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We present a general all-order formulation of Sudakov resummation in QCD in terms of dispersion integrals. We show that the Sudakov exponent can be written as a dispersion integral over spectral density functions, weighted by characteristic…

High Energy Physics - Phenomenology · Physics 2008-11-26 Einan Gardi , Georges Grunberg

We describe the calculation of integrated subtraction terms in the nested soft-collinear subtraction scheme for hadron collider processes with quarks and gluons, thereby extending the results presented in Ref.$~$[1]. Although this extension…

High Energy Physics - Phenomenology · Physics 2025-03-20 Federica Devoto , Kirill Melnikov , Raoul Röntsch , Chiara Signorile-Signorile , Davide Maria Tagliabue , Matteo Tresoldi

We present an analysis of the role of the running coupling constant at the intersection of perturbative and nonperturbative QCD. Although the approaches that have been considered so far in these two regimes appear to be complementary to…

High Energy Physics - Phenomenology · Physics 2015-06-15 A. Courtoy , S. Liuti

We discuss some QCD constraints on light-cone $\pi$ meson wave function $\psi(\k, x)$ . The analysis is based on such general methods as dispersion relations, duality and PCAC. We calculate the asymptotical behavior of the wave function…

High Energy Physics - Phenomenology · Physics 2016-08-24 Boris Chibisov Ariel R. Zhitnitsky

The description of strong interaction physics of low-lying resonances is out of the valid range of perturbative QCD. Chiral effective field theories have been developed to tackle the issue. Partial wave dynamics is the systematic tool to…

High Energy Physics - Phenomenology · Physics 2021-10-26 De-Liang Yao , Ling-Yun Dai , Han-Qing Zheng , Zhi-Yong Zhou

In this paper, we introduce a diffuse interface model for describing the dynamics of mixtures involving multiple (two or more) phases. The coupled hydrodynamical system is derived through an energetic variational approach. The total energy…

Analysis of PDEs · Mathematics 2014-02-24 J. Brannick , C. Liu , T. Qian , H. Sun

We re-evaluate the non-perturbative contribution to the thrust distribution in $e^+e^-\to$ hadrons, in the light of the latest experimental data and the recent NNLO perturbative calculation of this quantity. By extending the calculation to…

High Energy Physics - Phenomenology · Physics 2009-01-22 R. A. Davison , B. R. Webber

Depending on the energy regime, the dynamics of heavy-ion collisions reveals a variety of different mechanisms which are attributed to the combination of collective and dissipative effects. Semi-classical approaches have been successful in…

Nuclear Theory · Physics 2022-03-28 Hung Dinh Viet , Paolo Napolitani

We introduce the azimuthal correlation for the deep inelastic scattering process. We present the QCD prediction to the level of next-to-leading log resummation, matching to the fixed order prediction. We also estimate the leading…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Banfi , G. Marchesini , G. Smye

We prove a sequence of limiting results about weakly dependent stationary and regularly varying stochastic processes in discrete time. After deducing the limiting distribution for individual clusters of extremes, we present a new type of…

Probability · Mathematics 2017-12-05 Bojan Basrak , Hrvoje Planinic , Philippe Soulier

We present a new semi-numerical method to compute leading hadronisation corrections to two-jet event shapes in $e^+e^-$ annihilation. The formalism we present utilises the dispersive approach, where the magnitude of power corrections is…

High Energy Physics - Phenomenology · Physics 2023-09-07 Andrea Banfi , Basem Kamal El-Menoufi , Ryan Wood

We present a first attempt to experimentally extract an effective strong coupling constant that we define to be a low Q2 extension of a previous definition by S. Brodsky et al. following an initial work of G. Grunberg. Using Jefferson Lab…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Deur , V. Burkert , J. P. Chen , W. Korsch

We provide a systematic method for constructing effective dispersive Lindblad master equations to describe weakly anharmonic superconducting circuits coupled by a generic dissipationless nonreciprocal linear system, with effective coupling…

We present a detailed study, performed in the framework of LO perturbative QCD with the inclusion of spin and k_T effects, of unpolarized cross sections for the Drell-Yan process and for inclusive pion and photon production in hadronic…

High Energy Physics - Phenomenology · Physics 2017-08-23 U. D'Alesio , F. Murgia

A full-quantum approach is used to study quantum nonlinear properties of a compound Michelson-Sagnac interferometer optomechanical system. The effective Hamiltonian shows that both dissipative and dispersive couplings possess imaginary- and…

Quantum Physics · Physics 2023-10-20 Wen-Quan Yang , Wei Niu , Yong-Hong Ma , Wen-Zhao Zhang

Although nonperturbative functional methods are often associated with low energy Quantum Chromodynamics, contemporary studies indicate that they provide reliable tools to characterize a much wider spectrum of strongly interacting many-body…

High Energy Physics - Phenomenology · Physics 2015-06-15 Carina Popovici

The existing theory of hard exclusive QCD processes is based on two assumptions: (i) $factorization$ into a $hard\,block$ times light front distribution amplitudes (DA's); (ii) use of perturbative gluon exchanges within the hard block.…

High Energy Physics - Phenomenology · Physics 2021-03-31 Edward Shuryak , Ismail Zahed

The relativistic amplitudes of pion photo- and electroproduction are calculated by dispersion relations at constant t. Several sum rules and low-energy theorems for the threshold amplitudes are investigated within this technique. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. Drechsel , B. Pasquini , L. Tiator

The large-$x$ behavior of the transverse-momentum dependent quark distributions is analyzed in the factorization-inspired perturbative QCD framework, particularly for the naive time-reversal-odd quark Sivers function which is responsible…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stanley J. Brodsky , Feng Yuan

We present a global analysis of available data on inclusive structure functions and reduced cross sections measured in electron-proton scattering at small values of Bjorken-x, x<0.01, including the latest data from HERA on reduced cross…

High Energy Physics - Phenomenology · Physics 2015-05-20 J. L. Albacete , N. Armesto , J. G. Milhano , P. Quiroga Arias , C. A. Salgado