scholarly journals Recurrent form of the renormalization group relations for the higher-order hadronic vacuum polarization function perturbative expansion coefficients

2020 ◽  
Vol 47 (10) ◽  
pp. 105001
Author(s):  
A V Nesterenko
Keyword(s):  
Renormalization Group ◽  
Vacuum Polarization ◽  
Higher Order ◽  
Perturbative Expansion ◽  
Polarization Function ◽  
Group Relations ◽  
Vacuum Polarization Function ◽  
Expansion Coefficients

scholarly journals The hadronic vacuum polarization function with O(a)-improved Wilson fermions - an update

2016 ◽  
Author(s):  
Hanno Horch ◽  
Gregorio Herdoiza ◽  
Benjamin Jaeger ◽  
Hartmut Wittig ◽  
Harvey Meyer ◽  
...  
Keyword(s):  
Vacuum Polarization ◽  
Polarization Function ◽  
Vacuum Polarization Function ◽  
Wilson Fermions

scholarly journals PERTURBATIVE EXPANSION OF τ HADRONIC SPECTRAL FUNCTION MOMENTS

2014 ◽  
Vol 35 ◽  
pp. 1460442
Author(s):  
DIOGO BOITO
Keyword(s):  
Perturbation Theory ◽  
Renormalization Group ◽  
Systematic Study ◽  
Higher Order ◽  
Perturbative Expansion ◽  
Main Stream ◽  
Spectral Functions ◽  
Perturbative Series ◽  
Fixed Order ◽  
Adler Function

In the extraction of αs from hadronic τ decay data several moments of the spectral functions have been employed. Furthermore, different renormalization group improvement (RGI) frameworks have been advocated, leading to conflicting values of αs. Recently, we performed a systematic study of the perturbative behavior of these moments in the context of the two main-stream RGI frameworks: Fixed Order Perturbation Theory (FOPT) and Contour Improved Perturbation Theory (CIPT). The yet unknown higher order coefficients of the perturbative series were modelled using the available knowledge of the renormalon singularities of the QCD Adler function. We were able to show that within these RGI frameworks some of the commonly employed moments should be avoided due to their poor perturbative behavior. Furthermore, under reasonable assumptions about the higher order behavior of the perturbative series FOPT provides the preferred RGI framework.

scholarly journals Determination of $\alpha_s$ in 2+1-flavor QCD through vacuum polarization function

2010 ◽  
Author(s):  
T. Onogi ◽  
Eigo Shintani ◽  
Sinya Aoki ◽  
Hidenori Fukaya ◽  
Shoji Hashimoto ◽  
...  
Keyword(s):  
Vacuum Polarization ◽  
Polarization Function ◽  
Vacuum Polarization Function
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