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Related papers: Exploring soft anomalous dimensions for $1/Q$ powe…

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We consider non-perturbative effects at short distances in theories with confinement. The analysis is straightforward within the Abelian models in which the confinement arises on classical level. In all cases considered (compact U(1) in 3D…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov , V. I. Zakharov

The resummation of soft gluon exchange for QCD hard scattering requires a matrix of anomalous dimensions. We compute this matrix directly for arbitrary 2 to n massless processes for the first time at two loops. Using color generator…

High Energy Physics - Phenomenology · Physics 2009-04-06 S. Mert Aybat , Lance J. Dixon , George Sterman

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

We compute the two-loop enhancement factors for our earlier one-loop calculations of leading (1/Q) power corrections to the mean values of some event shape variables in deep inelastic lepton scattering. The enhancement is found to be equal…

High Energy Physics - Phenomenology · Physics 2010-02-03 Mrinal Dasgupta , Bryan R. Webber

We present a selfconsistent method for treating nonperturbative effects in inclusive nonleptonic and semileptonic decays of heavy flavour hadrons. These effects give rise to powerlike corrections $\propto 1/m_Q^n\,$, $n \ge 2$ with $m_Q$…

High Energy Physics - Phenomenology · Physics 2011-07-18 I. I. Bigi , N. G. Uraltsev , A. I. Vainshtein

Demanding the analyticity of hadronic observables (calculated in terms of power series of the running coupling) as a {\it whole}, we show that they are free of the Landau singularity. Employing resummation and dispersion-relation…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. I. Karanikas , N. G. Stefanis

I give a pedagogical introduction to resummation and power corrections, using the thrust variable in electron-positron annihilation as an example, followed by an discussion of issues of predictability in perturbative QCD.

High Energy Physics - Phenomenology · Physics 2007-05-23 George Sterman

A Lagrangean and a set of Feynman rules are presented for non-relativistic QFT's with manifest power counting in the heavy particle velocity $v$. A r\'egime is identified in which energies and momenta are of order $Mv$. It is neither…

High Energy Physics - Phenomenology · Physics 2016-08-25 H. W. Griesshammer

We consider the relativistic scattering of unequal-mass scalar particles through graviton exchange in the small-angle high-energy regime. We show the self-consistency of expansion around the eikonal limit and compute the scattering…

High Energy Physics - Theory · Physics 2021-03-24 Ratindranath Akhoury , Ryo Saotome , George Sterman

We present the QCD analysis of D-parameter distribution in near-to-planar 3-jet e+e- annihilation events. We derive the all-order resummed perturbative prediction and the leading power suppressed non-perturbative corrections both to the…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Banfi , Yu. L. Dokshitzer , G. Marchesini , G. Zanderighi

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

I present results for soft anomalous dimensions in single top-quark production processes through three loops. I first discuss the cusp anomalous dimension with one massive and one massless line at three loops. I then calculate the…

High Energy Physics - Phenomenology · Physics 2019-05-01 Nikolaos Kidonakis

We consider electromagnetic finite-volume effects through order $1/L^3$ in different formulations of QED, where $L$ is the periodicity of the spatial volume. An inherent problem at this order is the appearance of structure-dependent…

High Energy Physics - Lattice · Physics 2023-10-23 Matteo Di Carlo , Maxwell T. Hansen , Nils Hermansson-Truedsson , Antonin Portelli

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

A number of important observables exhibit logarithms in their perturbative description that are induced by emissions at widely separated rapidities. These include transverse-momentum ($q_T$) logarithms, logarithms involving heavy-quark or…

High Energy Physics - Phenomenology · Physics 2019-04-24 Markus A. Ebert , Ian Moult , Iain W. Stewart , Frank J. Tackmann , Gherardo Vita , Hua Xing Zhu

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

A method, known as ``minimal renormalon subtraction'' [Phys. Rev. D 97 (2018) 034503, JHEP 2017 (2017) 62], relates the factorial growth of a perturbative series (in QCD) to the power~$p$ of a power correction $\Lambda^p/Q^p$. ($\Lambda$ is…

High Energy Physics - Phenomenology · Physics 2024-01-17 Andreas S. Kronfeld

In nonrelativistic QED the charge of an electron equals its bare value, whereas the self-energy and the mass have to be renormalized. In our contribution we study perturbative mass renormalization, including second order in the fine…

Mathematical Physics · Physics 2015-06-26 Fumio Hiroshima , Herbert Spohn

We critically revisit the issue of power-law running in models with extra dimensions. The analysis is carried out in the context of a higher-dimensional extension of QED, with the extra dimensions compactified on a torus. It is shown that a…

High Energy Physics - Phenomenology · Physics 2010-11-19 J. F. Oliver , J. Papavassiliou , A. Santamaria

We analyze the electromagnetic pion and kaon form factor by including radiative and higher-twist effects within the framework of resummed pQCD in the space-like region. We focus on the transition from the perturbative to non-perturbative…

High Energy Physics - Phenomenology · Physics 2009-03-02 Udit Raha , Andreas Aste
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