FK/Fπ from Möbius domain-wall fermions solved on gradient-flowed HISQ ensembles
| Autor: | Ben Hörz, Amy Nicholson, Bálint Joó, M. A. Clark, Evan Berkowitz, Henry Monge-Camacho, Arjun Singh Gambhir, Pavlos Vranas, Enrico Rinaldi, Kostas Orginos, Chia Cheng Chang, Nolan Miller, Christopher J. Monahan, Dean Howarth, Christopher Körber, Andre Walker-Loud, Thorsten Kurth, David Brantley |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Quark
Quantum chromodynamics Physics Chiral perturbation theory 010308 nuclear & particles physics High Energy Physics::Lattice Fermion 01 natural sciences Pion Isospin Lattice (order) 0103 physical sciences Effective field theory High Energy Physics::Experiment 010306 general physics Mathematical physics |
| Zdroj: | Physical Review D. 102 |
| ISSN: | 2470-0029 2470-0010 |
| DOI: | 10.1103/physrevd.102.034507 |
| Popis: | We report the results of a lattice quantum chromodynamics calculation of ${F}_{K}/{F}_{\ensuremath{\pi}}$ using M\"obius domain-wall fermions computed on gradient-flowed ${N}_{f}=2+1+1$ highly improved staggered quark (HISQ) ensembles. The calculation is performed with five values of the pion mass ranging from $130\ensuremath{\lesssim}{m}_{\ensuremath{\pi}}\ensuremath{\lesssim}400\text{ }\text{ }\mathrm{MeV}$, four lattice spacings of $a\ensuremath{\sim}0.15$, 0.12, 0.09 and 0.06 fm and multiple values of the lattice volume. The interpolation/extrapolation to the physical pion and kaon mass point, the continuum, and infinite volume limits are performed with a variety of different extrapolation functions utilizing both the relevant mixed-action effective field theory expressions as well as discretization-enhanced continuum chiral perturbation theory formulas. We find that the $a\ensuremath{\sim}0.06\text{ }\text{ }\mathrm{fm}$ ensemble is helpful, but not necessary to achieve a subpercent determination of ${F}_{K}/{F}_{\ensuremath{\pi}}$. We also include an estimate of the strong isospin breaking corrections and arrive at a final result of ${F}_{{\stackrel{^}{K}}^{+}}/{F}_{{\stackrel{^}{\ensuremath{\pi}}}^{+}}=1.1942(45)$ with all sources of statistical and systematic uncertainty included. This is consistent with the Flavour Lattice Averaging Group average value, providing an important benchmark for our lattice action. Combining our result with experimental measurements of the pion and kaon leptonic decays leads to a determination of $|{V}_{us}|/|{V}_{ud}|=0.2311(10)$. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|