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Models coming from different physical applications are very large in size. Simulation with such systems is expensive so one usually obtains a reduced model (by model reduction) that replicates the input-output behaviour of the original full…

Numerical Analysis · Mathematics 2017-09-05 Rajendra Choudhary , Kapil Ahuja

This paper is concerned with the existence and uniqueness of weak solutions to the Cauchy-Dirichlet problem of backward stochastic partial differential equations (BSPDEs) with nonhomogeneous terms of quadratic growth in both the gradient of…

Probability · Mathematics 2012-07-24 Kai Du , Shaokuan Chen

We compute perturbative matching coefficients to the Heavy Quark Effective Theory representation for the QCD effective local $\Delta B=2$ Hamiltonian that determines the mass difference in $B^0-\bar{B}^0$ system of states. We report on the…

High Energy Physics - Phenomenology · Physics 2018-10-03 Andrey G. Grozin , Thomas Mannel , Alexei A. Pivovarov

We propose a new generalized version of the QCD Analytic Perturbation Theory of Shirkov and Solovtsov for the computation of higher-order corrections in inclusive and exclusive processes. We construct non-power series expansions for the…

High Energy Physics - Phenomenology · Physics 2014-11-18 A. P. Bakulev , S. V. Mikhailov , N. G. Stefanis

The very long-term evolution of the hierarchical restricted three-body problem with a slightly aligned precessing quadrupole potential is studied analytically. This problem describes the evolution of a star and a planet which are perturbed…

High Energy Astrophysical Phenomena · Physics 2023-08-21 Ygal Y. Klein , Boaz Katz

We study the region of small transverse momenta in qqbar- and gg-initiated processes with no colored particle detected in the final state. We present the universal expression of the O(alpha_s^2) logarithmically enhanced contributions up to…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. de Florian , M. Grazzini

The hard-scattering contributions to heavy-to-light form factors at large recoil are studied systematically in soft-collinear effective theory (SCET). Large logarithms arising from multiple energy scales are resummed by matching QCD onto…

High Energy Physics - Phenomenology · Physics 2009-11-10 Richard J. Hill , Thomas Becher , Seung J. Lee , Matthias Neubert

We investigate the Balitsky-Kovchegov (BK) equation for D=3 space-time dimensions, corresponding to one transverse coordinate, and we show that it can be solved analytically. The explicit solutions are found in the linear approximation and…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. Bartels , V. S. Fadin , L. N. Lipatov

The perturbative instability of NLO collinear factorisation (CF) computations of $p_T$-integrated cross sections of heavy quarkonium production at high hadronic or photon-hadron collision energy is discussed. We resolve this problem via the…

High Energy Physics - Phenomenology · Physics 2023-09-19 Maxim Nefedov

The leading and next-to-leading threshold logarithms of the QCD corrections to electroproduction of heavy quarks in single-particle inclusive kinematics are resummed to all orders in perturbation theory. The resummed cross-section is used…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sven Moch

Solutions of the target-rapidity Balitsky-Kovchegov (BK) equation are studied considering, for the first time, the complete impact-parameter dependence, including the orientation of the dipole with respect to the impact-parameter vector. In…

High Energy Physics - Phenomenology · Physics 2023-12-01 J. Cepila , J. G. Contreras , M. Vaculciak

We solved the impact-parameter dependent Balitsky-Kovchegov equation with the recently proposed collinearly imporved kernel. We find that the solutions do not present the Coulomb tails that have affected previous studies. We also show that…

High Energy Physics - Phenomenology · Physics 2019-04-03 J. Cepila , J. G. Contreras , M. Matas

The solution to the impact-parameter dependent Balitsky-Kovchegov equation with the collinearly improved kernel is studied in detail. The solution does not present the phenomenon of Coulomb tails at large impact parameters that have…

High Energy Physics - Phenomenology · Physics 2019-09-18 D. Bendova , J. Cepila , J. G. Contreras , M. Matas

Using the standard Balitsky-Fadin-Kuraev-Lipatov (BFKL) approach, with partial inclusion of next-to-leading order effects, we propose the inclusive hadroproduction of a Higgs boson and of a jet, featuring large transverse momenta and well…

High Energy Physics - Phenomenology · Physics 2022-08-03 Francesco Giovanni Celiberto , Dmitry Yu. Ivanov , Mohammed. M. A. Mohammed , Alessandro Papa

The dominant electroweak double logarithmic corrections to the process $e^+e^-\to f\bar f$ at high energy are found in all orders of perturbation theory. In contrast to results in simple Yang-Mills theories these corrections do not…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. H. Kühn , A. A. Penin

We calculate higher-order soft-gluon corrections for the associated production of a top-antitop quark pair and a Higgs boson ($t{\bar t}H$ production) using resummation in one-particle-inclusive (1PI) kinematics. By adding these corrections…

High Energy Physics - Phenomenology · Physics 2026-01-23 Nikolaos Kidonakis , Nodoka Yamanaka

We introduce a collection of nonlinear integrable partial differential-difference equations that are satisfied by the one-point distribution functions of some classical integrable KPZ models. Moreover, these equations can be regarded as…

Probability · Mathematics 2025-09-23 C. Alexander Rodriguez

We study the solution of the nonlinear BK evolution equation with the recently calculated running coupling corrections [hep-ph/0609105, hep-ph/0609090]. Performing a numerical solution we confirm the earlier result of [hep-ph/0408216] that…

High Energy Physics - Phenomenology · Physics 2008-11-26 Javier L. Albacete , Yuri V. Kovchegov

The solutions of the Wigner-transformed time-dependent Hartree--Fock--Bogoliubov equations are studied in the constant-$\Delta$ approximation. This approximation is known to violate particle-number conservation. As a consequence, the…

Nuclear Theory · Physics 2008-11-26 V. I. Abrosimov , D. M. Brink , A. Dellafiore , F. Matera

Studying semi-hard processes in the large center-of-mass energy limit gives us an opportunity to further test perturbative QCD in an unexplored kinematical configuration, contributing to a better understanding of the dynamics of strong…

High Energy Physics - Phenomenology · Physics 2022-04-26 Mohammed Maher Abdelrahim Mohammed
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