No abstract

The proposed measurement is a dedicated study of the exclusive electroproduction process, 1 H(e, e ′ p)π 0 , in the backward-angle regime (u-channel process) above the resonance region. Here, the produced π 0 is emitted 180 degrees opposite to the virtual-photon momentum (at large momentum transfer). This study also aims to apply the well-known Rosenbluth separation technique that provides the model-independent (L/T) differential cross-section at the never explored u-channel kinematics region (−t = −t max , −u = −u min ).Currently, the "soft-hard transition" in u-channel meson production remains an interesting and unexplored subject. The available theoretical frameworks offer competing interpretations for the observed backward-angle cross section peaks. In a "soft" hadronic Regge exchange description, the backward meson production comes from the interference between nucleon exchange and the meson produced via re-scattering within the nucleon. Whereas in the "hard" GPD-like backward collinear factorization regime, the scattering amplitude factorizes into a hard subprocess amplitude and baryon to meson transition distribution amplitudes (TDAs), otherwise known as super skewed parton distributions (SuperSPDs). Both TDAs and SPDs are universal non-perturbative objects of nucleon structure accessible only through backward-angle kinematics.The separated cross sections: σ T , σ L and (σ T /σ L ) ratio at Q 2 =2-6 GeV 2 , provide a direct test of two predictions from the TDA model: σ T ∝ 1/Q 8 and the σ T ≫ σ L in u-channel kinematics. The magnitude and u-dependence of the separated cross sections also provide a direct connection to the re-scattering Regge picture. The extracted interaction radius (from u-dependence) at different Q 2 can be used to study the soft-hard transition in the u-channel kinematics. The acquisition of these data will be an important step forward in validating the existence of a backward factorization scheme (TDA and SuperSPD) of the nucleon structure function and establishing its applicable kinematic range.

We calculate the third-order moments of scalar curvature perturbations in configuration space for different inflationary models. We develop a robust numerical technique to compute the bispectrum for different models that have some features in the inflationary potential. From the bispectrum we evaluate moments analytically in the slow-roll regime while we devise a numerical mechanism to calculated these moments for non-slow-roll single-field inflationary models with a standard kinetic term that are minimally coupled to gravity. With the help of these third-order moments one can directly predict many non-Gaussian and geometrical measures of cosmic microwave background distributions in the configuration space. Thus, we devise a framework to calculate different thirdorder moments and geometrical measures, e.g. Minkowski functionals or the skeleton statistic, generated by different single-field models of inflation.

The B → K * 2 (1430)l + l − (l = µ, τ ) decays are analyzed in the Standard Model extended to fourth generation of quarks (SM4). The decay rate, forward-backward asymmetry, lepton polarization asymmetries and the helicity fractions of the final state K * 2 (1430) meson are obtained using the form factors calculated in the light cone sum rules (LCSR) approach. We have utilized the constraints on different fourth generation parameters obtained from the experimental information on K, B and