An 'improved' lattice study of semileptonic decays of D mesons

We present results of a lattice computation of the matrix elements of the vector and axial-vector currents which are relevant for the semi-leptonic decays

D \rightarrow K

and

D \rightarrow K^*

. The computations are performed in the quenched approximation to lattice QCD on a

24^3 \times 48

lattice at

\beta=6.2

, using an

O(a)

-improved fermionic action. In the limit of zero lepton masses the semi-leptonic decays

D \rightarrow K

and

D \rightarrow K^*

are described by four form factors:

f^{+}_K,V,A_1

and

A_2

, which are functions of

q^2

, where

q^{\mu}

is the four-momentum transferred in the process. Our results for these form factors at

q^2=0

are: f^+_K(0)=0.67 \er{7}{8} , V(0)=1.01 \err{30}{13} , A_1(0)=0.70 \err{7}{10} , A_2(0)=0.66 \err{10}{15} , which are consistent with the most recent experimental world average values. We have also determined the

q^2

dependence of the form factors, which we find to be reasonably well described by a simple pole-dominance model. Results for other form factors, including those relevant to the decays \dpi and \drho, are also given.

Note:

41 pages, uuencoded compressed postscript file containing 14 figures, LaTeX, Edinburgh Preprint 94/546 and Southampton Preprint SHEP 93/94-32

D: semileptonic decay
semileptonic decay: D
fermion: lattice field theory
D: width
current: vector
current: axial-vector
gauge field theory: SU(3)
approximation: quenching
form factor
meson: mass

References(44)

Figures(0)

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