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We discuss a modification of the next-to-next-to-leading order (NNLO) subtraction scheme based on the residue-improved sector decomposition that reduces the number of double-real emission sectors from five to four. In particular, a sector…

High Energy Physics - Phenomenology · Physics 2017-05-24 Fabrizio Caola , Kirill Melnikov , Raoul Röntsch

The high-energy factorization and the associated B-JIMWLK or BK evolution equations are presented, using the example of DIS structure functions. The necessity of taking gluon saturation into account is discussed, and also the various…

High Energy Physics - Phenomenology · Physics 2015-05-30 Guillaume Beuf

Based on the framework of nonrelativistic Quantum Chromodynamics (NRQCD), we carry out next-to-leading order (NLO) QCD corrections to the decay of $Z$ boson into $\chi_c$ and $\chi_b$, respectively. The branching ratio of $Z \to…

High Energy Physics - Phenomenology · Physics 2019-05-15 Zhan Sun , Hong-Fei Zhang

Present knowledge of QCD n-point functions of Wilson lines at high energies is rather limited. In practical applications, it is therefore customary to factorize higher n-point functions into products of two-point functions (dipoles) which…

High Energy Physics - Phenomenology · Physics 2010-11-11 Adrian Dumitru , Jamal Jalilian-Marian

The aim of this paper is to develop and analyze high-order time stepping schemes for solving semilinear subdiffusion equations. We apply the $k$-step BDF convolution quadrature to discretize the time-fractional derivative with order…

Numerical Analysis · Mathematics 2020-03-10 Kai Wang , Zhi Zhou

The study presents an analytic solution of the Balitsky-Kovchegov~(BK) equation in a particular kinematics. The solution is written in the momentum space and based on the eigenfunctions of the truncated Balitsky-Fadin-Kuraev-Lipatov~(BFKL)…

High Energy Physics - Phenomenology · Physics 2015-05-08 Sergey Bondarenko , Alex Prygarin

We discuss the duality symmetry of the linear(BFKL) and the non-linear(BK) high energy evolutions in the multicolor limit. We show that the usual color dipole picture is dual to the forward reggeized gluon formulation. The presented…

High Energy Physics - Phenomenology · Physics 2009-12-15 Alex Prygarin

Using the potential non-relativistic quantum chromodynamics (pNRQCD) effective field theory, we derive a Lindblad equation for the evolution of the heavy-quarkonium reduced density matrix that is accurate to next-to-leading order (NLO) in…

High Energy Physics - Phenomenology · Physics 2025-11-25 Nora Brambilla , Miguel Ángel Escobedo , Ajaharul Islam , Michael Strickland , Anurag Tiwari , Antonio Vairo , Peter Vander Griend

The solution of non-linear evolution equations for dense nuclear gluon density has been suggested as one of the relevant mechanisms of pA and AA collisions at collider energies. Here we study a simple parameterization for the unintegrated…

High Energy Physics - Phenomenology · Physics 2010-02-11 M. A. Betemps , M. V. T. Machado

The solution to the BFKL equation grows like a power of center of mass energy, s, violating unitarity conditions at high energies. The growth of the cross section can be tamed by taking into account multiple pomeron exchanges. This is known…

High Energy Physics - Phenomenology · Physics 2007-05-23 Emil Avsar

The Higgs boson production associated with a $W$-boson and a photon at the Large Hadron Collider (LHC) can be used to probe the coupling between Higgs boson and vector gauge bosons and discover a signature of new physics. We present the…

High Energy Physics - Phenomenology · Physics 2013-10-04 Song Mao , Wan Neng , Li Gang , Ma Wen-Gan , Zhang Ren-You , Guo Lei , Zhou Ya-Jin , Guo Jian-You

I present derivation the BK equation for the dipole gluon density in momentum space, starting from its standard formulation in coordinate space. I review the equation for both proton and nuclear targets, and I also discuss the resummed BK…

High Energy Physics - Phenomenology · Physics 2026-02-13 Krzysztof Kutak

We calculate DIS-scheme splitting and coefficient functions for electromagnetic deep inelastic scattering with small x resummations, as given by the NLL BFKL equation with running coupling and approximate NLL resummed impact factors. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. D. White , R. S. Thorne

We determine the next-to-leading order dispersion laws for slow-moving quarks in hard-thermal-loop perturbation of high-temperature QCD where weak coupling is assumed. Real-time formalism is used. The next-to-leading order quark self-energy…

High Energy Physics - Phenomenology · Physics 2015-03-19 Abdessamad Abada , Karima Benchallal , Karima Bouakaz

We compute the next-to-leading order (NLO) QCD corrections to the $1 \to 2$ splitting amplitudes in different dimensional regularization (DREG) schemes. Besides recovering previously known results, we explore new DREG schemes and analyze…

High Energy Physics - Phenomenology · Physics 2014-01-15 German F. R. Sborlini , Daniel de Florian , German Rodrigo

We indicate that the random aperiodic oscillation of the gluon distributions in a modified Balisky--Fadin--Kuraev--Lipatov (BFKL) equation has positive Lyapunov exponents. This first example of chaos in QCD evolution equations, raises the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wei Zhu , Zhenqi Shen , Jianhong Ruan

We present precise resummed predictions for Higgs boson rapidity distribution through bottom quark annihilation at next-to-next-to-leading logarithmic (NNLL) accuracy matched to next-to-next-to-leading order (NNLO) and at…

High Energy Physics - Phenomenology · Physics 2023-11-22 Goutam Das

Recent concerns about the very large next-to-leading logarithmic (NLL) corrections to the BFKL equation are addressed by the introduction of a physical rapidity-separation parameter $\Delta$. At the leading logarithm (LL) this parameter…

High Energy Physics - Phenomenology · Physics 2016-08-25 Carl R. Schmidt

We calculate the important next-to-leading-order (NLO) contributions to the $B \to K K^*$ decays from the vertex corrections, the quark loops, and the magnetic penguins in the perturbative QCD (pQCD) factorization approach. The pQCD…

High Energy Physics - Phenomenology · Physics 2009-01-14 Zhi-Qing Zhang , Zhen-Jun Xiao

We present an analysis of lepton-jet azimuthal decorrelation in deep-inelastic scattering (DIS) at next-to-next-to-next-to-leading logarithmic (N$^{3}$LL) accuracy, combined with fixed-order corrections at $\mathcal{O}(\alpha_s^2)$. In this…

High Energy Physics - Phenomenology · Physics 2024-09-17 Shen Fang , Mei-Sen Gao , Hai Tao Li , Ding Yu Shao
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