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Register a new userObservation of the leptonic decay $D^+ to tau^+ u_tau$
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We report the first observation of $D^+totau^+ u_tau$ with a significance of $5.1sigma$. We measure ${cal B}(D^+totau^+ u_tau) = (1.20pm0.24_{text{stat.}}pm0.12_{text{syst.}})times10^{-3}$. Taking the world average ${cal B}(D^+tomu^+ u_mu) = (3.74pm0.17)times10^{-4}$, we obtain $R_{tau/mu} =Gamma(D^+totau^+ u_tau)/Gamma(D^+tomu^+ u_mu) = 3.21pm0.64_{text{stat.}}pm0.43_{text{syst.}}$, which is consistent with the Standard Model expectation of lepton flavor universality. Using external inputs, our results give values for the $D^+$ decay constant $f_{D^+}$ and the CKM matrix element $|V_{cd}|$ that are consistent with, but less precise than, other determinations.
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By analyzing $6.32~mathrm{fb}^{-1}$ of $e^+e^-$ annihilation data collected at the center-of-mass energies between 4.178 and 4.226,GeV with the BESIII detector, we determine the branching fraction of the leptonic decay $D_s^+totau^+ u_tau$ with $tau^+topi^+pi^0bar u_tau$, to be $mathcal{B}_{D_s^+totau^+ u_tau}=(5.29pm0.25_{rm stat}pm0.20_{rm syst})%$. We estimate the product of the Cabibbo-Kobayashi-Maskawa matrix element $|V_{cs}|$ and the $D_s^+$ decay constant $f_{D^+_s}$ to be $f_{D_s^+}|V_{cs}|=(244.8pm5.8_{rm stat}pm4.8_{rm syst})~mathrm{MeV}$ using the known values of the $tau^+$ and $D_s^+$ masses as well as the $D_s^+$ lifetime, together with our branching fraction measurement. Combining with the value of $|V_{cs}|$ obtained from a global fit in the standard model and $f_{D_s^+}$ from lattice quantum chromodynamics, we obtain $f_{D_s^+}=(251.6pm5.9_{rm stat}pm4.9_{rm syst})$,MeV and $|V_{cs}| = 0.980pm0.023_{rm stat}pm0.019_{rm syst}$.
The precise determination of the $B_c to tau u_tau$ branching ratio provides an advantageous opportunity for understanding the electroweak structure of the Standard Model, measuring the CKM matrix element $|V_{cb}|$ and probing new physics models. In this paper, we discuss the potential of measuring the processes of $B_c to tau u_tau$ with $tau$ decaying leptonically at the proposed Circular Electron Positron Collider (CEPC). We conclude that during the $Z$ pole operation, the channel signal can achieve five $sigma$ significance with $sim 10^9$ $Z$ decays, and the signal strength accuracies for $B_c to tau u_tau$ can reach around 1% level at the nominal CEPC $Z$ pole statistics of one trillion $Z$ decays assuming the total $B_c to tau u_tau$ yield is $3.6 times 10^6$. Our theoretical analysis indicates the accuracy could provide a strong constraint on the general effective Hamiltonian for the $b to ctau u$ transition. If the total $B_c$ yield can be determined to $mathcal{O}(1%)$ level of accuracy in the future, these results also imply $|V_{cb}|$ could be measured up to $mathcal{O}(1%)$ level of accuracy.
We report the first measurement of the $D^{ast -}$ meson polarization in the decay $B^0 to D^{*-} tau^+ u_{tau}$ using the full data sample of 772$times 10^6$ $Bbar{B}$ pairs recorded with the Belle detector at the KEKB electron-positron collider. Our result, $F_L^{D^ast} = 0.60 pm 0.08 ({rm stat}) pm 0.04 ({rm sys})$, where $F_L^{D^ast}$ denotes the $D^{ast-}$ meson longitudinal polarization fraction, agrees within about $1.7$ standard deviations of the standard model prediction.
In a combined study of the decay spectra of $tau^-to K_Spi^- u_tau$ and $tau^-to K^-eta u_tau$ decays within a dispersive representation of the required form factors, we illustrate how the $K^*(1410)$ resonance parameters, defined through the pole position in the complex plane, can be extracted with improved precision as compared to previous studies. While we obtain a substantial improvement in the mass, the uncertainty in the width is only slightly reduced, with the findings $M_{K^{*prime}}=1304 pm 17,$MeV and $Gamma_{K^{*prime}} = 171 pm 62,$MeV. Further constraints on the width could result from updated analyses of the $Kpi$ and/or $Keta$ spectra using the full Belle-I data sample. Prospects for Belle-II are also discussed. As the $K^-pi^0$ vector form factor enters the description of the decay $tau^-to K^-eta u_tau$, we are in a position to investigate isospin violations in its parameters like the form factor slopes. In this respect also making available the spectrum of the transition $tau^-to K^-pi^0 u_tau$ would be extremely useful, as it would allow to study those isospin violations with much higher precision.
The $B^+ to D^{*-}K^+pi^+$ decay potentially provides an excellent way to investigate charm meson spectroscopy. The decay is searched for in a sample of proton-proton collision data collected with the LHCb detector at centre-of-mass energies of 7 and 8 TeV, corresponding to an integrated luminosity of $3~{rm fb}^{-1}$. A clear signal is observed, and the ratio of its branching fraction to that of the $B^+ to D^{*-}pi^+pi^+$ normalisation channel is measured to be begin{equation*} frac{mathcal{B}(B^+ to D^{*-}K^+pi^+)}{mathcal{B}(B^+ to D^{*-}pi^+pi^+)} = left( 6.39 pm 0.27 pm 0.48 right) times 10^{-2} , , end{equation*} where the first uncertainty is statistical and the second is systematic. This is the first observation of the $B^+ to D^{*-}K^+pi^+$ decay.
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