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We present selected preliminary lattice gauge theory results for $O(1/m_Q)$ and $O(1/m_Q^2)$ corrections to the static potential. These results are based on Wilson loops with two field strength insertions, which we renormalize using…

High Energy Physics - Lattice · Physics 2024-11-19 Michael Eichberg , Marc Wagner

We analyze the Wilson loop for a pure Yang-Mills theory, using a decoupling solution in close agreement with lattice computations. At one-gluon exchange level it is seen that the potential cannot yield a linear rising contribution as…

High Energy Physics - Phenomenology · Physics 2012-12-04 Marco Frasca

We give a short overview of our work concerning the dimension two operator A^2 in the Landau gauge and its generalizations to other gauges. We conclude by discussing recent work that leads to a renormalizable gauge invariant action…

High Energy Physics - Theory · Physics 2008-11-26 D. Dudal , M. A. L. Capri , J. A. Gracey , V. E. R. Lemes , R. F. Sobreiro , S. P. Sorella , H. Verschelde

We compute a formula including OPE power corrections to describe the running of a QCD coupling non-perturbatively defined through the ghost and gluon dressing functions. This turns out to be rather accurate. We propose the ``{\it…

High Energy Physics - Phenomenology · Physics 2010-03-19 Ph. Boucaud , F. De Soto , J. P. Leroy , A. Le Yaouanc , J. Micheli , O. Pène , J. Rodríguez-Quintero

We present new one loop calculations that confirm the theorems of Joglekar and Lee on the renormalization of composite operators. We do this by considering physical matrix elements with the operators inserted at non-zero momentum. The…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. W. Harris , J. Smith

We calculate the Kahlerian and the lowest order non-Kahlerian contributions to the one loop effective superpotential using super-Feynman graphs in the massless Wess-Zumino Model, the massive Wess-Zumino Model and N=1, U(1) gauge theory. We…

High Energy Physics - Theory · Physics 2009-10-30 Austin Pickering , Peter West

We consider the two-point correlators of Yang-Mills theories at finite temperature in the Landau gauge. We employ a model for the corresponding Yang-Mills correlators based on the inclusion of an effective mass term for gluons. The latter…

High Energy Physics - Theory · Physics 2015-06-18 U. Reinosa , J. Serreau , M. Tissier , N. Wschebor

The generalization of the pinch technique beyond one loop is presented. It is shown that the crucial physical principles of gauge-invariance, unitarity, and gauge-fixing-parameter independence single out at two loops exactly the same…

High Energy Physics - Phenomenology · Physics 2009-10-31 Joannis Papavassiliou

A class of covariant gauges allowing one to interpolate between the Landau, the maximal Abelian, the linear covariant and the Curci-Ferrari gauges is discussed. Multiplicative renormalizability is proven to all orders by means of algebraic…

High Energy Physics - Theory · Physics 2009-11-11 D. Dudal , J. A. Gracey , V. E. R. Lemes , R. F. Sobreiro , S. P. Sorella , R. Thibes , H. Verschelde

We use geometric Landau analysis to determine the singularity structure of four-point, one-cycle negative geometries in $\mathcal{N}=4$ super-Yang-Mills theory, which represent certain contributions to the logarithm of the four-point…

High Energy Physics - Theory · Physics 2026-05-07 Shruti Paranjape , Marcos Skowronek , Marcus Spradlin , Anastasia Volovich , He-Chen Weng

We compute the ratio between the scale $\Lambda_L$ associated with a lattice formulation of QCD using the overlap-Dirac operator, and $\Lambda_{MS-bar}$. To this end, the one-loop relation between the lattice coupling $g_0$ and the coupling…

High Energy Physics - Lattice · Physics 2015-06-25 C. Alexandrou , E. Follana , H. Panagopoulos , E. Vicari

The off-shell two-loop correction to the massive quark propagator in an arbitrary covariant gauge is calculated and results for the bare and renormalized propagator are presented. The calculations were performed by means of a set of new…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Fleischer , F. Jegerlehner , O. V. Tarasov , O. L. Veretin

We present the full one-loop correction to the relation between the running MSbar Yukawa coupling, $\overline h_f(\mu)$, at some renormalization scale, $\mu$, and the pole mass, $m_f$, of a fermion, $f$, in the standard model. Our result…

High Energy Physics - Phenomenology · Physics 2009-10-28 Ralf Hempfling , Bernd A. Kniehl

In this paper, we present the calculations for $H\rightarrow f\bar{f}\gamma$ in the $U(1)_{B-L}$ extension for Standard Model. Analytic results for one-loop form factors in the decay process are expressed in terms of the scalar one-loop…

High Energy Physics - Phenomenology · Physics 2022-09-29 Khiem Hong Phan , Anh Thu Nguyen , Dzung Tri Tran

This article reviews on-shell methods for analytic computation of loop amplitudes, emphasizing techniques based on unitarity cuts. Unitarity techniques are formulated generally but have been especially useful for calculating one-loop…

High Energy Physics - Theory · Physics 2015-05-20 Ruth Britto

In view of the expectation that the existence of complex poles is a signal of confinement, we investigate the analytic structure of the gluon, quark, and ghost propagators in the Landau gauge QCD and QCD-like theories by employing an…

High Energy Physics - Theory · Physics 2020-05-28 Yui Hayashi , Kei-Ichi Kondo

The recently-developed "scalar-scaffolding" formulation of gluon amplitudes casts the Yang-Mills (YM) amplitude as a well-defined Laurent series expansion in scalar variables, valid for any spacetime dimension and helicity configuration. In…

High Energy Physics - Theory · Physics 2025-10-24 Jeffrey V. Backus

M\"obius invariance is used to construct gluon tree amplitudes in the Cachazo, He, and Yuan (CHY) formalism. If it is equally effective in steering the construction of off-shell tree amplitudes, then the S-matrix CHY theory can be used to…

High Energy Physics - Theory · Physics 2019-08-21 C. S. Lam

We determine the two loop correction to Gribov's mass gap equation for quantum chromodynamics in the Landau gauge in the MSbar scheme by computing the two loop correction to the horizon condition derived from Zwanziger's local…

High Energy Physics - Phenomenology · Physics 2014-11-18 J. A. Gracey

We present the publicly available program NGluon allowing the numerical evaluation of primitive amplitudes at one-loop order in massless QCD. The program allows the computation of one-loop amplitudes for an arbitrary number of gluons. The…

High Energy Physics - Phenomenology · Physics 2012-08-02 Simon Badger , Benedikt Biedermann , Peter Uwer