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Related papers: A Precise $\alpha_s$ Determination from the R-impr…

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Energy correlators provide a powerful observable to study fragmentation dynamics in QCD. We demonstrate that the leading nonperturbative corrections for projected $N$-point energy correlators are described by the same universal parameter…

High Energy Physics - Phenomenology · Physics 2024-12-12 Kyle Lee , Aditya Pathak , Iain Stewart , Zhiquan Sun

The conventional approach to fixed-order perturbative QCD predictions is based on an arbitrary choice of the renormalization scale, together with an arbitrary range. This {\it ad hoc} assignment of the renormalization scale causes the…

High Energy Physics - Phenomenology · Physics 2019-12-19 Xing-Gang Wu , Jian-Ming Shen , Bo-Lun Du , Xu-Dong Huang , Sheng-Quan Wang , Stanley J. Brodsky

In the lattice approach to Loop Quantum Gravity on a fixed graph computations tend to be involved and are rarely analytically manageable. But, when interested in the expectation values of coherent states on the lattice which are sharply…

General Relativity and Quantum Cosmology · Physics 2021-11-01 Klaus Liegener , Łukasz Rudnicki

The perturbatively-stable scheme of Next-to-Leading order (NLO) calculations of cross-sections for multi-scale hard-processes in DIS-like kinematics is developed in the framework of High-Energy Factorization. The evolution equation for…

High Energy Physics - Phenomenology · Physics 2020-08-14 Maxim Nefedov

We propose an evolution equation for unintegrated gluon densities that is valid for large values of the QCD coupling constant $\bar{\alpha} _s$. Our approach is based on the linear resummation model introduced by Sta\'{s}to. We generalize…

High Energy Physics - Phenomenology · Physics 2014-02-04 Krzysztof Kutak , Piotr Surówka

The heavy-quark mass and wave function renormalizations, energy shift, and radiative corrections to two important couplings, the so-called kinetic couplings, in nonrelativistic lattice QCD are determined to leading order in tadpole-improved…

High Energy Physics - Lattice · Physics 2010-11-01 Colin J. Morningstar

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

We compute 1-loop correction E_1 to the energy of folded string in AdS_5 x S^5 (carrying spin S in AdS_5 and momentum J in S^5) using ``long string'' approximation in which S >> J >> 1. According to AdS/CFT E_1 should represent the first…

High Energy Physics - Theory · Physics 2008-11-26 S. Frolov , A. Tirziu , A. A. Tseytlin

We describe the coupling of the strong force. Denoted as $\alpha_s$, it sets the strength of that force, just as $G$ or $\alpha$ specify the strength of the gravity and electromagnetism. Its value depends on the scale at which phenomena are…

High Energy Physics - Phenomenology · Physics 2025-10-22 A. Deur

We present a determination of the strong coupling constant $\alpha_s(m_Z)$ using inclusive top-quark pair production cross section measurements performed at the LHC and at the Tevatron. Following a procedure first applied by the CMS…

High Energy Physics - Phenomenology · Physics 2017-12-06 Thomas Klijnsma , Siegfried Bethke , Günther Dissertori , Gavin P. Salam

We examine the large-order behaviour of a recently proposed renormalization-group-improved expansion of the Adler function in perturbative QCD, which sums in an analytically closed form the leading logarithms accessible from…

High Energy Physics - Phenomenology · Physics 2013-01-08 Gauhar Abbas , B. Ananthanarayan , Irinel Caprini , Jan Fischer

We compute the QCD static force and potential using gradient flow at next-to-leading order in the strong coupling. The static force is the spatial derivative of the static potential: it encodes the QCD interaction at both short and long…

High Energy Physics - Phenomenology · Physics 2022-02-02 Nora Brambilla , Hee Sok Chung , Antonio Vairo , Xiang-Peng Wang

A systematic analysis of the Burgers--Kardar--Parisi--Zhang equation in $d+1$ dimensions by dynamic renormalization group theory is described. The fixed points and exponents are calculated to two--loop order. We use the dimensional…

Condensed Matter · Physics 2011-12-08 Erwin Frey , Uwe Claus Täuber

The cold and dense QCD equation of state (EoS) at high baryon chemical potential $\mu_B$ involves at order $\alpha^2_S$ an all-loop summation of the soft mode $m_E\sim \alpha_S^{1/2} \mu_B$ contributions. Recently, the complete soft…

High Energy Physics - Phenomenology · Physics 2022-11-30 Loïc Fernandez , Jean-Loïc Kneur

We present a comprehensive study of high-energy double logarithms in inclusive DIS. They appear parametrically as alpha_s^n ln^{2n-k} x at the n-th order in perturbation theory in the splitting functions for the parton evolution and the…

High Energy Physics - Phenomenology · Physics 2022-09-07 J. Davies , C. -H. Kom , S. Moch , A. Vogt

The frozen QCD coupling is a parameter often used as an effective fixed coupling. It is supposed to mimic both the running coupling effects and the lack of knowledge of alpha_s in the infrared region. Usually the value of the frozen…

High Energy Physics - Phenomenology · Physics 2013-02-21 B. I. Ermolaev , M. Greco , S. I. Troyan

We report on very strong evidence of the occurrence of power terms in $\as(p)$, the QCD running coupling constant in the $\widetilde{MOM}$ scheme, by analyzing non-perturbative measurements from the lattice three-gluon vertex between 2.0…

High Energy Physics - Phenomenology · Physics 2010-03-19 Ph. Boucaud , G. Burgio , F. Di Renzo , J. P. Leroy , J. Micheli , C. Parrinello , O. Pène , C. Pittori , J. Rodríguez-Quintero , C. Roiesnel , K. Sharkey

Calculations of the two-loop electron self-energy for the $1S$ Lamb shift are reported, performed to all orders in the nuclear binding strength parameter $Z\alpha$ (where $Z$ is the nuclear charge number and $\alpha$ is the fine structure…

Atomic Physics · Physics 2025-01-08 V. A. Yerokhin , Z. Harman , C. H. Keitel

We give an analysis of the stability and displacement error for linear and circular atomistic chains in the plane when the atomistic energy is approximated by the Cauchy-Born continuum energy and by the quasi-nonlocal atomistic-to-continuum…

Numerical Analysis · Mathematics 2011-05-24 Pavel Belik , Mitchell Luskin

The QCD corrections to the R_{\tau}^{12} moment of the invariant mass distribution in hadronic decays of the tau lepton are discussed. The next-to-next-to-leading order prediction is shown to be stable with respect to change of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Piotr A. Raczka