Determinations of quark mixing matrix elements $|V_{cd}|$ and $|V_{cs}|$ from leptonic and semileptonic $D$ Decays

Abstract

With the recent measurements of purely leptonic $D_{(s)}^{+}$ decays and semileptonic $D$ decays in conjunction with decay constants $f_{D_{(s)}^{+}}$ and form factors $f_{+}^{\pi (K)}(0)$ calculated in LQCD, we extract the magnitudes of $V_{cd}$ and $V_{cs}$ to be $|V_{cd}|=0.218\pm 0.005$ and $|V_{cs}|=0.987\pm 0.016$. Compared to those given in PDG2013, the precisions of these newly extracted $|V_{cd}|$ and $|V_{cs}|$ are improved by more than 2.0 and 1.5 factors, respectively. With the newly extracted $|V_{cd}|$ and $|V_{cs}|$ together with other CKM matrix elements given in PDG2013, we check the unitarity of the CKM matrix, which are $|V_{ud}{|}^2+|V_{cd}{|}^2+|V_{td}{|}^2=0.997\pm 0.002$, $|V_{us}{|}^2+|V_{cs}{|}^2+|V_{ts}{|}^2=1.027\pm 0.032$ and $|V_{cd}{|}^2+|V_{cs}{|}^2+|V_{cb}{|}^2=1.023\pm 0.032$.

Cited by in corpus (1)

• Recent Experimental Results on Leptonic $D_{(s)}^{+}$ Decays, Semileptonic $D$ Decays and Extraction of $|V_{cd(s)}|$