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Semileptonic decays of D mesons in three-flavor lattice QCD

Journal Article · · Phys.Rev.Lett.
 [1];  [1];  [2];  [3];  [4];  [5];  [6];  [7];  [8];  [9];  [9];  [4];  [10];  [9];  [4];  [2];  [9];  [11];  [6];  [10]
  1. Washington U., St. Louis
  2. Utah U.
  3. De Paul U.
  4. Illinois U., Urbana
  5. Indiana U.
  6. Arizona U.
  7. APS, New York
  8. U. Pacific, Stockton
  9. Fermilab
  10. Simon Fraser U.
  11. UC, Santa Barbara
+ Show Author Affiliations
We present the first three-flavor lattice QCD calculations for $$D\to \pi l\nu$$ and $$D\to K l\nu$$ semileptonic decays. Simulations are carried out using ensembles of unquenched gauge fields generated by the MILC collaboration. With an improved staggered action for light quarks, we are able to simulate at light quark masses down to 1/8 of the strange mass. Consequently, the systematic error from the chiral extrapolation is much smaller than in previous calculations with Wilson-type light quarks. Our results for the form factors at $q^2=0$ are $$f_+^{D\to\pi}(0)=0.64(3)(6)$$ and $$f_+^{D\to K}(0) = 0.73(3)(7)$$, where the first error is statistical and the second is systematic, added in quadrature. Combining our results with experimental branching ratios, we obtain the CKM matrix elements $$|V_{cd}|=0.239(10)(24)(20)$$ and $$|V_{cs}|=0.969(39)(94)(24)$$, where the last errors are from experimental uncertainties.
Research Organization:
Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Contributing Organization:
Fermilab Lattice; MILC; HPQCD
DOE Contract Number:
AC02-07CH11359
OSTI ID:
1893476
Report Number(s):
FERMILAB-PUB-04-195-T; arXiv:hep-ph/0408306; oai:inspirehep.net:657471
Journal Information:
Phys.Rev.Lett., Journal Name: Phys.Rev.Lett. Vol. 94
Country of Publication:
United States
Language:
English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS