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Related papers: The QCD Potential at $O(1/m)$

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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

We study the low energy behavior of QCD Green functions in the limit that the baryon chemical potential is much larger than the QCD scale parameter $\Lambda_QCD$. We show that there is a systematic low energy expansion in powers of…

High Energy Physics - Phenomenology · Physics 2009-11-11 Thomas Schafer , Kai Schwenzer

We derive a full formula for the energy level of a heavy quarkonium state identified by the quantum numbers $n$, $\ell$, $s$ and $j$, up to ${\cal O}(\alpha_s^5 m)$ and ${\cal O}(\alpha_s^5 m \log \alpha_s)$ in perturbative QCD. The QCD…

High Energy Physics - Phenomenology · Physics 2017-04-03 Y. Kiyo , Y. Sumino

We review two-dimensional QCD. The report contains: 1. Introduction. 2. QCD$_2$ as a field theory 2.1 The 1/N expansion and spectrum, 2.2 Ambiguity in the self-energy of the quark, 2.3 Polyakov--Wiegmann formula and gauge interactions, 2.4…

High Energy Physics - Theory · Physics 2014-11-18 E. Abdalla , M. C. B. Abdalla

We compute the static energy of QCD at short distances at next-to-next-to-next-to leading-logarithmic accuracy in terms of the three-loop singlet potential. By comparing our results with lattice data we extract the value of the unknown…

High Energy Physics - Phenomenology · Physics 2009-09-02 Nora Brambilla , Xavier Garcia i Tormo , Joan Soto , Antonio Vairo

We extend to regular QCD the derivation of a confining $ q \bar{q}$ Bethe--Salpeter equation previously given for the simplest model of scalar QCD in which quarks are treated as spinless particles. We start from the same assumptions on the…

High Energy Physics - Phenomenology · Physics 2014-11-17 N. Brambilla , E. Montaldi , G. M. Prosperi

It is well known that effective potentials can be gauge-dependent while their values at extrema should be gauge-invariant. Unfortunately, establishing this invariance in perturbation theory is not straightforward, since contributions from…

High Energy Physics - Phenomenology · Physics 2015-06-22 Anders Andreassen , William Frost , Matthew D. Schwartz

We perform an analysis of the one- and two-loop massive quark form factor in QED in a region expansion, up to next-to-leading power in the quark mass. This yields an extensive set of regional integrals, categorized into three topologies,…

High Energy Physics - Phenomenology · Physics 2024-04-09 Jaco ter Hoeve , Eric Laenen , Coenraad Marinissen , Leonardo Vernazza , Guoxing Wang

We consider the higher-derivative Lorentz-breaking extension of QED, where the new terms are the Myers-Pospelov-like ones in gauge and spinor sectors, and the higher--derivative CFJ term. For this theory, we study its tree-level dynamics,…

High Energy Physics - Theory · Physics 2019-05-14 T. Mariz , J. R. Nascimento , A. Yu. Petrov , C. Marat Reyes

Perturbative QCD has made significant progress over the last few decades. In the first part, we present an introductory overview of perturbative QCD as seen from a modern viewpoint. We explain the relation between purely perturbative…

High Energy Physics - Phenomenology · Physics 2014-07-22 Y. Sumino

I review the calculation of the next-to-leading order behavior of high-energy amplitudes in N=4 SYM and QCD using the operator expansion in Wilson lines.

High Energy Physics - Phenomenology · Physics 2015-03-13 Ian Balitsky

We argue for essential upgrading of the defining equations (9.5) and (9.6) in Section 9.2 "The QCD coupling ... " of PDG review and their use for data analysis in the light of recent development of the QCD theory. Our claim is twofold.…

High Energy Physics - Phenomenology · Physics 2009-11-11 D. V. Shirkov

The Pomeron loop amplitude and the amplitude for the diagram with any general number of loops is derived in the QCD dipole approach. It was found that the major contribution to the amplitude of an arbitrary Pomeron enhanced diagram, is…

High Energy Physics - Phenomenology · Physics 2009-09-15 J. Miller

Bound state perturbation theory is well established for QED atoms. Today the hyperfine splitting of Positronium is known to $O(\alpha^7\log\alpha)$. Whereas standard expansions of scattering amplitudes start from free states, bound states…

High Energy Physics - Phenomenology · Physics 2022-02-16 Paul Hoyer

We set up a general scheme to resum ladder diagrams for the quark-anti-quark potential in N=4 super-Yang-Mills theory, and do explicit calculations at the next-to-leading order. The results perfectly agree with string theory in AdS(5)xS(5)…

High Energy Physics - Theory · Physics 2015-06-05 D. Bykov , K. Zarembo

We present a computation of the one-loop QCD corrections to top-quark pair production in association with a $W$ boson, including terms up to order $\varepsilon^2$ in dimensional regularization. Providing a first glimpse into the complexity…

High Energy Physics - Phenomenology · Physics 2025-11-05 Matteo Becchetti , Maximilian Delto , Sara Ditsch , Philipp Alexander Kreer , Mattia Pozzoli , Lorenzo Tancredi

The leading order coefficients of the beta-function of QCD are computed in a large N_f expansion. They are in agreement with the three loop MSbar calculation. The method involves computing the anomalous dimension of the operator (G^2_{mu…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. A. Gracey

We present a new calculation of the CP violation parameter $\epsilon^{\prime}/ \epsilon$. The results reported in this paper have been obtained by using the $\Delta S=1$ effective Hamiltonian computed at the next-to-leading order, including…

High Energy Physics - Phenomenology · Physics 2010-11-01 M. Ciuchini , E. Franco , G. Martinelli , L. Reina

Lattice QCD with Wilson quarks and a chirally twisted mass term (tmQCD) has been introduced in refs. [1,2]. We here apply Symanzik's improvement programme to this theory and list the counterterms which arise at first order in the lattice…

High Energy Physics - Lattice · Physics 2010-02-03 Roberto Frezzotti , Stefan Sint , Peter Weisz

An exactly soluble non-perturbative model of the pure gauge QCD is derived as a weak coupling limit of the lattice theory in plaquette formulation. The model represents QCD as a theory of the weakly interacting field strength fluxes. The…

High Energy Physics - Theory · Physics 2009-10-30 B. Rusakov
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