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Perturbation techniques can be used as an alternative to supercomputer calculations in calculating gravitational radiation emitted by colliding black holes, provided the process starts with the black holes close to each other. We give a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hans-Peter Nollert , John Baker , Richard Price , Jorge Pullin

The use of conformal expansions for predictions in quantum chromodynamics is discussed as a way to avoid renormalization scheme and scale ambiguities, as well as factorial growth of perturbative coefficients due to renormalons. Special…

High Energy Physics - Phenomenology · Physics 2007-05-23 Johan Rathsman

We summarize the current status of our understanding of the structure of the perturbative QCD expressions for the QCD generalization of the Crewther relation.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. L. Kataev

The QCD coupling $\alpha_s$ is the most important parameter for achieving precise QCD predictions. By using the well measured effective coupling $\alpha^{g_1}_{s}(Q)$ defined from the Bjorken sum rules as a basis, we suggest a novel and…

High Energy Physics - Phenomenology · Physics 2022-06-22 Qing Yu , Hua Zhou , Xu-Dong Huang , Jian-Ming Shen , Xing-Gang Wu

Searches for new physics will increasingly depend on identifying deviations from precision Standard Model (SM) predictions. Quantum Chromodynamics (QCD) will necessarily play a central role in this endeavor as it provides the framework for…

High Energy Physics - Phenomenology · Physics 2016-04-20 Aleksander Kusina , Florian Lyonnet , Fredrick I. Olness , Ingo Schienbein

The coefficient of determination is well defined for linear models and its extension is long wanted for mixed-effects models. We revisit its extension to define measures for proportions of variation explained by the whole model, fixed…

Methodology · Statistics 2022-05-04 Dabao Zhang

Toponium production at future hadron colliders is investigated. Perturbative QCD corrections to the production cross section for gluon fusion are calculated as well as the contributions from gluon-quark and quark-antiquark collisions to the…

High Energy Physics - Phenomenology · Physics 2011-07-19 J. H. K"uhn , E. Mirkes

We consider the problem of prescribing the $Q_{\ gamma}$ curvature on $\mathbb{S}^n$. Using a perturbation method, we obtain existence results for curvatures close to a positive constant.

Analysis of PDEs · Mathematics 2013-08-06 Guoyuan Chen , Youquan Zheng

We present a new QCD event generator for hadron collider which can calculate one-, two- and three-jet cross sections at next-to-leading order accuracy. In this letter we study the transverse energy spectrum of three-jet hadronic events…

High Energy Physics - Phenomenology · Physics 2011-05-05 Zoltan Nagy

We include the full second-order corrections to the static QCD potential in the analysis of the ttbar threshold cross section. There is an unexpectedly large difference between the QCD potential improved by the renormalization-group…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Jezabek , J. H. Kuhn , M. Peter , Y. Sumino , T. Teubner

Quantum chromodynamics (QCD) is the theory of the strong interaction. The fundamental particles of QCD, quarks and gluons, carry colour charge and form colourless bound states at low energies. The hadronic bound states of primary interest…

High Energy Physics - Phenomenology · Physics 2020-03-26 Yarin Gal , Vishnu Jejjala , Damian Kaloni Mayorga Pena , Challenger Mishra

Starting from a semiclassical approach recently developed for spectral correlation functions of quantum systems whose classical dynamics is chaotic, we focus on the case of broken time-reversal symmetry, the so-called unitary class. We…

Chaotic Dynamics · Physics 2018-11-14 Sebastian Müller , Marcel Novaes

A key issue in making precise predictions in QCD is the uncertainty in setting the renormalization scale $\mu_R$ and thus determining the correct values of the QCD running coupling $\alpha_s(\mu_R^2)$ at each order in the perturbative…

High Energy Physics - Phenomenology · Physics 2023-11-30 Leonardo Di Giustino , Stanley J. Brodsky , Philip G. Ratcliffe , Xing-Gang Wu , Sheng-Quan Wang

The transverse momentum ($p_T$) distribution of Higgs bosons at hadron colliders enables a detailed probe of its production dynamics and is a key ingredient to precision studies of Higgs boson properties, but receives very large QCD…

High Energy Physics - Phenomenology · Physics 2018-12-05 Xuan Chen , Thomas Gehrmann , E. W. Nigel Glover , Alexander Huss , Ye Li , Duff Neill , Markus Schulze , Iain W. Stewart , Hua Xing Zhu

An outline is given of an extended perturbative solution of Euclidean QCD which systematically accounts for a class of nonperturbative effects, while allowing renormalization by the perturbative counterterms. Proper vertices Gamma are…

High Energy Physics - Theory · Physics 2014-11-18 M. Stingl

We describe in detail the implementation of a systematic perturbative approach to observables in the QCD gradient-flow formalism. This includes a collection of all relevant Feynman rules of the five-dimensional field theory and the…

High Energy Physics - Lattice · Physics 2022-10-12 Johannes Artz , Robert V. Harlander , Fabian Lange , Tobias Neumann , Mario Prausa

Our calculation of the total cross section for inclusive production of $t\bar{t}$ pairs in hadron collisions is summarized. The principal ingredient of this calculation is resummation of the universal leading-logarithm effects of gluon…

High Energy Physics - Phenomenology · Physics 2008-02-03 Edmond L. Berger , Harry Contopanagos

An attempt is made in QCD to explain the growth of total cross-sections with energy, without violating the Froissart bound. This is achieved by computing the phase shifts of elastic scatterings of partons rather than their amplitudes. To…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. S. Lam

In contrast to perturbative QCD, the analytic QCD models have running coupling whose analytic properties correctly mirror those of spacelike observables. The discontinuity (spectral) function of such running coupling is expected to agree…

High Energy Physics - Phenomenology · Physics 2012-07-04 César Ayala , Carlos Contreras , Gorazd Cvetič

We compare two approaches to the description of pion Compton scattering at moderate momentum transfer, one being based on local duality QCD sum rules for the invariant amplitudes of the process, which have been derived recently, and the…

High Energy Physics - Phenomenology · Physics 2010-11-01 Claudio Coriano' , Hsiang-nan Li
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