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Variational and perturbative relativistic energies are computed and compared for two-electron atoms and molecules with low nuclear charge numbers. In general, good agreement of the two approaches is observed. Remaining deviations can be…

Chemical Physics · Physics 2022-09-21 Dávid Ferenc , Péter Jeszenszki , Edit Mátyus

We review the physics of the power corrections to the parton model. In the first part, we consider the power corrections which characterize the infrared sensitivity of Feynman graphs when the contribution of short distances dominates. The…

High Energy Physics - Phenomenology · Physics 2015-06-25 F. V. Gubarev , M. I. Polikarpov , V. I. Zakharov

Perturbative expansions for short-distance quantities in QCD are factorially divergent and this deficiency can be turned into a useful tool to investigate nonperturbative corrections. In this work, we use this approach to study the…

High Energy Physics - Phenomenology · Physics 2020-10-13 V. Braun , A. Vladimirov , J. -H. Zhang

We argue that the perturbative QCD correlations contribute dominantly to the double parton distributions as compared to the nonperturbative ones in the limit of sufficiently large hard scales and for not parametrically small longitudinal…

High Energy Physics - Phenomenology · Physics 2014-07-16 A. M. Snigirev , N. A. Snigireva , G. M. Zinovjev

Power corrections in QCD (both conventional and unconventional ones arising from the ultraviolet region) are discussed within the infrared finite coupling-dispersive approach. It is shown how power corrections in Minkowskian quantities can…

High Energy Physics - Phenomenology · Physics 2014-11-17 G. Grunberg

Perturbation expansions appear to be divergent series in many physically interesting situations, including in quantum field theories like quantum electrodynamics (QED) and quantum chromodynamics (QCD), where the perturbative coefficients…

High Energy Physics - Phenomenology · Physics 2018-01-26 Irinel Caprini , Jan Fischer , Gauhar Abbas , B. Ananthanarayan

The short-distance behaviour of the hadronic light-by-light (HLbL) contribution to $(g-2)_{\mu}$ has recently been studied by means of an operator product expansion in a background electromagnetic field. The leading term in this expansion…

High Energy Physics - Phenomenology · Physics 2021-05-12 Johan Bijnens , Nils Hermansson-Truedsson , Laetitia Laub , Antonio Rodríguez-Sánchez

We calculate the next-to-leading order QCD corrections to the perturbative term in the operator product expansion of the spectral functions of light tetraquark currents. By using also configuration space methods we keep the momentum space…

High Energy Physics - Phenomenology · Physics 2014-10-01 S. Groote , J. G. Körner , D. Niinepuu

Perturbative expansions of QCD observables in powers of $\alpha_s$ are believed to be asymptotic and non-Borel summable due to the existence of singularities in the Borel plane (renormalons). This fact is connected with the factorization of…

High Energy Physics - Lattice · Physics 2007-05-23 Antonio Pineda

This talk reports on various aspects of the divergence of perturbative expansions in the context of matching QCD onto heavy quark effective theory. Implications for exclusive and inclusive decays of heavy mesons are discussed.

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

In this article we study, via analytical methods, $1/Q$ non-perturbative power corrections to event shape mean values, addressing in particular the question of their interplay with soft perturbative emissions. Specifically we point out that…

High Energy Physics - Phenomenology · Physics 2024-11-27 Mrinal Dasgupta , Farid Hounat

A group theoretical procedure for parametrizing non-forward matrix elements of non-local QCD operators is introduced. The related (two-variable) distribution amplitudes are given as sum over power corrections of the double distributions.…

High Energy Physics - Phenomenology · Physics 2009-11-07 Bodo Geyer , Markus Lazar , Dieter Robaschik

Infrared safe differential cross sections, such as event shape distributions, can be measured over wide kinematic ranges, from regions where fixed order calculations are adequate to regions where nonperturbative dynamics dominate. Such…

High Energy Physics - Phenomenology · Physics 2014-11-17 George Sterman

The parametric error on the QCD-coupling can be a dominant source of uncertainty in several important observables. One way to extract the coupling is to compare high order perturbative computations with lattice evaluated moments of heavy…

High Energy Physics - Lattice · Physics 2023-01-25 Leonardo Chimirri

Perturbative corrections of the order of $\alpha_s$ to inclusive double differential lepton distribution from $b$ quark decay are considered. A perturbative correction to the charged lepton energy spectrum has been calculated for an…

High Energy Physics - Phenomenology · Physics 2011-01-25 Marek Jezabek , Leszek Motyka

This article provides a review of progress made in understanding inverse power law corrections 1/Q^p where Q is the hard scale for a given QCD observable. Special emphasis is given to comparisons of theory with HERA results.

High Energy Physics - Phenomenology · Physics 2008-11-26 Mrinal Dasgupta

The concept of QCD sum rules is extended to bound states composed of particles with finite mass such as scalar quarks or strange quarks. It turns out that mass corrections become important in this context. The number of relevant corrections…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. Meyer-Hermann , A. Schäfer , W. Greiner

This is a doctoral thesis dissertation developed in the frame of theoretical QCD predictions, with focus on two main topics. On the one hand, the large-order bahavior of perturbative QCD series is discussed. By reviewing the main…

High Energy Physics - Phenomenology · Physics 2023-06-27 Nestor G. Gracia

I present a unifying scheme for hadronic functions that comprises logarithmic corrections due to gluon emission in perturbative QCD, as well as power-behaved corrections of nonperturbative origin. The latter are derived by demanding that…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. G. Stefanis

We apply heavy-quark effective theory to separate long- and short-distance effects of heavy quarks in lattice gauge theory. In this approach, the inverse heavy-quark mass and the lattice spacing are treated as short distances, and their…

High Energy Physics - Lattice · Physics 2014-11-17 Junpei Harada , Shoji Hashimoto , Ken-Ichi Ishikawa , Andreas S. Kronfeld , Tetsuya Onogi , Norikazu Yamada