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We show that the Balitsky-JIMWLK equations proposed to describe non-linear evolution in QCD at high energy fail to include the effects of fluctuations in the gluon number, and thus to correctly describe both the low density regime and the…

High Energy Physics - Phenomenology · Physics 2011-01-25 E. Iancu , D. N. Triantafyllopoulos

Within the framework of higher-twist collinear factorization, transverse momentum broadening for the final hadrons in semi-inclusive deeply inelastic $e+A$ collisions is studied at the next-to-leading order (NLO) in perturbative QCD.…

High Energy Physics - Phenomenology · Physics 2016-12-28 Zhong-Bo Kang , Enke Wang , Xin-Nian Wang , Hongxi Xing

I present results for the top quark rapidity distribution at LHC and Tevatron energies, including higher-order corrections from threshold resummation. The next-to-next-to-leading-order (NNLO) soft-gluon corrections at…

High Energy Physics - Phenomenology · Physics 2011-08-08 Nikolaos Kidonakis

We analyze the general nonlinear evolution equations for multi gluon correlators derived in hep-ph/9709432 by restricting ourselves to a double logarithmic region. In this region our evolution equation becomes local in transverse momentum…

High Energy Physics - Phenomenology · Physics 2014-11-17 Jamal Jalilian-Marian , Alex Kovner , Andrei Leonidov , Heribert Weigert

We propose an effective theory which governs Pomeron dynamics in QCD at high energy, in the leading logarithmic approximation, and in the limit where N_c, the number of colors, is large. In spite of its remarkably simple structure, this…

High Energy Physics - Phenomenology · Physics 2016-09-06 J. -P. Blaizot , E. Iancu , K. Itakura , D. N. Triantafyllopoulos

Density perturbations and their dynamic evolution from early to late times can be used for an improved understanding of interesting physical phenomena both in cosmology and in the context of heavy-ion collisions. We discuss the spectrum and…

High Energy Physics - Phenomenology · Physics 2015-03-11 Nikolaos Brouzakis , Stefan Floerchinger , Nikolaos Tetradis , Urs Achim Wiedemann

Recently Kovner and Lublinsky proposed a set of equations which can be viewed as dual to JIMWLK evolution. We show that these dual equations have a natural dipole-like structure, as conjectured by Kovner and Lublinsky. In the high energy…

High Energy Physics - Phenomenology · Physics 2009-11-11 C. Marquet , A. H. Mueller , A. I. Shoshi , S. M. H. Wong

In this lecture the next-to-leading order (NLO) corrections to the QCD Pomeron intercept obtained from the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation are discussed. It is shown that the BFKL Pomeron intercept when evaluated in…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. S. Fadin , V. T. Kim , L. N. Lipatov , G. B. Pivovarov

We calculate to next-to-leading order accuracy the high-energy elastic scattering cross section for an electron off of a classical point source. We use the $\overline{\mathrm{MS}}$ renormalization scheme to tame the ultraviolet divergences…

High Energy Physics - Phenomenology · Physics 2017-07-03 Abdullah Khalil

We analyze the stability and dynamics of bistable planar fronts in multicomponent reaction-diffusion systems on $\mathbb{R}^{d}$. Under standard spectral stability assumptions, we establish Lyapunov stability of the front against fully…

Analysis of PDEs · Mathematics 2026-01-12 Björn de Rijk , Joris van Winden

By employing the perturbative QCD(pQCD) factorization approach, we calculated the partial next-to-leading order (NLO) contributions to $B_s \to P P$ decays ($P= \pi, K, \etap $), coming from the QCD vertex corrections, the quark-loops and…

High Energy Physics - Phenomenology · Physics 2008-12-15 Jing Liu , Rui Zhou , Zhen-Jun Xiao

A formalism is given to hermitize the HAL QCD potential, which needs to be non-hermitian except the leading order (LO) local term in the derivative expansion as the Nambu-Bethe-Salpeter (NBS) wave functions for different energies are not…

High Energy Physics - Lattice · Physics 2020-03-04 Sinya Aoki , Takumi Iritani , Koichi Yazaki

We show how it is possible to rewrite the BFKL equation for the unintegrated gluon distribution, in terms of integrated gluons, similar to that used in DGLAP. We add to our equation the next-to-leading log terms which provide exact…

High Energy Physics - Phenomenology · Physics 2015-06-19 E. G. de Oliveira , A. D. Martin , M. G. Ryskin

We present the first computation of next-to-next-to-leading order (NNLO) pure QED and mixed QCD$\otimes$QED corrections to unpolarized and polarized semi-inclusive deep-inelastic scattering (SIDIS). Building on our previous NNLO QCD…

High Energy Physics - Phenomenology · Physics 2025-10-22 Saurav Goyal , Roman N. Lee , Sven-Olaf Moch , Vaibhav Pathak , V. Ravindran

At high baryon chemical potential $\mu_B$, the equation of state of QCD allows a weak-coupling expansion in the QCD coupling $\alpha_s$. The result is currently known up to and including the full next-to-next-to-leading order (NNLO)…

High Energy Physics - Phenomenology · Physics 2024-04-22 Tyler Gorda , Aleksi Kurkela , Paul Romatschke , Saga Säppi , Aleksi Vuorinen

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

We consider QCD radiative corrections to vector-boson production in hadron collisions. We present the next-to-next-to-leading order (NNLO) result of the hard-collinear coefficient function for the all-order resummation of…

High Energy Physics - Phenomenology · Physics 2015-06-11 S. Catani , L. Cieri , D. de Florian , G. Ferrera , M. Grazzini

We consider the higher-order resummation of Sudakov double logarithms in the presence of multiple coupled gauge interactions. The associated evolution equations depend on the coupled $\beta$ functions of two (or more) coupling constants…

High Energy Physics - Phenomenology · Physics 2020-04-22 Georgios Billis , Frank J. Tackmann , Jim Talbert

Within the framework of the dipole factorisation, we use a recent collinearly-improved version of the Balitsky-Kovchegov equation to fit the HERA data for inclusive deep inelastic scattering at small Bjorken $x$. The equation includes an…

High Energy Physics - Phenomenology · Physics 2020-02-19 B. Ducloué , E. Iancu , G. Soyez , D. N. Triantafyllopoulos

We perform the first dipole picture fit to HERA inclusive cross section data using the full next-to-leading order (NLO) impact factor combined with an improved Balitsky-Kovchegov evolution including the dominant effects beyond leading…

High Energy Physics - Phenomenology · Physics 2020-11-04 G. Beuf , H. Hänninen , T. Lappi , H. Mäntysaari