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相关论文: Renormalon subtraction in OPE using Fourier transf…

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To improve accuracy in calculating QCD effects, we propose a method for renormalon subtraction in the context of the operator-product expansion. The method enables subtracting renormalons of various powers in $\Lambda_{\rm QCD}$ efficiently…

高能物理 - 唯象学 · 物理学 2021-06-04 Yuuki Hayashi , Yukinari Sumino , Hiromasa Takaura

It is becoming more important to subtract renormalons efficiently from perturbative calculations, in order to achieve high precision QCD calculations. We propose a new framework ``Dual Space Approach" for renormalon separation, which…

高能物理 - 唯象学 · 物理学 2023-06-28 Yuuki Hayashi , Go Mishima , Yukinari Sumino , Hiromasa Takaura

For precise QCD prediction of observables, the ambiguity due to renormalons in perturbative calculations should be appropriately separated from Wilson coefficients in the framework of the operator-product-expansion. Recently, a new method…

高能物理 - 唯象学 · 物理学 2022-07-13 Yuuki Hayashi

In the context of OPE and using the large-$\beta_0$ approximation, we propose a method to define Wilson coefficients free from uncertainties due to IR renormalons. We first introduce a general observable $X(Q^2)$ with an explicit IR cutoff,…

高能物理 - 唯象学 · 物理学 2017-07-17 Go Mishima , Yukinari Sumino , Hiromasa Takaura

As higher order perturbative series are available, it is becoming necessary to include nonperturbative effects in QCD calculations using the OPE. In order to systematically determine nonperturbative effects and to incorporate them into…

高能物理 - 唯象学 · 物理学 2023-01-11 Hiromasa Takaura

The renormalon calculus is used to calculate the terms of order $\beta_0^{n-1}\alpha_s^n$ in the perturbative expansions of the Wilson coefficients and hard-scattering kernels entering the QCD factorization formula for hadronic B-meson…

高能物理 - 唯象学 · 物理学 2009-11-07 Matthias Neubert , Ben D. Pecjak

We study a simplified model of top production and decay, consisting in a virtual vector boson $W^*$ decaying into a massive-massless $t$-$\bar{b}$ quark-antiquark pair. The top has a finite width and further decays into a stable vector…

高能物理 - 唯象学 · 物理学 2018-10-26 Silvia Ferrario Ravasio , Paolo Nason , Carlo Oleari

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…

高能物理 - 唯象学 · 物理学 2020-04-15 D. Boito , F. Oliani

Because of the infrared renormalons, it is difficult to get power accuracy in the traditional approach to the Wilson's operator product expansion. Based on a new perturbative renormalization scheme for power-divergent operators, I propose a…

高能物理 - 唯象学 · 物理学 2007-05-23 Xiangdong Ji

In the analysis of High-Energy Physics data, it is frequently desired to separate resonant signals from a smooth, non-resonant background. This paper introduces a new technique - functional decomposition (FD) - to accomplish this task. It…

数据分析、统计与概率 · 物理学 2018-05-15 Ryan Edgar , Dante Amidei , Christopher Grud , Karishma Sekhon

We propose a non-perturbative method for defining the higher dimensional operators which appear in the Heavy Quark Effective Theory (HQET), such that their matrix elements are free of renormalon singularities, and diverge at most…

高能物理 - 唯象学 · 物理学 2016-09-01 G. Martinelli , C. T. Sachrajda

The calculation of higher twist (or dimension) corrections to physical quantities using operator product expansions is delicate. If dimensional regularization is used to regulate the ultra-violet divergences then there are ambiguities in…

高能物理 - 格点 · 物理学 2009-10-09 C. T. Sachrajda

We investigate the $u=1/2$ [$\mathcal{O}(\Lambda_{\rm QCD})$] and $u=3/2$ [$\mathcal{O}(\Lambda_{\rm QCD}^3)$] renormalons in the static QCD potential in position space and momentum space using the OPE of the potential-NRQCD effective field…

高能物理 - 唯象学 · 物理学 2020-06-24 Yukinari Sumino , Hiromasa Takaura

We determine the strong coupling constant $\alpha_s(M_Z)$ from the static QCD potential by matching a lattice result and a theoretical calculation. We use a new theoretical framework based on operator product expansion (OPE), where…

高能物理 - 唯象学 · 物理学 2019-05-24 Hiromasa Takaura , Takashi Kaneko , Yuichiro Kiyo , Yukinari Sumino

The singular part of Borel transform of a QCD amplitude near the infrared renormalon can be expanded in terms of higher order Wilson coefficients of the operators associated with the renormalon. In this paper we observe that this expansion…

高能物理 - 唯象学 · 物理学 2009-11-07 Gorazd Cvetic , Taekoon Lee

Exact large-$N_{f}$ results for the QCD Adler $D$-function and Deep Inelastic Scattering sum rules are used to resum to all orders the portion of QCD perturbative coefficients containing the highest power of…

高能物理 - 唯象学 · 物理学 2011-05-05 C. N. Lovett-Turner , C. J. Maxwell

We propose a renormalon-inspired resummation of QCD perturbation theory based on approximating the renormalization scheme (RS) invariant effective charge beta-function coefficients by the portion containing the highest power of…

高能物理 - 唯象学 · 物理学 2009-10-28 C. J. Maxwell , D. G. Tonge

The tau hadronic width provides a determination of the strong coupling constant alpha_s at low energies, since it can be related to a weighted integral of the Adler function in the complex energy plane. Using Operator Product Expansion, one…

高能物理 - 唯象学 · 物理学 2010-02-17 S. Descotes-Genon , B. Malaescu

We determine the strong coupling constant $\alpha_s$ from the static QCD potential by matching a theoretical calculation with a lattice QCD computation. We employ a new theoretical formulation based on the operator product expansion, in…

高能物理 - 唯象学 · 物理学 2019-05-02 Hiromasa Takaura , Takashi Kaneko , Yuichiro Kiyo , Yukinari Sumino

A long-standing problem concerns the question how to consistently combine perturbative expansions in QCD with power corrections in the context of the operator product expansion (OPE), since the former exhibit ambiguities due to infrared…

高能物理 - 唯象学 · 物理学 2025-10-15 Martin Beneke , Hiromasa Takaura
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