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An approximation algorithm is proposed to transform truncated QCD (or QED) series for observables. The approximation is a modification of the Baker-Gammel approximants, and is independent of the renormalization scale (RScl) $\mu$ -- the…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Cvetic

The predictive power of perturbative QCD (pQCD) depends on two important issues: (1) how to eliminate the renormalization scheme-and-scale ambiguities at fixed order, and (2) how to reliably estimate the contributions of unknown…

High Energy Physics - Phenomenology · Physics 2019-03-27 Bo-Lun Du , Xing-Gang Wu , Jian-Ming Shen , Stanley J. Brodsky

A general strategy to solve the non-perturbative renormalization problem in lattice QCD, using finite-size techniques and numerical simulations, is described. As an illustration we discuss the computation of the axial current normalization…

High Energy Physics - Lattice · Physics 2009-10-28 Karl Jansen , Chuan Liu , Martin Luescher , Hubert Simma , Stefan Sint , Rainer Sommer , Peter Weisz , Ulli Wolff

Recent consensus on the $N_f=2+1$ equation of state at vanishing chemical potential from different lattice-QCD groups has spoiled the previous agreement with the outcome from the mean-field Polyakov-Nambu-Jona-Lasinio model. In this letter…

Nuclear Theory · Physics 2017-04-28 Juan M. Torres-Rincon , Joerg Aichelin

The recent result on the third order correction to the Higgs boson production through gluon fusion by Anastasiou et al. [1] not only provides a precise prediction with reduced scale uncertainties for studying the Higgs boson properties but…

High Energy Physics - Phenomenology · Physics 2015-05-28 Taushif Ahmed , Goutam Das , M. C. Kumar , Narayan Rana , V. Ravindran

We compare our previously proposed hard-thermal-loop (HTL) resummed calculation of quark number susceptibilities using a self-consistent two-loop approximation to the quark density with a recent calculation of the same quantity at the…

High Energy Physics - Phenomenology · Physics 2011-09-13 J. -P. Blaizot , E. Iancu , A. Rebhan

We propose a new strategy for the determination of the QCD coupling. It relies on a coupling computed in QCD with $N_{\rm f} \geq 3$ degenerate heavy quarks at a low energy scale $\mu_{\rm dec}$, together with a non-perturbative…

High Energy Physics - Lattice · Physics 2020-06-24 Mattia Dalla Brida , Roman Höllwieser , Francesco Knechtli , Tomasz Korzec , Alberto Ramos , Rainer Sommer

We present a renormalization-group (RG) improved prediction for $750$ GeV heavy state production recently seen as the diphoton excess at the LHC. Due to the universality of QCD feature in the threshold region, our result provides reasonable…

High Energy Physics - Phenomenology · Physics 2016-03-24 Xiaohui Liu , Hong Zhang

We calculate the thermodynamic functions of pure-glue QCD to three-loop order using the hard-thermal-loop perturbation theory (HTLpt) reorganization of finite temperature quantum field theory. We show that at three-loop order…

High Energy Physics - Phenomenology · Physics 2010-09-16 Jens O. Andersen , Nan Su , Michael Strickland

From statistical mechanics the trace of the thermal average of any energy-momentum tensor is $\langle T^{\mu}_{\;\;\mu}\rangle =T\partial P/\partial T-4P$. The renormalization group formula $\langle T^{\mu}_{\;\;\mu}\rangle…

High Energy Physics - Theory · Physics 2022-11-30 H. Arthur Weldon

We discuss the resummation approach in QCD Analytic Perturbation Theory (APT). We start with a simple example of asymptotic power series for a zero-dimensional analog of the scalar $g\,\phi^4$ model. Then we give a short historic preamble…

High Energy Physics - Phenomenology · Physics 2012-01-10 Alexander P. Bakulev , Irina V. Potapova

The next-to-leading order (NLO) QCD radiative corrections to W+W- production at hadron colliders are well understood. We combine NLO perturbative QCD calculations with soft-gluon resummation of threshold logarithms to find a next-to-next-to…

High Energy Physics - Phenomenology · Physics 2013-09-27 S. Dawson , Ian M. Lewis , Mao Zeng

Recently, the CMS and ATLAS Collaborations at the CERN Large Hadron Collider (LHC) have set exclusion limits on the quark compositeness scale by comparing their data to the leading order and the scaled next-to-leading order (NLO) QCD…

High Energy Physics - Phenomenology · Physics 2011-04-20 Jun Gao , Chong Sheng Li , Jian Wang , Hua Xing Zhu , C. -P. Yuan

We present the exact next-to-leading order (NLO) QCD corrections to dijet production at the LHC via quark contact interactions, with different color and chiral structures induced from new physics. Following the recent analysis of quark…

High Energy Physics - Phenomenology · Physics 2015-06-04 Jun Gao , Chong Sheng Li , C. -P. Yuan

Potential non-relativistic QCD provides a convenient framework to study the three heavy-quark system. We have studied its symmetries under exchange of the heavy quarks and determined the leading ultrasoft contributions to the singlet static…

High Energy Physics - Phenomenology · Physics 2013-01-18 Felix Karbstein

In this paper, we calculate the next-to-next-to-leading-order (NNLO) QCD corrections to $e^+e^- \to J/\psi+\eta_c$ at the $B$ factories. After including the NNLO corrections, the cross section of $e^+e^- \to J/\psi+\eta_c$ is enhanced by…

High Energy Physics - Phenomenology · Physics 2023-02-08 Xu-Dong Huang , Bin Gong , Jian-Xiong Wang

The hard-thermal-loop perturbation theory (HTLpt) framework is used to calculate the thermodynamic functions of a quark-gluon plasma to three-loop order. This is the highest order accessible by finite temperature perturbation theory applied…

High Energy Physics - Phenomenology · Physics 2015-03-19 Jens O. Andersen , Lars E. Leganger , Michael Strickland , Nan Su

In this proceedings we briefly report on the state-of-the-art NLO QCD computation for the $pp\to t\bar{t}\gamma$ process in the di-lepton channel. We describe higher-order corrections to the $e^+\nu_e \, \mu^- \bar{\nu}_\mu \,…

High Energy Physics - Phenomenology · Physics 2021-01-20 Malgorzata Worek

A methodology is given to test the QCD $N_f$=2 chiral transition, presently conjectured to be second order. Scaling forms for the correlation length, susceptibilities and equation of state are given which account for finite lattice spacing.…

High Energy Physics - Phenomenology · Physics 2015-06-25 Arjun Berera

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