As a part of our program to test the unitarity of the Cabibbo-Kobayashi-Maskawa matrix, the decay of the superallowed 0⁺ --> 0⁺ beta emitters ³⁸Ca and ⁴⁶V has been studied in this dissertation. For ³⁸Ca, the half-life, 443.88(36) ms, and superallowed branching ratio, 0.7738(41), have been measured. In our half-life experiment, pure sources of ³⁸Ca were produced and the decay positrons detected in a high-efficiency 4[pi] proportional gas counter. Since the beta⁺ decay of ³⁸Ca feeds ³⁸K^m, which is itself a superallowed beta⁺ emitter, the data were analyzed as a linked parent-daughter decay. Our result for the half-life of ³⁸Ca, with a precision of 0.08%, is a factor of five improvement on the best previous result. The branching-ratio of ³⁸Ca depended on beta-delayed gamma-ray intensities being measured with a high-purity germanium detector calibrated for absolute efficiency to 0.2% precision. This branching-ratio result represents our first step in bringing the ft value for the superallowed ³⁸Ca transition into the desired range of 0.1%. With our half-life and superallowed branching ratio results for ³⁸Ca, we obtain the Ft to be 3072(17) s, in good agreement with the conserved vector current expectation. The half-life of ⁴⁶V has been measured to be 422.66(6) ms, a factor of two more precise than the best previous measurement. Our present result determines the corresponding Ft value to be 3074.5(26) s, which is consistent with the average $\overline{\mathcal{F}t}$ value of 3072.08(79) s established from the 13 best-known superallowed transitions. This demonstrates that previously accepted half-lives of ⁴⁶V were correct in their contribution to a precision test of the conserved vector current hypothesis.

La violation de CP dans le système des mésons B est étudiée auprès des usines à B depuis maintenant 8 ans. Fortes d'un premier succès apres la mesure de grande précision de l'angle beta du Triangle d'Unitarité, elles s'attèlent depuis peu à l'étude des deux derniers angles: alpha et gamma, qui sont encore très mal connus. Le travail présenté dans cette thèse concerne la mesure de l'angle gamma auprès du détecteur BABAR à SLAC en considérant les désintégrations B- en D0K*-. La méthode utilisée s'appuie sur les interférences au niveau du plan de Dalitz de la désintégration à trois corps : D0 en Ks Pi Pi, entre une contribution à l'amplitude de désintégration proportionnelle à l'élément Vub de la matrice CKM et une contribution proportionnelle à l'élément Vcb de cette même matrice. Cette méthode avait déjà été utilisée pour la mesure de l'angle gamma dans les désintégrations B- en D0 K- et B- en D*0 K-. Ce nouveau mode permet d'améliorer l'erreur statistique sur la mesure de 3 degrés, nous mesurons alors : gamma = (67 +- 28 +- 13 +- 11) degrés. La première incertitude correspond à l'erreur statistique, la deuxième à l'erreur systématique expérimentale et la troisième à l'erreur systématique associée au modèle utilisé pour décrire le plan de Dalitz D0 en Ks Pi Pi. Une présentation détaillée de ce modèle est aussi proposée car il est crucial pour l'analyse. A l'avenir, pour améliorer cette mesure, il faudra affiner la description du modèle de Dalitz à mesure que le nombre d'évènements disponibles auprès des usines à B augmentent.

Precision measurements of superallowed Fermi β-decay allow for stringent tests of the magnitude of isospin-symmetry-breaking effects in nuclei, the validity of the conserved vector current hypothesis, and the unitarity of the Cabibbo-Kobayashi-Maskawa (CKM) quark-mixing matrix. A high-precision measurement of the branching ratio for the superallowed β+ decay of 74Rb has been performed at the Isotope Separator and ACcelerator (ISAC) facility at TRIUMF. The 8π spectrometer, an array of 20 HPGe detectors, was used to detect γ-rays emitted following the Gamow-Teller and non-analogue Fermi β-decays of 74Rb. PACES, an array of 5 Si(Li) detectors, was used to detect emitted conversion electrons, while half of SCEPTAR, a close-packed array of 10 plastic scintillators, was used to detect emitted β particles. In this experiment, 23 excited states were identified in 74Kr which were populated following the β-decay of 74Rb. A total of 58 γ-rays were identified following the 8.241(4)x108 detected β-particles. An observed non-superallowed branching ratio of 0.396(7)% was determined from the intensity of the identified γ-rays, while the unobserved non-superallowed intensity was calculated to be 0.05(5)%, leading to a superallowed branching ratio of 99.55(5)%. The superallowed branching ratio is now the most precise experimental quantity in the determination of the superallowed ft-value of 74Rb. Combining the half-life and Q-value with the superallowed branching ratio measured in this work leads to a superallowed ft-value of 3082.6(66) s. Finally, comparisons between the superallowed ft-value, the world average Ft-value, and the non-analogue Fermi branching ratio are made to provide future guidance in the refinement of the theoretical models required to describe the crucial isospin-symmetry-breaking term in superallowed β-decay.

