from Möbius domain-wall fermions solved on gradient-flowed HISQ ensembles
- Univ. of North Carolina, Chapel Hill, NC (United States)
- RIKEN (Japan); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States)
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Arithmer Inc., R&D Headquarters, Tokyo (Japan); RIKEN (Japan)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Univ. of Maryland, College Park, MD (United States); Inst. für Kernphysik, Forschungszentrum Jülich (Germany); Inst. for Advanced Simulation, Forschungszentrum Jülich (Germany)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- NVIDIA Corporation, Santa Clara, CA (United States)
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Univ. of California, Berkeley, CA (United States)
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 $$|V_{us}|/|V_{ud}| = 0.2311(10)$$.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
- Sponsoring Organization:
- USDOE Office of Science (SC), Nuclear Physics (NP); NVIDIA Corporation; Alexander von Humboldt Foundation; German Research Foundation (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; USDOE National Nuclear Security Administration (NNSA)
- Grant/Contract Number:
- FG02-04ER41302; AC05-00OR22725; AC02-05CH11231; AC52-07NA27344; FG02-93ER40762; AC05-06OR23177; AC05-06OR2317777
- OSTI ID:
- 1650416
- Alternate ID(s):
- OSTI ID: 1671291; OSTI ID: 1778657
- Report Number(s):
- JLAB-THY-20-3192; DOE-OR-23177-4967; arXiv:2005.04795; LLNL-JRNL-809712; RIKEN-iTHEMS-Report-20; LLNL-JRNL-815846; TRN: US2203895
- Journal Information:
- Physical Review D, Vol. 102, Issue 3; ISSN 2470-0010
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
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