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

200 papers

Recent progress in our understanding of infrared singularities of multi-parton amplitudes has shown that the simplest form of Regge factorization for high-energy gauge-theory amplitudes fails starting at next-to-next-to-leading logarithmic…

High Energy Physics - Phenomenology · Physics 2015-06-17 Vittorio Del Duca , Giulio Falcioni , Lorenzo Magnea , Leonardo Vernazza

We propose a method to determine the effective potential of QCD from the gap equation, by introducing the homotopy method between the solutions of the equation of motion. Via this method, the effective potential beyond the bare vertex…

High Energy Physics - Phenomenology · Physics 2024-05-06 Hui-wen Zheng , Yi Lu , Fei Gao , Si-xue Qin , Yu-xin Liu

We review recent progress in calculations of one-loop QCD amplitudes. By imposing the consistency requirements of unitarity and correct behavior as the momenta of two legs become collinear, we construct ansatze for one-loop amplitudes with…

High Energy Physics - Phenomenology · Physics 2008-02-03 Z. Bern , L. Dixon , D. Dunbar , D. A. Kosower

We present examples of on-shell recurrence relations for determining rational functions appearing in one-loop QCD amplitudes. In particular, we give relations for one-loop QCD amplitudes with all legs of positive helicity, or with one leg…

High Energy Physics - Theory · Physics 2010-11-15 Zvi Bern , Lance J. Dixon , David A. Kosower

The behaviour of the master field in ``induced QCD" near the edge of its support is studied. An extended scaling domain, where the shape of the master field is a universal function, is found. This function is determined explicitly for the…

High Energy Physics - Theory · Physics 2015-06-26 Andrei Matytsin , Alexander A. Migdal

QCD string is formed at the distances larger than the confinement scale and can be described by the Polchinski--Strominger effective string theory with a nonpolynomial action, which has nevertheless a well-defined semiclassical expansion…

High Energy Physics - Theory · Physics 2011-01-26 Yuri Makeenko

We study the three-quark static potential in perturbation theory in QCD. A complete next-to-leading order calculation is performed in the singlet, octets and decuplet channels and the potential exponentiation is demonstrated. The mixing of…

High Energy Physics - Phenomenology · Physics 2023-01-13 Nora Brambilla , Jacopo Ghiglieri , Antonio Vairo

We complete the calculation of the QCD penguin amplitude at next-to-next-to-leading order in the QCD factorization approach to non-leptonic B-meson decays. This provides the last missing piece in the computation of the QCD correction to…

High Energy Physics - Phenomenology · Physics 2020-05-20 Guido Bell , Martin Beneke , Tobias Huber , Xin-Qiang Li

We clarify the difference among potential models so far proposed to explain mass spectra of heavy-light mesons via transformations of the vacuum. Applying our idea to QQ-bar quarkonium, we obtain the extra term, 1/r^2 with positive…

High Energy Physics - Phenomenology · Physics 2009-12-25 T. Matsuki , X. Liu , T. Morii , K. Seo

Within an effective field theory framework we study heavy-quark--antiquark systems with a typical distance between the heavy quark and the antiquark smaller than $1/\Lambda_{\rm QCD}$. A suitable definition of the potential is given within…

High Energy Physics - Phenomenology · Physics 2015-06-25 N. Brambilla , A. Pineda , J. Soto , A. Vairo

We have calculated the one loop effective potential of the vector multiplets arising from the compactification to five dimensions of heterotic M-theory on a Calabi-Yau manifold with h^{1,1}>1. We find that extensive cancellations between…

High Energy Physics - Theory · Physics 2010-11-19 Ian G. Moss , James P. Norman

We elucidate the structure of the next-to-leading-power soft-gluon expansion of arbitrary one-loop massless-QCD amplitudes. The expansion is given in terms of universal colour-, spin- and flavour-dependent operators acting on…

High Energy Physics - Phenomenology · Physics 2023-12-22 Michał Czakon , Felix Eschment , Tom Schellenberger

We discuss the massive extension of the four-dimensional superfield QED. For this theory, we calculate the one-loop effective potential of the chiral matter.

High Energy Physics - Theory · Physics 2025-11-05 A. C. Lehum , J. R. Nascimento , A. Yu. Petrov

The author of this work have got explicit expressions for the timelike region at Next-to-Leading-Order (NLO) as for the coupling function so for QCD observables. These expressions were compared with approximate ones obtained in terms of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dmitri S. Kourashev

We report our exploratory study on the matching condition of HQET with QCD including 1/m corrections. We introduce a new observable from the dependence of the heavy-light effective energy on the twisted boundary condition parameter…

High Energy Physics - Lattice · Physics 2007-05-23 Shunsuke Negishi , Hideo Matsufuru , Tetsuya Onogi , Takashi Umeda

Taylor expansion of the equation of state of QCD suffers from shortcomings at chemical potentials $\mu_B \geq (2-2.5)T$. First, one faces difficulties inherent in performing such an expansion with a limited number of coefficients; second,…

High Energy Physics - Lattice · Physics 2021-06-16 S. Borsanyi , Z. Fodor , J. N. Guenther , R. Kara , S. D. Katz , P. Parotto , A. Pasztor , C. Ratti , K. K. Szabo

The nucleon-nucleon potential is analysed using the 1/N_c expansion of QCD. The NN potential is shown to have an expansion in 1/N_c^2, and the strengths of the leading order central, spin-orbit, tensor, and quadratic spin-orbit forces…

Nuclear Theory · Physics 2008-11-26 David B. Kaplan , Aneesh V. Manohar

The static Coulomb potential of Quantum Electrodynamics (QED) is calculated in the presence of a strong magnetic field in the lowest Landau level (LLL) approximation using two different methods. First, the vacuum expectation value of the…

High Energy Physics - Theory · Physics 2008-11-26 N. Sadooghi , A. Sodeiri Jalili

When the cancellation of the leading renormalon contributions is incorporated, the total energy of a b bbar system, E_{tot,bbbar}(r) = 2 m_{pole,b} + V_QCD(r), agrees well with the potentials used in phenomenological models for heavy…

High Energy Physics - Phenomenology · Physics 2009-11-07 Y. Sumino

Using the nonrelativistic effective field theory vNRQCD, we determine the contribution to the next-to-leading logarithmic (NLL) running of the effective quark-antiquark potential at order v (1/mk) from diagrams with one potential and two…

High Energy Physics - Phenomenology · Physics 2011-08-22 Andre H. Hoang , Maximilian Stahlhofen