Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Review and Report on Results of Leptonic Decays of $D^+$ and $D^+_s$
  Mesons   In the last 25 years, many $e^+e^-$ experiments and fixed-target experiments
performed to search for and study the leptonic decays of the $D^+$ and $D^+_s$
mesons. By 2012, more than 530 signal events of the $D^+$ leptonic decays and
about $4\times10^3$ signal events of the $D^+_s$ leptonic decays have been
accumulated at these experiments. With these leptonic decay signal events, both
decay constants $f_{D^+}$ and $f_{D_s^+}$ are, respectively, measured at an
accuracy level of 2.4% and 1.6%, which can be used to more precisely test the
LQCD calculations of the decay constants. Comparing these precisely measured
$f_{D^+}$ and $f_{D_s^+}$ with those predicted with theories based on QCD
provides some information about New Physics beyond the Standard Model. In
addition to these, with the measured branching fractions for $D^+\rightarrow
l^+\nu$ and $D_s^+\rightarrow l^+\nu$ decays, the CKM matrix elements $|V_{\rm
cd}|$ and $|V_{\rm cs}|$ can be determined. Comparing these $|V_{\rm cd}|$ and
$|V_{\rm cs}|$ to those determined from the CKMfitter or extracted from $D$
meson semileptonic decays can also provide some information about the New
Physics. In this article, we review and report the results on the leptonic
decays of $D^+$ and $D^+_s$ mesons measured at different experiments. For the
results which have already been published, we review these in shorter
summaries, while for the results which have not been published or have not been
reported yet before we report these with more detailed discussion.

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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: stat