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Title: Charmed and light pseudoscalar meson decay constants from HISQ simulations

We compute the leptonic decay constants $$f_{D^+}$$, $$f_{D_s}$$, and $$f_{K^+}$$, and the quark-mass ratios $m_c/m_s$ and $m_s/m_l$ in unquenched lattice QCD. We use the MILC highly improved staggered quark (HISQ) ensembles with four dynamical quark flavors. Our primary results are $$f_{D^+} = 212.6(0.4)({}^{+1.0}_{-1.2})\ \mathrm{MeV}$$, $$f_{D_s} = 249.0(0.3)({}^{+1.1}_{-1.5})\ \mathrm{MeV}$$, and $$f_{D_s}/f_{D^+} = 1.1712(10)({}^{+29}_{-32})$$, where the errors are statistical and total systematic, respectively. We also obtain $$f_{K^+}/f_{\pi^+} = 1.1956(10)({}^{+26}_{-18})$$, updating our previous result, and determine the quark-mass ratios $$m_s/m_l = 27.35(5)({}^{+10}_{-7})$$ and $$m_c/m_s = 11.747(19)({}^{+59}_{-43})$$. When combined with experimental measurements of the decay rates, our results lead to precise determinations of the CKM matrix elements $$|V_{us}| = 0.22487(51) (29)(20)(5)$$, $$|V_{cd}|=0.217(1) (5)(1)$$ and $$|V_{cs}|= 1.010(5)(18)(6)$$, where the errors are from this calculation of the decay constants, the uncertainty in the experimental decay rates, structure-dependent electromagnetic corrections, and, in the case of $$|V_{us}|$$, the uncertainty in $$|V_{ud}|$$, respectively.
Authors:
;
Publication Date:
OSTI Identifier:
1327279
Report Number(s):
arXiv:1411.2667; FERMILAB-CONF-14-474-T
1327233
DOE Contract Number:
AC02-07CH11359
Resource Type:
Conference
Resource Relation:
Journal Name: PoS; Journal Volume: LATTICE2014; Conference: 32nd International Symposium on Lattice Field Theory, Brookhaven, NY, USA, 06/23-06/28/2014
Research Org:
Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Contributing Orgs:
Fermilab Lattice; MILC
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS