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In the last three decades, Numerical Stochastic Perturbation Theory (NSPT) has proven to be an excellent tool for calculating perturbative expansions in theories such as Lattice QCD, for which standard, diagrammatic perturbation theory is…

High Energy Physics - Lattice · Physics 2025-02-05 P. Baglioni , F. Di Renzo

We study the decay of hadrons based on a semiclassical string model. By including quark mass effects we find that the width to mass ratio $\G/m$ is an increasing function of $m$, which increases most rapidly for massive quarks. This is…

High Energy Physics - Phenomenology · Physics 2010-11-01 K. S. Gupta , C. Rosenzweig

The 1/N_c expansion of QCD provides a valuable semiquantitative tool to study baryon scattering amplitudes and the short-lived baryon resonances embedded within them. A generalization of methods originally applied in chiral soliton models…

High Energy Physics - Phenomenology · Physics 2017-08-23 Richard F. Lebed

We consider a class of theories involving an extension of the Standard Model gauge group to an {\it a priori} arbitrary number of colors, $N_c$, and derive constraints on $N_c$. One motivation for this is the string theory landscape. For…

High Energy Physics - Theory · Physics 2008-11-26 Robert Shrock

The QCD sum rules in the large-$N_c$ limit for the light non-strange vector, axial and scalar mesons are considered assuming a string-like linear spectrum for the radially excited states. We propose a improved method for combined analysis…

High Energy Physics - Phenomenology · Physics 2016-12-13 S. S. Afonin , T. D. Solomko

The free string spectrum is highly degenerate, with a degeneracy that grows exponentially with the mass. Turning on a non-vanishing string coupling $g_s$ introduces interactions, rendering massive string states unstable and allowing them to…

High Energy Physics - Theory · Physics 2026-03-31 Lorenzo Grimaldi , Massimo Bianchi , Maurizio Firrotta

We develop a new systematic procedure for the Regge limit in perturbative QCD to arbitrary logarithmic order. The formalism relies on the IR structure and the gauge symmetry of the theory. We identify leading regions in loop momentum space…

High Energy Physics - Phenomenology · Physics 2009-11-10 Tibor Kucs

The single renormalon-chain contribution to the correlator of scalar currents in QCD is calculated in the $\bar{MS}$-scheme in the limit of a large $N_f$. We find that in the factorial growth of the coefficients due to renormalons takes…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. J. Broadhurst , A. L. Kataev , C. J. Maxwell

Nucleon structure functions can be observed in Deep Inelastic Scattering experiments, but it is an outstanding challenge to confront them with fully non-perturbative QCD results. For this purpose we investigate the product of…

High Energy Physics - Lattice · Physics 2010-11-05 W. Bietenholz , N. Cundy , M. Goeckeler , R. Horsley , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , T. Streuer , J. M. Zanotti

We consider a recursive scheme for defining the coefficients in the operator product expansion (OPE) of an arbitrary number of composite operators in the context of perturbative, Euclidean quantum field theory in four dimensions. Our…

Mathematical Physics · Physics 2016-01-13 Jan Holland , Stefan Hollands

We study the emergence of partonic behavior in scattering processes at large Mandelstam's variable $s$ from string amplitudes in holographic backgrounds. We generalize the approach of Polchinski and Strassler (2001) in two ways. (i) We…

High Energy Physics - Theory · Physics 2022-05-17 Massimo Bianchi , Maurizio Firrotta , Jacob Sonnenschein , Dorin Weissman

In previous works, a squared mass operator M^2 and a more common centre of frame Hamiltonian H_CM for the quark-antiquark system were obtained by using the only assumption that ln W (W being the Wilson loop correlator) can be written in QCD…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Baldicchi

We consider deep inelastic scattering in the 't Hooft model. Being solvable, this model allows us to directly compute the moments associated with the cross section at next-to-leading order in the 1/Q^2 expansion. We perform the same…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jorge Mondejar , Antonio Pineda

We extend the analysis of KLWMIJ evolution in terms of QCD Reggeon fields beyond leading order in the $1/N_c$ expansion. We show that there is only one type of corrections to the leading order Hamiltonian discussed in \cite{last}. These are…

High Energy Physics - Phenomenology · Physics 2015-06-18 Tolga Altinoluk , Néstor Armesto , Alex Kovner , Eugene Levin , Michael Lublinsky

We consider quenched random perturbations of skew products of rotations on the unit circle over uniformly expanding maps on the unit circle. It is known that if the skew product satisfies a certain condition (shown to be generic in the case…

Dynamical Systems · Mathematics 2015-03-03 Yushi Nakano , Jens Wittsten

The relation between the quark-gluon description of QCD and the hadronic picture is studied up to order alpha_s. The analysis of the spin-1 correlators is developed within the large NC framework. Both representations are shown to be…

High Energy Physics - Phenomenology · Physics 2009-11-11 J. J. Sanz-Cillero

We review the basic aspects of the perturbative QCD based on the operator product expansion to analyze the nucleon structure functions in a pedagogical way. We explain the non-trivial relation between the QCD results and the parton model…

High Energy Physics - Phenomenology · Physics 2016-09-01 J. Kodaira

The known analytic properties of the Compton amplitude at small $Q^2$ place significant constraints on its behaviour at large $Q^2$. This calls for a re-evaluation of the role of perturbative evolution in past fits to data.

High Energy Physics - Phenomenology · Physics 2014-11-17 J R Cudell , A Donnachie , P V Landshoff

In this article, we initiate the study of operator product expansions (OPEs) for the sine-Gordon model. For simplicity, we focus on the model below the first threshold of collapse ($\beta<4\pi$) and on the singular terms in OPEs of…

Mathematical Physics · Physics 2026-05-08 Alex Karrila , Tuomas Virtanen , Christian Webb

We present a sum-rule extraction of the decay constants of heavy-light mesons from the two-point correlator of pseudoscalar currents. To this end, we compare the perturbative expansions for the correlator and the decay constant performed in…

High Energy Physics - Phenomenology · Physics 2011-04-07 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula