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arxiv: 1701.02644 · v1 · pith:K3E5SKJJnew · submitted 2017-01-10 · ✦ hep-lat · hep-ph

The decay constants {f_D} and {mathbf{f_{D_(s)}}} in the continuum limit of {N_f=2+1} domain wall lattice QCD

Peter A. Boyle , Luigi Del Debbio , Andreas Juttner , Ava Khamseh , Francesco Sanfilippo , Justus Tobias Tsang This is my paper
classification ✦ hep-lat hep-ph
keywords mathrmleftrightdomainlatticemathbfresultsstat
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We present results for the decay constants of the $D$ and $D_s$ mesons computed in lattice QCD with $N_f=2+1$ dynamical flavours. The simulations are based on RBC/UKQCD's domain wall ensembles with both physical and unphysical light-quark masses and lattice spacings in the range 0.11--0.07$\,$fm. We employ the domain wall discretisation for all valence quarks. The results in the continuum limit are $f_D=208.7(2.8)_\mathrm{stat}\left(^{+2.1}_{-1.8}\right)_\mathrm{sys}\,\mathrm{MeV}$ and $f_{D_{s}}=246.4(1.3)_\mathrm{stat}\left(^{+1.3}_{-1.9}\right)_\mathrm{sys}\,\mathrm{MeV}$ and $f_{D_s}/f_D=1.1667(77)_\mathrm{stat}\left(^{+57}_{-43}\right)_\mathrm{sys}$. Using these results in a Standard Model analysis we compute the predictions $|V_{cd}|=0.2185(50)_\mathrm{exp}\left(^{+35}_{-37}\right)_\mathrm{lat}$ and $|V_{cs}|=1.011(16)_\mathrm{exp}\left(^{+4}_{-9}\right)_\mathrm{lat}$ for the CKM matrix elements.

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