F K / F π from Möbius domain-wall fermions solved on gradient-flowed HISQ ensembles

Miller, Nolan; Monge-Camacho, Henry; Chang, Chia Cheng; Hörz, Ben; Rinaldi, Enrico; Howarth, Dean; Berkowitz, Evan; Brantley, David A.; Gambhir, Arjun Singh; Körber, Christopher; Monahan, Christopher J.; Clark, M. A.; Joó, Bálint; Kurth, Thorsten; Nicholson, Amy; Orginos, Kostas; Vranas, Pavlos; Walker-Loud, André

doi:10.1103/PhysRevD.102.034507

Title: $F_{K} / F_{π}$ from Möbius domain-wall fermions solved on gradient-flowed HISQ ensembles

Journal Article · 24 August 2020 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.102.034507 · OSTI ID:1650416

;

; Brantley, David A.; Gambhir, Arjun Singh; Körber, Christopher;

; Clark, M. A.; Joó, Bálint;

; Nicholson, Amy;

;

We report the results of a lattice quantum chromodynamics calculation of $$F_K/F_\pi$$ using Möbius 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 $$130 \lesssim m_\pi \lesssim 400$$ MeV, four lattice spacings of $$a\sim 0.15, 0.12, 0.09$$ 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 $$a\sim0.06$$ fm ensemble is helpful, but not necessary to achieve a subpercent determination of $$F_K/F_\pi$$. We also include an estimate of the strong isospin breaking corrections and arrive at a final result of $$F_{K^\pm}/F_{\pi^\pm} = 1.1942(45)$$ 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 $$|V_{us}|/|V_{ud}| = 0.2311(10)$$.

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Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); NVIDIA Corporation; Alexander von Humboldt Foundation; Deutsche Forschungsgemeinschaft (DFG); National Natural Science Foundation of China (NSFC); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); Nuclear Physics Double Beta Decay Topical Collaboration

Grant/Contract Number:: FG02-04ER41302; AC05-00OR22725; AC02-05CH11231; AC52-07NA27344; FG02-93ER40762; FG02-04ER41302

OSTI ID:: 1650416

Alternate ID(s):: OSTI ID: 1778657; OSTI ID: 1671291

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 3 Vol. 102; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Title: $F_{K} / F_{π}$ from Möbius domain-wall fermions solved on gradient-flowed HISQ ensembles