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A new class of the constrained Monte Carlo (CMC) algorithms for the QCD evolution equation was recently discovered. The constraint is imposed on the type and the total longitudinal energy of the parton exiting QCD evolution and entering a…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Jadach , M. Skrzypek

We investigate the inclusive top quark pair production in proton-proton and proton-antiproton collisions at high energies in the framework of kt-factorization QCD approach. Our study is based on the off-shell partonic subprocesses g*g* ->…

High Energy Physics - Phenomenology · Physics 2015-05-28 A. V. Lipatov , N. P. Zotov

We employ a time-dependent Schr\"odinger equation to study the evolution of a $c\bar c$ dipole in a quark-gluon plasma (QGP). Medium effects on the heavy-quark potential in the QGP are found to significantly affect the timescales of the…

Nuclear Theory · Physics 2016-12-08 Baoyi Chen , Xiaojian Du , Ralf Rapp

We show that to correctly describe the effects of the heavy-quark mass, m_h, in DGLAP evolution, it is necessary to work in the so-called `physical' scheme. In this way, we automatically obtain a smooth transition through the heavy-quark…

High Energy Physics - Phenomenology · Physics 2015-06-16 E. G. de Oliveira , A. D. Martin , M. G. Ryskin , A. G. Shuvaev

QCD factorization takes different forms in the large-x and small-x regimes. At large-x, collinear factorization leads to the DGLAP evolution equation, while at small-x, rapidity factorization results in the BFKL equation. To unify these…

High Energy Physics - Phenomenology · Physics 2024-07-22 Swagato Mukherjee , Vladimir Skokov , Andrey Tarasov , Shaswat Tiwari

We analyze the order-$\alpha_s^2$ QCD corrections to semi-inclusive deep inelastic scattering and present results for processes initiated by a gluon. We focus in the most singular pieces of these corrections in order to obtain the hitherto…

High Energy Physics - Phenomenology · Physics 2016-08-16 A. Daleo , C. A. García Canal , R. Sassot

A key ingredient in the description of double parton distributions is their scale dependence. If the colour of each individual parton is summed over, the distributions evolve with the same DGLAP kernels as ordinary parton distributions.…

High Energy Physics - Phenomenology · Physics 2023-05-24 Markus Diehl , Florian Fabry , Alexey Vladimirov

In the domain of variational quantum algorithms, quantum Fourier models (QFMs) provide a mathematically well defined structure for quantum machine learning (QML). There has been a substantial amount of work on the scalability and…

Quantum Physics · Physics 2026-05-07 Melvin Strobl , Maja Franz , Lukas Scheller , Eileen Kuehn , Wolfgang Mauerer , Achim Streit

We present a quantum cellular automaton model in one space-dimension which has the Dirac equation as emergent. This model, a discrete-time and causal unitary evolution of a lattice of quantum systems, is derived from the assumptions of…

Quantum Physics · Physics 2015-02-12 Alessandro Bisio , Giacomo Mauro D'Ariano , Alessandro Tosini

Generalized parton distributions (GPDs) characterize the 3-dimensional structure of hadrons, combining information about their internal quark and gluon longitudinal momentum distributions and transverse position within the hadron. The…

High Energy Physics - Phenomenology · Physics 2024-12-25 A. Freese , D. Adamiak , I. Cloët , W. Melnitchouk , J. -W. Qiu , N. Sato , M. Zaccheddu

We solve CCFM evolution equation numerically using the CohRad program based on Monte Carlo methods. We discuss the effects of removing soft emissions and non-Sudakov form factor by comparing the obtained distributions as functions of…

High Energy Physics - Phenomenology · Physics 2013-05-14 M. Slawinska , S. Jadach , K. Kutak

We consider the singular behaviour of one-loop QCD matrix elements when several external partons become simultaneously parallel. We present a new factorization formula that describes the singular collinear behaviour directly in colour…

High Energy Physics - Phenomenology · Physics 2010-04-05 Stefano Catani , Daniel de Florian , German Rodrigo

New methods of solutions of the DGLAP equation and their implementation through NNLO in QCD are briefly reviewed. We organize the perturbative expansion that describes in $x$-space the evolved parton distributions in terms of scale…

High Energy Physics - Phenomenology · Physics 2008-12-30 Alessandro Cafarella , Claudio Coriano , Marco Guzzi

We present the constrained Monte Carlo (CMC) algorithm for the QCD evolution. The constraint resides in that the total longitudinal energy of the emissions in the MC and in the underlying QCD evolution is predefined (constrained). This CMC…

High Energy Physics - Phenomenology · Physics 2010-03-25 S. Jadach , M. Skrzypek

Recent advancements in quantum computing (QC) and machine learning (ML) have garnered significant attention, leading to substantial efforts toward the development of quantum machine learning (QML) algorithms to address a variety of complex…

Quantum Physics · Physics 2024-12-18 Samuel Yen-Chi Chen

We examine the nature of phase transitions occurring in strongly correlated Fermi systems at the quantum critical point (QCP) associated with a divergent effective mass. Conventional scenarios for the QCP involving collective degrees of…

Strongly Correlated Electrons · Physics 2010-04-20 V. A. Khodel , J. W. Clark , M. V. Zverev

Quantum electrodynamics and electroweak corrections are important ingredients for many theoretical predictions at the LHC. This paper documents APFEL, a new PDF evolution package that allows for the first time to perform DGLAP evolution up…

High Energy Physics - Phenomenology · Physics 2015-06-17 Valerio Bertone , Stefano Carrazza , Juan Rojo

One of the distinctive feature of the QCD phase diagram is the possible emergence of a critical endpoint. The critical region around the critical point and the path dependency of the critical exponents is investigated within effective…

High Energy Physics - Phenomenology · Physics 2012-02-16 Bernd-Jochen Schaefer , Mathias Wagner

The exclusive process e+ e- -> e+ e- rho^0_L rho^0_L allows to study various dynamics and factorization properties of perturbative QCD. At moderate energy, we demonstrate how collinear QCD factorization emerges, involving generalized…

High Energy Physics - Phenomenology · Physics 2007-10-04 S. Wallon , B. Pire , M. Segond , L. Szymanowski

In the context of both inclusive and diffractive deep inelastic scattering, we derive the first phenomenological consequences of the inclusion of Pomeron loops in the QCD evolution equations towards high energy. We discuss the transition…

High Energy Physics - Phenomenology · Physics 2007-05-23 Cyrille Marquet