We use a global fit to determine the form factor slopes and branching fractions of the decays B --> Dlnu and B --> D*lnu. We reconstruct Dl pairs and construct a 3-dimensional distribution binned in lepton momentum, D momentum and cosTheta(B-Dl). These kinematic variables provide good separation between the signal and background. We fit electron and muon samples separately and combine them after calculating systematic uncertainties. The form factor slopes, rhoD^2 for B --> Dlnu and rho^2 for B --> D*lnu decays, are measured to be rhoD^2 = 1.22 +- 0.04 +- 0.07 and rho^2 = 1.21 +- 0.02 +- 0.07, where the errors are statistical and systematic, respectively. Branching fractions are fitted to be B(B+ --> D0lnu) = (2.36 +- 0.03 +- 0.12) % and B(B^+ --> D*0lnu) = (5.37 +- 0.02 +- 0.21) %. We use these results to determine the products, G(1)|Vcb| = (43.8 +- 0.8 +- 2.3)*10^{-3} and F(1)|Vcb| = (35.7 +- 0.2 +- 1.2)*10^{-3} of the form factors at zero recoil and the CKM matrix element |Vcb|, from which |Vcb| can be extracted using theoretical input.

Using data collected with the BABAR detector at the SLAC PEP-II electron-positron storage ring operating at a centre-of-mass energy near 10.58 GeV, the branching fractions $B(\tau^- \to \pi^-\pi^-\pi^+\nu_\tau) =(8.83\pm0.01\pm0.13)\%$, $B(\tau^- \to K^-\pi^-\pi^+\nu_\tau) =(0.273\pm0.002 \pm 0.009)\%$, $B(\tau^- \to K^-\pi^-K^+\nu_\tau) =(0.1346 \pm 0.0010 \pm 0.0036)\%$, and $B(\tau^- \to K^-K^-K^+\nu_\tau) =(1.58 \pm 0.13 \pm 0.12)\times10^{-5}$ are measured where the uncertainties are statistical and systematic, respectively. The invariant mass distribution for the $\tau^- \to \pi^-\pi^-\pi^+\nu_\tau$, $\tau^- \to K^-\pi^-\pi^+\nu_\tau$, $\tau^- \to K^-\pi^-K^+\nu_\tau$, and $\tau^- \to K^-K^-K^+\nu_\tau$ decays are unfolded to correct for detector effects. A measurement of $B(\tau^- \to \phi\pi^-\nu_\tau)=(3.42\pm0.55\pm0.25)\times10^{−5}$, a measurement of $B(\tau^- \to \phi^-K^-\nu_\tau) =(3.39\pm0.20\pm0.28)\times10^{−5}$ and an upper limit on $B(\tau^- \to K^-K^-K^+\nu_\tau [ex.\phi]) < =2.5\times10^{−6}$@90\%CL are determined from a binned maximum likelihood fit of the $\tau^- \to K^-\pi^-K^+\nu_\tau$ and $\tau^- \to K^-K^-K^+\nu_\tau$ $K^+K^−$ invariant mass distributions. The branching ratio $B(\tau^- \to K^-\nu_\tau)/B(\tau^- \to\pi^-\nu_\tau)$ is measured to be $(6.531\pm0.056\pm0.093)\times10^{−2}$ from which $|V_{us}|$ is determined to be $0.2255 \pm 0.0023$. The branching ratio $B(\tau^- \to \mu^-\nu_\tau\bar{\nu}_\mu)/B(\tau^- \to e^-\nu_\tau\bar{\nu}_e) =(9.796 \pm 0.016 \pm 0.035)\times10^{−1}$ is measured enabling a precision test of the Standard Model assumption of charged current lepton universality, $g_{\mu}/g_{e}=1.0036 \pm 0.0020$. The branching ratios $B(\tau^- \to K^-\nu_\tau)/B(\tau^- \to e^-\nu_\tau\bar{\nu}_e)=(3.882 \pm 0.032 \pm 0.056)\times10^{−2}$, and $B(\tau^- \to\pi^-\nu_\tau)/B(\tau^- \to e^-\nu_\tau\bar{\nu}_e)=(5.945 \pm 0.014 \pm 0.061)\times10^{−1}$ are measured which provide additional tests of charged current lepton universality, $(g_{\tau}/g_{\mu})_{\pi}= 0.9856 \pm 0.0057$ and $(g_{\tau}/g_{\mu})_{K}= 0.9827 \pm 0.0086$ which can be combined to give $(g_{\tau}/g_{\mu})_{\pi/K}= 0.9850 \pm 0.0054$. Any deviation of these measurements from the expected Standard Model values would be an indication of new physics.

We use a global fit to determine the form factor slopes and branching fractions of the decays B --> Dlnu and B --> D*lnu. We reconstruct Dl pairs and construct a 3-dimensional distribution binned in lepton momentum, D momentum and cosTheta(B-Dl). These kinematic variables provide good separation between the signal and background. We fit electron and muon samples separately and combine them after calculating systematic uncertainties. The form factor slopes, rhoD^2 for B --> Dlnu and rho^2 for B --> D*lnu decays, are measured to be rhoD^2 = 1.22 +- 0.04 +- 0.07 and rho^2 = 1.21 +- 0.02 +- 0.07, where the errors are statistical and systematic, respectively. Branching fractions are fitted to be B(B+ --> D0lnu) = (2.36 +- 0.03 +- 0.12) % and B(B^+ --> D*0lnu) = (5.37 +- 0.02 +- 0.21) %. We use these results to determine the products, G(1)|Vcb| = (43.8 +- 0.8 +- 2.3)*10^{-3} and F(1)|Vcb| = (35.7 +- 0.2 +- 1.2)*10^{-3} of the form factors at zero recoil and the CKM matrix element |Vcb|, from which |Vcb| can be extracted using theoretical input.

Using data collected with the BABAR detector at the SLAC PEP-II electron-positron storage ring operating at a centre-of-mass energy near 10.58 GeV, the branching fractions $B(\tau^- \to \pi^-\pi^-\pi^+\nu_\tau) =(8.83\pm0.01\pm0.13)\%$, $B(\tau^- \to K^-\pi^-\pi^+\nu_\tau) =(0.273\pm0.002 \pm 0.009)\%$, $B(\tau^- \to K^-\pi^-K^+\nu_\tau) =(0.1346 \pm 0.0010 \pm 0.0036)\%$, and $B(\tau^- \to K^-K^-K^+\nu_\tau) =(1.58 \pm 0.13 \pm 0.12)\times10^{-5}$ are measured where the uncertainties are statistical and systematic, respectively. The invariant mass distribution for the $\tau^- \to \pi^-\pi^-\pi^+\nu_\tau$, $\tau^- \to K^-\pi^-\pi^+\nu_\tau$, $\tau^- \to K^-\pi^-K^+\nu_\tau$, and $\tau^- \to K^-K^-K^+\nu_\tau$ decays are unfolded to correct for detector effects. A measurement of $B(\tau^- \to \phi\pi^-\nu_\tau)=(3.42\pm0.55\pm0.25)\times10^{−5}$, a measurement of $B(\tau^- \to \phi^-K^-\nu_\tau) =(3.39\pm0.20\pm0.28)\times10^{−5}$ and an upper limit on $B(\tau^- \to K^-K^-K^+\nu_\tau [ex.\phi]) < =2.5\times10^{−6}$@90\%CL are determined from a binned maximum likelihood fit of the $\tau^- \to K^-\pi^-K^+\nu_\tau$ and $\tau^- \to K^-K^-K^+\nu_\tau$ $K^+K^−$ invariant mass distributions. The branching ratio $B(\tau^- \to K^-\nu_\tau)/B(\tau^- \to\pi^-\nu_\tau)$ is measured to be $(6.531\pm0.056\pm0.093)\times10^{−2}$ from which $|V_{us}|$ is determined to be $0.2255 \pm 0.0023$. The branching ratio $B(\tau^- \to \mu^-\nu_\tau\bar{\nu}_\mu)/B(\tau^- \to e^-\nu_\tau\bar{\nu}_e) =(9.796 \pm 0.016 \pm 0.035)\times10^{−1}$ is measured enabling a precision test of the Standard Model assumption of charged current lepton universality, $g_{\mu}/g_{e}=1.0036 \pm 0.0020$. The branching ratios $B(\tau^- \to K^-\nu_\tau)/B(\tau^- \to e^-\nu_\tau\bar{\nu}_e)=(3.882 \pm 0.032 \pm 0.056)\times10^{−2}$, and $B(\tau^- \to\pi^-\nu_\tau)/B(\tau^- \to e^-\nu_\tau\bar{\nu}_e)=(5.945 \pm 0.014 \pm 0.061)\times10^{−1}$ are measured which provide additional tests of charged current lepton universality, $(g_{\tau}/g_{\mu})_{\pi}= 0.9856 \pm 0.0057$ and $(g_{\tau}/g_{\mu})_{K}= 0.9827 \pm 0.0086$ which can be combined to give $(g_{\tau}/g_{\mu})_{\pi/K}= 0.9850 \pm 0.0054$. Any deviation of these measurements from the expected Standard Model values would be an indication of new physics.

No description available.

In this analysis the decay B- --&amp;gt; D*° e- nu is measured. The underlying data sample consists of about 226 million B-meson pairs accumulated on the Y(4S) resonance by the BABAR detector at the asymmetric e+e- collider PEP II. The reconstruction of the decay uses the channels D*° --&amp;gt; D° pi°, D° --&amp;gt; K- pi+ and pi° --&amp;gt; gamma gamma. The neutrino is not reconstructed. Since the rest frame of the B meson is unknown, the boost w of the D*° meson in the B meson rest frame is estimated by w'. The w' spectrum of the data is described in terms of the partial decay width dGamma/dw given by theory and the detector simulation translating each spectrum dGamma/dw into an expectation of the measured w' spectrum. dGamma/dw depends on a form factor F(w) parameterizing the strong interaction in the decay process. To find the best descriptive dGamma/dw a fit to the data determines the following two parameters of dGamma/dw: (i) F(1)|Vcb|, the product between F at zero D*°-recoil and the Quark mixing parameter |Vcb|; (ii) rho^2, a parameter of the form factor F(w). The former parameter scales the height of dGamma/dw and rho^2 varies the shape of it. The determined values of F(1)|Vcb|, rho^2 and the branching fraction BF(B- --&amp;gt; D*° e- nu) are F(1)|Vcb| = (35.8 +- 0.5 +- 1.5) x 10e-03, rho^2 = (1.08 +- 0.05 +- 0.09) and BF(B- --&amp;gt; D*° e- nu) = (5.60 +- 0.08 +- 0.42)%, where the uncertainties are statistical and systematic, respectively. The value of BF(B- --&amp;gt; D*° e- nu) has been determined by an integration of dGamma/dw over the allowed w range using the fitted values of F(1)|Vcb| and rho^2.

In this analysis the decay B- --&amp;gt; D*° e- nu is measured. The underlying data sample consists of about 226 million B-meson pairs accumulated on the Y(4S) resonance by the BABAR detector at the asymmetric e+e- collider PEP II. The reconstruction of the decay uses the channels D*° --&amp;gt; D° pi°, D° --&amp;gt; K- pi+ and pi° --&amp;gt; gamma gamma. The neutrino is not reconstructed. Since the rest frame of the B meson is unknown, the boost w of the D*° meson in the B meson rest frame is estimated by w'. The w' spectrum of the data is described in terms of the partial decay width dGamma/dw given by theory and the detector simulation translating each spectrum dGamma/dw into an expectation of the measured w' spectrum. dGamma/dw depends on a form factor F(w) parameterizing the strong interaction in the decay process. To find the best descriptive dGamma/dw a fit to the data determines the following two parameters of dGamma/dw: (i) F(1)|Vcb|, the product between F at zero D*°-recoil and the Quark mixing parameter |Vcb|; (ii) rho^2, a parameter of the form factor F(w). The former parameter scales the height of dGamma/dw and rho^2 varies the shape of it. The determined values of F(1)|Vcb|, rho^2 and the branching fraction BF(B- --&amp;gt; D*° e- nu) are F(1)|Vcb| = (35.8 +- 0.5 +- 1.5) x 10e-03, rho^2 = (1.08 +- 0.05 +- 0.09) and BF(B- --&amp;gt; D*° e- nu) = (5.60 +- 0.08 +- 0.42)%, where the uncertainties are statistical and systematic, respectively. The value of BF(B- --&amp;gt; D*° e- nu) has been determined by an integration of dGamma/dw over the allowed w range using the fitted values of F(1)|Vcb| and rho^2.