$$D$$ meson Semileptonic Decay Form Factors at $q^2 = 0$
- Indiana U.
- Michigan State U.
- Washington U., St. Louis
- Utah U.
- Syracuse U.
- Fermilab
- Granada U., Theor. Phys. Astrophys.
- APS, New York
- Glasgow U.
- RIKEN BNL
- Arizona U.
- UC, Santa Barbara
We discuss preliminary results for the vector form factors $$f_+^{\{\pi,K\}}$$ at zero-momentum transfer for the decays $$D\to\pi\ell\nu$$ and $$D\to K \ell\nu$$ using MILC's $$N_f = 2+1+1$$ HISQ ensembles at four lattice spacings, $$a \approx 0.042, 0.06, 0.09$$, and 0.12 fm, and various HISQ quark masses down to the (degenerate) physical light quark mass. We use the kinematic constraint $$f_+(q^2)= f_0(q^2)$$ at $q^2 = 0$ to determine the vector form factor from our study of the scalar current, which yields $$f_0(0)$$. Results are extrapolated to the continuum physical point in the framework of hard pion/kaon SU(3) heavy-meson-staggered $$\chi$$PT and Symanzik effective theory. Our calculation improves upon the precision achieved in existing lattice-QCD calculations of the vector form factors at $q^2=0$. We show the values of the CKM matrix elements $$|V_{cs}|$$ and $$|V_{cd}|$$ that we would obtain using our preliminary results for the form factors together with recent experimental results, and discuss the implications of these values for the second row CKM unitarity.
- Research Organization:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- Contributing Organization:
- Fermilab Lattice; MILC
- DOE Contract Number:
- AC02-07CH11359
- OSTI ID:
- 1570215
- Report Number(s):
- arXiv:1901.08989; FERMILAB-CONF-19-041-T; oai:inspirehep.net:1716788
- Journal Information:
- PoS, Vol. LATTICE2018; Conference: 36th International Symposium on Lattice Field Theory, East Lansing, MI, United States, 07/22-07/28/2018
- Country of Publication:
- United States
- Language:
- English
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