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SUMMARY:A precise $\\alpha_s$ determination from the R-improved QCD Static
  Energy
DTSTART;VALUE=DATE-TIME:20241120T090000Z
DTEND;VALUE=DATE-TIME:20241120T091500Z
DTSTAMP;VALUE=DATE-TIME:20260429T102204Z
UID:indico-contribution-25289@indico.ific.uv.es
DESCRIPTION:Speakers: José Manuel Mena Valle (Universidad de Salamanca)\n
 The strong coupling $\\alpha_s$ is the most important parameter of Quantum
  Chromodynamics (QCD) therefore it is essential to determine it with high 
 precission. This work presents an improved approach for extracting $\\alph
 a_s$  comparing the numerical results of lattice QCD simulations to the pe
 rturbative expansion of the QCD static energy. We apply R-improvement to i
 ts 3-loop fixed-order prediction\, enabling the subtraction of the u=1/2 r
 enormalon and the corresponding summation of large logarithms. We also per
 form resummation of large ultra-soft logs to $\\text{N}^3\\text{LL}$ accur
 acy using renormalization group equations. A new and more flexible paramet
 risation of the renormalization scale has been implemented\, allowing us t
 o extend perturbation theory to distances of the order of 1 fm. Perturbati
 ve uncertities are estimated randomly varying the parameters that specify 
 the renormalisation scale. We have designed a highly optimised algorithm t
 o evolve $\\alpha_s$ based on the perturbative definition of $\\Lambda_{\\
 text{QCD}}$\, which makes scanning over the strong coupling when minimisin
 g the $\\chi^2$ function very efficient. We also combine Lattice data from
  different simulations into a single dataset\, simplifying the fitting pro
 cedure. Using this approach\, we determine the strong coupling with a prec
 ision comparable to that of the world average\n\nhttps://indico.ific.uv.es
 /event/7664/contributions/25289/
LOCATION:
URL:https://indico.ific.uv.es/event/7664/contributions/25289/
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