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We present a formulation to give renormalon-free predictions consistently with fixed order perturbative results. The formulation has a similarity to Lee's method in that the renormalon-free part consists of two parts: one is given by a…

High Energy Physics - Phenomenology · Physics 2020-10-28 Hiromasa Takaura

By performing an analysis in moment space using high statistics DIS world data, we extract the values of both the QCD parameter $\Lambda^{(4)}_{\bar{MS}}$ up to NLO and of the power corrections to the proton structure function, $F_2$. At…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Liuti

Wilson's approximation scheme of RG recursion formula dropping momentum dependence of the propagators is applied to large-$N$ vector and matrix models in dimensions $2<d<4$ by making use of their exact solutions in zero dimension. In spite…

High Energy Physics - Theory · Physics 2009-10-30 S. Nishigaki

Wilson's original formulation of the renormalization group is perturbative in nature. We here present an alternative derivation of the infinitesimal momentum shell RG, akin to the Wegner and Houghton scheme, that is a priori exact. We show…

Statistical Mechanics · Physics 2020-10-28 Moritz Helias

Perturbation series in QCD are generally asymptotic and suffer from so-called infrared renormalon ambiguities. In the context of the standard operator product expansion in MS-bar these ambiguities are compensated by matrix elements of…

High Energy Physics - Phenomenology · Physics 2009-05-21 Andre H. Hoang , Ambar Jain , Ignazio Scimemi , Iain W. Stewart

We study the perturbative approach to the Wilsonian integration of noncommutative gauge theories in the matrix representation. We begin by motivating the study of noncommutative gauge theories and reviewing the matrix formulation. We then…

High Energy Physics - Theory · Physics 2007-05-23 Eric Nicholson

We introduce a way of implementing Wilson renormalization within the context of the theory of effective Hamiltonians. Our renormalization scheme involves manipulations at the level of the generalized $G$--matrix and is independent of any…

High Energy Physics - Phenomenology · Physics 2015-06-25 T. J. Fields , K. S. Gupta , J. P. Vary

We propose a novel way of matching effective field theory with the underlying QCD in the sense of a Wilsonian renormalization group equation (RGE). We derive Wilsonian matching conditions between current correlators obtained by the operator…

High Energy Physics - Phenomenology · Physics 2009-10-31 Masayasu Harada , Koichi Yamawaki

We analyse power corrections to longitudinal and transverse fragmentation processes in e^+ e^- annihilation, based on the assumption of ultraviolet dominance of power corrections. Under this assumption, we determine the dependence of power…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. Beneke , V. M. Braun , L. Magnea

General model-independent expressions are developed for the polarized and unpolarized cross-sections for $e^+e^-\to f\bar f$ near the $Z^0$ resonance. The expressions assume only the analyticity of S-matrix elements. Angular dependence is…

High Energy Physics - Phenomenology · Physics 2016-08-24 Robin G. Stuart

The full off-shell one loop renormalization for all divergent amplitudes up to dimension 6 in the Abelian Higgs-Kibble model, supplemented with a maximally power counting violating higher-dimensional gauge-invariant derivative interaction…

High Energy Physics - Phenomenology · Physics 2019-09-11 Daniele Binosi , Andrea Quadri

The Universal One-Loop Effective Action (UOLEA) is a general expression for the effective action obtained by evaluating in a model-independent way the one-loop expansion of a functional path integral. It can be used to match UV theories to…

High Energy Physics - Phenomenology · Physics 2017-09-13 Sebastian A. R. Ellis , Jérémie Quevillon , Tevong You , Zhengkang Zhang

Precise extractions of $\alpha_s$ from $\tau\to {\rm (hadrons)}+\nu_\tau$ and from $e^+e^-\to {\rm (hadrons)}$ below the charm threshold rely on finite energy sum rules (FESRs) where the experimental side is given by integrated spectral…

High Energy Physics - Phenomenology · Physics 2020-04-15 D. Boito , F. Oliani

A range of issues pertaining to the use of Wilson lines in integrated and transverse-momentum dependent (TMD) parton distribution functions (PDF) is discussed. The relation between gauge invariance and the renormalization properties of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 I. O. Cherednikov , N. G. Stefanis

Inverse beta decay (IBD), $\overline{\nu}_e p \to e^+ n \left( \gamma \right)$, is the main detection channel for reactor and supernova antineutrinos. To provide precise IBD cross sections at antineutrino energies $E_{\overline{\nu}_e}…

High Energy Physics - Phenomenology · Physics 2026-04-09 Oleksandr Tomalak

Lattice calculations could boost our understanding of Deep Inelastic Scattering by evaluating moments of the Nucleon Structure Functions. To this end we study the product of electromagnetic currents between quark states. The Operator…

High Energy Physics - Lattice · Physics 2008-09-05 W. Bietenholz , N. Cundy , M. Gockeler , R. Horsley , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , J. M. Zanotti

When computing radiative corrections in models with compactified extra dimen- sions, one has to sum over the entire tower of Kaluza-Klein excitations inside the loops. The loop corrections generate a difference between the coupling strength…

High Energy Physics - Phenomenology · Physics 2018-09-26 Ayres Freitas , Daniel Wiegand

The space of Wilson coefficients of EFT that can be UV completed into consistent theories was recently shown to be described analytically by a positive geometry, termed the EFThedron. However, this geometry, as well as complementary…

High Energy Physics - Theory · Physics 2022-04-19 Li-Yuan Chiang , Yu-tin Huang , Laurentiu Rodina , He-Chen Weng

We study lepton polarization asymmetries in the (Lambda_b -> Lambda l^+ l^-) decay using the most general model independent effective Hamiltonian. The dependence of the lepton polarizations and their combinations on the new Wilson…

High Energy Physics - Phenomenology · Physics 2011-03-23 T. M. Aliev , A. Ozpineci , M. Savci

We provide a rigorous construction of generalized spin--boson models with commuting transition matrices and form factors exhibiting critical ultraviolet (UV) divergences. That is, we cover all divergences where a self-energy…

Mathematical Physics · Physics 2025-08-29 Benjamin Alvarez , Sascha Lill , Davide Lonigro , Javier Valentín Martín