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Related papers: Low-Energy QCD and Ultraviolet Renormalons

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We point out that, contrary to existing claims of the opposite, Vainshtein's theorem on the non-renormalization of the correlator of an axial and two vector currents, is only valid in the chiral limit. When quarks, that contribute to the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Kirill Melnikov

We present a comprehensive investigation of leading-twist lightcone distribution amplitudes (LCDAs) and quasi distribution amplitudes (quasi-DAs) for light octet and decuplet baryons within large momentum effective theory. In LaMET, LCDAs…

High Energy Physics - Phenomenology · Physics 2024-07-08 Chao Han , Wei Wang , Jun Zeng , Jia-Lu Zhang

We calculate, within massless QCD, a two-point correlator of nonlocal (composite) vector quark currents with arbitrary-length chains of the simplest fermion loops being inserted into gluon lines. Within the large $n_f$ (or large $\beta_0$)…

High Energy Physics - Phenomenology · Physics 2023-05-31 S. V. Mikhailov , N. Volchanskiy

Recent developments showed that light-cone parton distributions can be studied by investigating the large momentum limit of the hadronic matrix elements of spacelike correlators, which are known as quasi parton distributions. Like a…

High Energy Physics - Phenomenology · Physics 2015-08-12 Xiangdong Ji , Jian-Hui Zhang

We give a brief review of the current understanding of renormalons of the static QCD potential in coordinate and momentum spaces. We also reconsider estimate of the normalization constant of the $u=3/2$ renormalon and propose a new way to…

High Energy Physics - Phenomenology · Physics 2021-09-01 Hiromasa Takaura

We perform a complete one-loop renormalization analysis of CPT-odd Lorentz-violating scalar quantum chromodynamics with adjoint scalar matter. Working to first order in the preferred background vector and treating the corresponding…

High Energy Physics - Theory · Physics 2026-05-04 J. C. C. Felipe , L. C. T. Brito , A. C. Lehum , B. Altschul , A. Yu. Petrov

We report recent progress on the development of a local renormalisation formalism based on causal loop-tree duality (cLTD). By performing an expansion around the UV-propagator in an Euclidean space, we manage to build counter-terms to…

High Energy Physics - Phenomenology · Physics 2024-09-09 German Sborlini , Jose Rios-Sanchez

We analyze the large-order behaviour in perturbation theory of classes of diagrams with an arbitrary number of chains (i.e. photon lines, dressed by vacuum polarization insertions). We derive explicit formulae for the leading and subleading…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Beneke , V. A. Smirnov

We study the origin of non-analyticity in \alpha_s of a short-distance QCD observable to demonstrate that the infrared renormalons, the same-sign factorial growth of the perturbative expansion, is a universal phenomenon that originates…

High Energy Physics - Phenomenology · Physics 2009-10-28 Yu. L. Dokshitzer , N. G. Uraltsev

When an asymptotically non-free theory possesses a mass parameter, the ultraviolet (UV) renormalon gives rise to non-perturbative contributions to dimension-four operators and dimensionless couplings, thus has a similar effect as the…

High Energy Physics - Theory · Physics 2009-10-30 Hiroshi Suzuki

We find the explicit operatorial form of renormalon-type singularities in abelian gauge theory. Local operators of dimension six take care of the first U.V. renormalon, non local operators are needed for I.R. singularities. In the effective…

High Energy Physics - Theory · Physics 2015-06-26 G. Di Cecio , G. Paffuti

We determine the $1/N_f^2$ and $1/N_f^3$ contributions to the QED beta function stemming from the closed set of nested diagrams. At order $1/N_f^2$ we discover a new logarithmic branch-cut closer to the origin when compared to the $1/N_f$…

High Energy Physics - Theory · Physics 2020-08-12 Nicola Andrea Dondi , Gerald V. Dunne , Manuel Reichert , Francesco Sannino

Under a rescaling of longitudinal coordinates $x^{0,3}$ by a factor $\lambda$ which is taken to zero, the classical QCD action simplifies dramatically. This is the high-energy limit, as $\lambda$ is of order $s^{-1/2}$, where $s$ is the…

High Energy Physics - Phenomenology · Physics 2009-09-02 Peter Orland , Jing Xiao

We investigate the thermal properties of hadrons in two-color quantum chromodynamics (QC$_2$D) using the functional renormalization group (FRG) method, with particular focus on modifications of the $U(1)$ axial anomaly effects. The hadrons…

High Energy Physics - Phenomenology · Physics 2025-12-22 Gergely Fejős , Daiki Suenaga

The resummed expression for the quark form factor illustrates the fact that dimensional continuation provides a regularization not only for ultraviolet and infrared singularities of fixed order QCD amplitudes, but also for the Landau pole…

High Energy Physics - Phenomenology · Physics 2009-10-31 Lorenzo Magnea

We study the renormalization of the QCD $\theta$ angle at the two-loop level focusing on divergent and finite $CP$-violating contributions from evanescent operators, using dimensional regularization with the BMHV scheme. When one considers…

High Energy Physics - Phenomenology · Physics 2025-09-22 Tatsuya Banno , Junji Hisano , Teppei Kitahara , Kiyoto Ogawa , Naohiro Osamura

Quantum Chromodynamics in two spacetime dimensions is investigated with the Functional Renormalization Group. We use a functional formulation with covariant gauge fixing and derive Renormalization Group flow equations for the gauge…

High Energy Physics - Phenomenology · Physics 2025-05-06 Eric Oevermann , Adrian Koenigstein , Stefan Floerchinger

We compute the renormalon ambiguity of the static potential, in the limit of a large number of flavors. An extrapolation of the QED result to QCD implies that the large distance behavior of the quark potential is arbitrary in perturbation…

High Energy Physics - Phenomenology · Physics 2016-09-01 Ugo Aglietti , Zoltan Ligeti

In applying large-momentum effective theory, renormalization of the Euclidean correlators in lattice regularization is a challenge due to linear divergences in the self-energy of Wilson lines. Based on lattice QCD matrix elements of the…

We study violation of quark-hadron duality for $\bar{B}\to X_ul\nu$ and $D\to X_dl\nu$ decays in the presence of the right-handed current operator. For this case, we show that duality violation has some aspects different from the standard…

High Energy Physics - Phenomenology · Physics 2023-01-03 Hiroyuki Umeeda