An analysis of systematic effects in finite size scaling studies using the gradient flow

Nada, Alessandro; Ramos, Alberto

doi:10.48550/arxiv.2007.12862

Cited by 1 publication

(12 citation statements)

References 27 publications

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“…We join the authors of ref. [32] and conclude that only by studying nonperturbatively the limit α PT → 0 one can avoid the dangerous game of estimating perturbative uncertainties at some finite (potentially large) value of α PT . Without studying this limit, the determinations can easily be affected by perturbative truncation errors, even at surprisingly small values of the coupling.…”

Section: The Case Of the Pure Yang-mills Theorymentioning

confidence: 89%

“…MS from ref. [32] as a function of α 2 PT . The scale µ had = 1/ √ 8t 0 is defined in terms of the flow time t 0 [43], while α PT is once again the value of the relevant coupling at the renormalization scale µ PT where perturbation is applied.…”

Section: The Case Of the Pure Yang-mills Theorymentioning

confidence: 99%

“…MS as a function of αPT [32]. The empty symbols represent the data at the given αPT, while the filled symbols are extrapolations to αPT → 0 (shifted for better readability) of the different approaches to the perturbative matching (see text for more details).…”

Section: The Case Of the Pure Yang-mills Theorymentioning

confidence: 99%

“…Table 3 of ref. [32]). In the case of the (GF) and (MS(s = 1)) determinations, it is clear that a trustworthy estimate for Λ (0) MS /µ had can be quoted only by extrapolating the results for α PT → 0.…”

Section: The Case Of the Pure Yang-mills Theorymentioning

confidence: 99%

“…[47] show a net tension with the determinations of refs. [30,32]. We recall that the former result is based on extracting Λ (0) MS /µ had from the plaquette expectation value calculated in large-volume simulations.…”

Section: The Case Of the Pure Yang-mills Theorymentioning

confidence: 99%

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Past, present, and future of precision determinations of the QCD coupling from lattice QCD

Brida

2021

Eur. Phys. J. A

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Non-perturbative scale-dependent renormalization problems are ubiquitous in lattice QCD as they enter many relevant phenomenological applications. They require solving non-perturbatively the renormalization group equations for the QCD parameters and matrix elements of interest in order to relate their non-perturbative determinations at low energy to their high-energy counterparts needed for phenomenology. Bridging the large energy separation between the hadronic and perturbative regimes of QCD, however, is a notoriously difficult task. In this contribution we focus on the case of the QCD coupling. We critically address the common challenges that state-of-the-art lattice determinations have to face in order to be significantly improved. In addition, we review a novel strategy that has been recently put forward in order to solve this non-perturbative renormalization problem and discuss its implications for future precision determinations. The new ideas exploit the decoupling of heavy quarks to match $${N_{\mathrm{f}}}$$ N f -flavor QCD and the pure Yang–Mills theory. Through this matching the computation of the non-perturbative running of the coupling in QCD can be shifted to the computationally much easier to solve pure-gauge theory. We shall present results for the determination of the $$\varLambda $$ Λ -parameter of $${N_{\mathrm{f}}}=3$$ N f = 3 -flavor QCD where this strategy has been applied and proven successful. The results demonstrate that these techniques have the potential to unlock unprecedented precision determinations of the QCD coupling from the lattice. The ideas are moreover quite general and can be considered to solve other non-perturbative renormalization problems.

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Section: The Case Of the Pure Yang-mills Theorymentioning

confidence: 89%

Section: The Case Of the Pure Yang-mills Theorymentioning

confidence: 99%

Section: The Case Of the Pure Yang-mills Theorymentioning

confidence: 99%

Section: The Case Of the Pure Yang-mills Theorymentioning

confidence: 99%

Section: The Case Of the Pure Yang-mills Theorymentioning

confidence: 99%

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