the novel view that a micro-entity could be considered as a particle associated with a field partaking of the energy of particle which are both described by deterministic causal equations of motion, we examine the success of our…

Quantum Physics · Physics 2008-10-07 Afshin Shafiee , Abouzar Massoudi , Mohammad Bahrami

The effect of weak multiplicative colored noise on the dynamics of a Hamiltonian system is studied by means of asymptotic methods, in the vicinity of homoclinic or heteroclinic trajectories. A general expression for the probability of…

Chaotic Dynamics · Physics 2020-08-17 Jean-Régis Angilella

We present a systematic method to determine the dominant regions of internal momenta contributing to any two-body high-energy near-forward scattering diagram. Such a knowledge is used to evaluate leading high-energy dependences of loop…

High Energy Physics - Phenomenology · Physics 2014-11-17 Y. J. Feng , C. S. Lam

We use an s-channel picture of hard hadronic collisions to investigate the parton distribution function for quarks at small momentum fraction x, which corresponds to very high energy scattering. We study the renormalized quark distribution…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Hautmann , D. E. Soper

The diffusion in two dimensions of non-interacting active particles that follow an arbitrary motility pattern is considered for analysis. Accordingly, the transport equation is generalized to take into account an arbitrary distribution of…

Statistical Mechanics · Physics 2020-09-01 Francisco J. Sevilla

We consider the collinear limit of QCD amplitudes at one-loop order, and their factorization properties directly in colour space. These results apply to the multiple collinear limit of an arbitrary number of QCD partons, and are a basic…

High Energy Physics - Phenomenology · Physics 2009-11-10 German Rodrigo , Stefano Catani , Daniel de Florian , Werner Vogelsang

We consider double parton distribution functions (dPDFs), essential quantities in double parton scattering (DPS) studies, which encode novel non perturbative insight on the partonic proton structure. We develop the formalism to extract this…

High Energy Physics - Phenomenology · Physics 2019-10-02 Matteo Rinaldi , Federico Alberto Ceccopieri

The double distribution function approach is an efficient route towards extension of kinetic solvers to compressible flows. With a number of realizations available, an overview and comparative study in the context of high speed compressible…

Fluid Dynamics · Physics 2024-05-21 S. A. Hosseini , A. Bhadauria , I. V. Karlin

We consider two weakly coupled systems and adopt a perturbative approach based on the Ruelle response theory to study their interaction. We propose a systematic way to parametrize the effect of the coupling as a function of only the…

Statistical Mechanics · Physics 2012-08-16 Jeroen Wouters , Valerio Lucarini

We consider the TASEP on Z with two blocks of particles having different jump rates. We study the large time behavior of particles' positions. It depends both on the jump rates and the region we focus on, and we determine the complete…

Mathematical Physics · Physics 2010-03-03 Alexei Borodin , Patrik L. Ferrari , Tomohiro Sasamoto

The joint study of Double Parton Scatterings, in high energy proton-proton and proton-nucleus collisions, can provide a lot of information on multi-parton correlations. The multi-parton structure is in fact probed in a different way by DPS,…

High Energy Physics - Phenomenology · Physics 2013-12-16 Giorgio Calucci , Simona Salvini , Daniele Treleani

In this paper, we review several results from singularly perturbed differential equations with multiple small parameters. In addition, we develop a general conceptual framework to compare and contrast the different results by proposing a…

It has been suggested that a colour-entanglement effect exists in the Drell-Yan cross section for the 'double T-odd' contributions at low transverse momentum $Q_T$, rendering the colour structure different from that predicted by the usual…

High Energy Physics - Phenomenology · Physics 2018-01-19 Daniël Boer , Tom van Daal , Jonathan R. Gaunt , Tomas Kasemets , Piet J. Mulders

We derive one-loop matching condition for non-singlet quark distributions in transverse-momentum cut-off scheme, including unpolarized, helicity and transversity distributions. The matching is between the quasi-distribution defined by…

High Energy Physics - Phenomenology · Physics 2014-08-13 Xiaonu Xiong , Xiangdong Ji , Jian-Hui Zhang , Yong Zhao

Standard dipole parton showers are known to yield incorrect subleading-colour contributions to the leading (double) logarithmic terms for a variety of observables. In this work, concentrating on final-state showers, we present two simple,…

High Energy Physics - Phenomenology · Physics 2021-07-29 Keith Hamilton , Rok Medves , Gavin P. Salam , Ludovic Scyboz , Gregory Soyez

We theoretically investigate the correlation functions of the phase of a light wave propagating through a turbulent medium. We use an equation for the logarithm of a wave packet envelope, which includes a second-order nonlinear term. Based…

Optics · Physics 2026-01-14 I. V. Kolokolov , V. V. Lebedev