High precision tests of QCD without scale or scheme ambiguities: The 40th anniversary of the Brodsky–Lepage–Mackenzie method

L Di Giustino, SJ Brodsky, PG Ratcliffe, XG Wu… - Progress in Particle and …, 2024 - Elsevier
A key issue in making precise predictions in QCD is the uncertainty in setting the
renormalization scale μ r and thus determining the correct values of the QCD running …

The QCD renormalization group equation and the elimination of fixed-order scheme-and-scale ambiguities using the principle of maximum conformality

XG Wu, JM Shen, BL Du, XD Huang, SQ Wang… - Progress in Particle and …, 2019 - Elsevier
The conventional scale setting approach to fixed-order perturbative QCD (pQCD)
predictions is based on a guessed renormalization scale, usually taking as the one to …

Probabilistic definition of the perturbative theoretical uncertainty from missing higher orders

M Bonvini - The European Physical Journal C, 2020 - Springer
We consider the problem of quantifying the uncertainty on theoretical predictions based on
perturbation theory due to missing higher orders. The most widely used approach, scale …

[HTML][HTML] Extending the predictive power of perturbative QCD using the principle of maximum conformality and the Bayesian analysis

JM Shen, ZJ Zhou, SQ Wang, J Yan, ZF Wu… - The European Physical …, 2023 - Springer
In addition to the evaluation of high-order loop contributions, the precision and predictive
power of perturbative QCD (pQCD) predictions depends on two important issues:(1) how to …

Precise perturbative predictions from fixed-order calculations

J Yan, ZF Wu, JM Shen, XG Wu - Journal of Physics G: Nuclear …, 2023 - iopscience.iop.org
The intrinsic conformality (iCF) is a general property of the renormalizable gauge theory,
which ensures the scale invariance of a fixed-order series at each perturbative order …

Next-to-next-to-leading-order QCD corrections to J/ψ plus ηc production at the B factories

XD Huang, B Gong, JX Wang - Journal of High Energy Physics, 2023 - Springer
A bstract In this paper, we calculate the next-to-next-to-leading-order (NNLO) QCD
corrections to e+ e−→ J/ψ+ η c at the B factories. After including the NNLO corrections, the …

Novel demonstration of the renormalization group invariance of the fixed-order predictions using the principle of maximum conformality and the -scheme coupling

XG Wu, JM Shen, BL Du, SJ Brodsky - Physical Review D, 2018 - APS
As a basic requirement of the renormalization group invariance, any physical observable
must be independent of the choice of both the renormalization scheme and the initial …

Novel and self-consistency analysis of the QCD running coupling α s (Q) in both the perturbative and nonperturbative domains

Q Yu, H Zhou, XD Huang, JM Shen… - Chinese Physics …, 2022 - iopscience.iop.org
The quantum chromodynamics (QCD) coupling α s is the most important parameter for
achieving precise QCD predictions. By using the well measured effective coupling ${\alpha} …

Novel method to reliably determine the QCD coupling from Ruds measurements and its effects to muon g − 2 and within the tau-charm energy region

JM Shen, BH Qin, J Yan, SQ Wang, XG Wu - Journal of High Energy …, 2023 - Springer
A bstract We present a novel method for precisely determining the QCD running coupling
from R uds measurements in electron-positron annihilation. When calculating the fixed-order …

Scale-fixed predictions for γ+ ηc production in electron-positron collisions at NNLO in perturbative QCD

HM Yu, WL Sang, XD Huang, J Zeng, XG Wu… - Journal of High Energy …, 2021 - Springer
A bstract In the paper, we present QCD predictions for γ+ η c production at an electron-
positron collider up to next-to-next-to-leading order (NNLO) accuracy without …