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We review the parton model and the Regge approach to the QCD description of the deep-inelastic $ep$ scattering at the small Bjorken variable $x$ and demonstrate their relation with the DGLAP and BFKL evolution equations. It is shown, that…

高能物理 - 唯象学 · 物理学 2014-11-17 L. N. Lipatov

For the case of $n$-jet production at next-to-next-to-leading order in the QCD coupling, in the infrared divergent corners of phase space where particles are collinear or soft, one must evaluate $(n+1)$-parton final-state one-loop…

高能物理 - 唯象学 · 物理学 2008-11-26 Zvi Bern , Vittorio Del Duca , Carl R. Schmidt

The amplitude for 4 interacting reggeized gluons is studied in the high-colour limit. The leading order amplitude is explicitly shown to reduce to a pair of reggeons, i.e to a single BFKL pomeron. The next-to-leading order diffractive…

高能物理 - 唯象学 · 物理学 2011-09-13 M. Braun

In the present work we explore for the first time the general structure and properties of the nonperturbative quark-gluon vertex in the complex plane. Specifically, we focus on the transversely-projected quark-gluon vertex that emerges from…

高能物理 - 唯象学 · 物理学 2026-05-08 M. N. Ferreira , A. S. Miramontes , J. M. Morgado , J. Papavassiliou

We compute semi-leptonic $B_s$ decay form factors using Heavy Quark Effective Theory on the lattice. To obtain good control of the $1/m_b$ expansion, one has to take into account not only the leading static order but also the terms arising…

高能物理 - 格点 · 物理学 2018-04-18 Debasish Banerjee , Mateusz Koren , Hubert Simma , Rainer Sommer

We show that next-leading logarithmic (NLL) Balitsky-Fadin-Kuraev-Lipatov (BFKL) effects can be tested by the forward-jet cross sections recently measured at HERA. For d\sigma/dx, the NLL corrections are small which confirms the stability…

高能物理 - 唯象学 · 物理学 2008-11-26 O. Kepka , C. Marquet , R. Peschanski , C. Royon

The Balitsky-Fadin-Kuraev-Lipatov (BFKL) approach for the cross sections at high energy $\sqrt s$ in perturbative QCD is briefly reviewed. The role of gluon Reggeization in the derivation of the BFKL equation and its compatibility with…

高能物理 - 唯象学 · 物理学 2007-05-23 A. Papa

We study the two-point function of local operators in the critical O(N) model in the presence of a magnetic field localized on a line. We use a recently developed conformal dispersion relation to compute the correlator at first order in the…

高能物理 - 理论 · 物理学 2023-05-03 Lorenzo Bianchi , Davide Bonomi , Elia de Sabbata

Bootstrap percolation on a graph iteratively enlarges a set of occupied sites by adjoining points with at least $\theta$ occupied neighbors. The initially occupied set is random, given by a uniform product measure, and we say that spanning…

概率论 · 数学 2015-05-14 Janko Gravner , David Sivakoff

We perform a case study of the behavior of gluon radiation beyond the soft approximation, using as an example the Drell-Yan production cross section at NNLO. We draw a careful distinction between the eikonal expansion, which is in powers of…

高能物理 - 唯象学 · 物理学 2015-06-23 Domenico Bonocore , Eric Laenen , Lorenzo Magnea , Leonardo Vernazza , Chris D. White

We complete the calculation of the next-to-leading kernel of the BFKL equation, by disentangling its energy-scale dependent part from the impact factor corrections in large-k dijet production. Using the irreducible part previously…

高能物理 - 唯象学 · 物理学 2009-10-31 Marcello Ciafaloni , Gianni Camici

We discuss a very general theory of gravity, of which Lagrangian is an arbitrary function of the curvature invariants, on the brane. In general, the formulation of the junction conditions (except for Euler characteristics such as…

高能物理 - 理论 · 物理学 2014-11-20 Mariusz P. Dabrowski , Adam Balcerzak

Kwiecinski, Martin, Stasto [13] argue for inclusion of DGLAP terms into BFKL evolution of unintegrated gluon density. The equation was reformulated by Oliveira, Martin, Ryskin [6] employing the opening angle {\theta} = k/xp as the evolution…

高能物理 - 唯象学 · 物理学 2015-03-11 Dawid Toton

The $F_2$, $F_G$, $R = F_L/F_T$ proton structure functions are derived in the QCD dipole picture. Assuming $k_T$ and renormalization-group factorization, we relate deep-inelastic proton scattering to deep-inelastic onium scattering. We get…

高能物理 - 唯象学 · 物理学 2008-11-26 H. Navelet , R. Peschanski , Ch. Royon , S. Wallon

We study boundary conditions for the bosonic, spinning (NSR) and Green-Schwarz open string, as well as for 1+1 dimensional supergravity. We consider boundary conditions that arise from (1) extremizing the action, (2) BRST, rigid or local…

高能物理 - 理论 · 物理学 2010-12-03 Ulf Lindstrom , Martin Rocek , Peter van Nieuwenhuizen

Foundation models have achieved remarkable success, yet their growing parameter counts pose significant computational and memory challenges. Low-rank factorization offers a promising route to reduce training and inference costs, but the…

机器学习 · 计算机科学 2026-02-16 Paul Janson , Edouard Oyallon , Eugene Belilovsky

We extend the lattice gauge theory-type derivation of the Barrett-Crane spin foam model for quantum gravity to other choices of boundary conditions, resulting in different boundary terms, and re-analyze the gluing of 4-simplices in this…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Daniele Oriti

We show that the form of the recently proposed subleading soft graviton and gluon theorems in any dimension are severely constrained by elementary arguments based on Poincar\'e and gauge invariance as well as a self-consistency condition…

高能物理 - 理论 · 物理学 2014-09-24 Johannes Broedel , Marius de Leeuw , Jan Plefka , Matteo Rosso

We derive the rapidity evolution equation for the gluon four-point function in the dilute regime and at small x from the JIMWLK functional equation. We show that beyond leading order in Nc the mean field (Gaussian) approximation where the…

高能物理 - 唯象学 · 物理学 2010-05-25 Adrian Dumitru , Jamal Jalilian Marian

The next-to-leading order (NLO) ($\mathcal{O}(\alpha_s^3)$) corrections for gluon fragmentation functions to a heavy quark-antiquark pair in ${^{3}\hspace{-0.6mm}P_{J}^{[1,8]}}$ states are calculated within the NRQCD factorization. We use…

高能物理 - 唯象学 · 物理学 2020-11-11 Peng Zhang , Ce Meng , Yan-Qing Ma , Kuang-Ta Chao