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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…

High Energy Physics - Phenomenology · Physics 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…

High Energy Physics - Phenomenology · Physics 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…

High Energy Physics - Phenomenology · Physics 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,…

High Energy Physics - Phenomenology · Physics 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…

High Energy Physics - Phenomenology · Physics 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…

High Energy Physics - Phenomenology · Physics 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…

High Energy Physics - Phenomenology · Physics 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…

High Energy Physics - Phenomenology · Physics 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…

High Energy Physics - Phenomenology · Physics 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…

Data Analysis, Statistics and Probability · Physics 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…

High Energy Physics - Phenomenology · Physics 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…

High Energy Physics - Lattice · Physics 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…

High Energy Physics - Phenomenology · Physics 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…

High Energy Physics - Phenomenology · Physics 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…

High Energy Physics - Phenomenology · Physics 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…

High Energy Physics - Phenomenology · Physics 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…

High Energy Physics - Phenomenology · Physics 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…

High Energy Physics - Phenomenology · Physics 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…

High Energy Physics - Phenomenology · Physics 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…

High Energy Physics - Phenomenology · Physics 2025-10-15 Martin Beneke , Hiromasa Takaura
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