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We determined the effects of the first nonlinear corrections to the gluon distribution using the solution of the QCD nonlinear Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (NLDGLAP) evolution equation at small x. By using a Laplace-transform…

High Energy Physics - Phenomenology · Physics 2014-02-05 G. R. Boroun , S. Zarrin

We consider the QCD corrections to the electric dipole moment of the neutron in the Minimal Supersymmetric Standard Model. We provide a master formula for the Wilson coefficients at the low energy scale including for the first time the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Giuseppe Degrassi , Enrico Franco , Schedar Marchetti , Luca Silvestrini

Soft-gluon resolution scales characterize parton branching Monte Carlo implementations of the evolution equations for parton distribution functions in Quantum Chromodynamics (QCD). We examine scenarios with dynamical, i.e., branching-scale…

High Energy Physics - Phenomenology · Physics 2025-07-11 F. Hautmann , L. Keersmaekers , A. Lelek , S. Sadeghi Barzani , S. Taheri Monfared

Markov chain Monte Carlo algorithms are used to simulate from complex statistical distributions by way of a local exploration of these distributions. This local feature avoids heavy requests on understanding the nature of the target, but it…

Computation · Statistics 2018-04-12 Christian P. Robert , Victor Elvira , Nick Tawn , Changye Wu

Initial conditions are required to solve medium modified DGLAP (mDGLAP) evolution equations for modified fragmentation functions due to multiple scatterings and parton energy loss. Such initial conditions should in principle include energy…

Nuclear Theory · Physics 2014-03-26 Ning-Bo Chang , Wei-Tian Deng , Xin-Nian Wang

We revisit the calculation of the evolution equations for four unpolarized twist-3 transverse momentum dependent (TMD) parton distribution functions (PDFs) at $\mathcal {O}(\alpha_s)$. Unlike the existing calculations in the literature,…

High Energy Physics - Phenomenology · Physics 2025-07-01 Xue-Tao Liu , Ping-An Liu , Yu-Lu Liu , An-Ping Chen

The QCD evolution of both unpolarized and polarized generalized parton distributions (GPDs) to next-to-leading order (NLO) accuracy is presented, in both the DGLAP and ERBL regions, for two appropriately symmetrized input distributions…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Freund , M. F. McDermott

Within the framework of generalized factorization of higher-twist contributions, including modification to splitting functions of both quark and gluon, we get and numerically resolve the medium-modified DGLAP (mDGLAP) evolution equations.…

Nuclear Theory · Physics 2011-09-30 Wei-Tian Deng , Ning-Bo Chang , Xin-Nian Wang

We investigate numerical solution of $Q^2$ evolution equations for structure functions in the nucleon and in nuclei. (Dokshitzer-Gribov-Lipatov-)Altarelli-Parisi and Mueller-Qiu evolution equations are solved in a brute-force method.…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. Miyama , S. Kumano

Using random matrices, we study the reduced dynamics of a two level system interacting with a generic environment. In the weak coupling limit, the result can be obtained directly from known results for purity decay, and result in Markovian…

Quantum Physics · Physics 2016-02-01 Nephtalí Garrido , Thomas Gorin , Carlos Pineda

The Markov Chain Monte Carlo (MCMC) algorithm is a widely recognised as an efficient method for sampling a specified posterior distribution. However, when the posterior is multi-modal, conventional MCMC algorithms either tend to become…

Instrumentation and Methods for Astrophysics · Physics 2014-08-19 Yi-Ming Hu , Martin Hendry , Ik Siong Heng

In this work we have suggested a solution of the Gribov-Levin-Ryskin-Mueller-Qiu (GLR-MQ) nonlinear evolution equation at next-to-next-to-leading order (NNLO). The range of $Q^2$ in which we have solved the GLR-MQ equation is Regge region…

High Energy Physics - Phenomenology · Physics 2018-01-22 P. Phukan , M. Lalung , J. K. Sarma

This work reviews recent developments in the Parton Branching (PB) method, focusing on its application to Transverse Momentum Dependent (TMD) parton distributions and the implementation of TMD evolution equations in Monte Carlo generators.…

High Energy Physics - Phenomenology · Physics 2024-12-19 S. Taheri Monfared

We derive the LO DGLAP evolution equation for the full Mellin moments of the truncated at $x_0$ first moment of the nonsinglet parton distribution. This "moment of moment" approach allows to determine the small-$x_0$ behaviour of the…

High Energy Physics - Phenomenology · Physics 2010-03-25 D. Kotlorz , A. Kotlorz

Enriching Brownian motion with regenerations from a fixed regeneration distribution $\mu$ at a particular regeneration rate $\kappa$ results in a Markov process that has a target distribution $\pi$ as its invariant distribution. For the…

Computation · Statistics 2024-02-22 Hector McKimm , Andi Q Wang , Murray Pollock , Christian P Robert , Gareth O Roberts

The next-to-leading order (NLO) Balitsky-Kovchegov (BK) equation describing the high-energy evolution of the scattering between a dilute projectile and a dense target suffers from instabilities unless it is supplemented by a proper…

High Energy Physics - Phenomenology · Physics 2019-05-01 B. Ducloué , E. Iancu , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

We perform a detailed NLO analysis of the combined CCFR xF_3 and F_2 structure functions data and extract the value of alpha_s, parameters of distributions and higher-twist (HT) terms using a direct solution of the DGLAP equation. The value…

High Energy Physics - Phenomenology · Physics 2014-11-17 S. I. Alekhin , A. L. Kataev

We study the effects of including a running coupling constant in high-density QCD evolution. For fixed coupling constant, QCD evolution preserves the initial dependence of the saturation momentum $Q_s$ on the nuclear size $A$ and results in…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. L. Albacete , N. Armesto , J. G. Milhano , C. A. Salgado , U. A. Wiedemann

The energy evolution of medium-modified average multiplicities and multiplicity fluctuations in quark and gluon jets produced in heavy-ion collisions is investigated from a toy QCD-inspired model. In this model, we use modified splitting…

High Energy Physics - Phenomenology · Physics 2009-09-24 Redamy Perez Ramos

We study the time evolution of quantum entanglement for a specific class of quantum dynamics, namely the locally scrambled quantum dynamics, where each step of the unitary evolution is drawn from a random ensemble that is invariant under…

Disordered Systems and Neural Networks · Physics 2020-07-01 Wei-Ting Kuo , A. A. Akhtar , Daniel P. Arovas , Yi-Zhuang You