7025505
Exact Analysis of Scaling and Dominant Attractors Beyond the Exponential Potential
By considering the potential parameter Γ as a function of another potential parameter λ (Zhou et al 2008 Phys. Lett. B 660 7–12), we successfully extend the analysis of a two-dimensional autonomous dynamical system of a quintessence scalar field model to the analysis of a three-dimensional system, which enables us to study the critical points of a large number of potentials beyond the exponential potential exactly. We find that there are ten critical points in all, three points P3,5,6 are general points which are possessed by all quintessence models regardless of the form of potentials and the rest of the points are closely connected to the concrete potentials. It is quite surprising that, apart from the exponential potential, there are a large number of potentials which can give a scaling solution when the function f(λ)(=Γ(λ) − 1) equals zero for one or some values of λ and if the parameter λ also satisfies condition (16) or (17) at the same time. We give the differential equations to derive these potentials V() from f(λ). We also find that, if some conditions are satisfied, the de-Sitter-like dominant point P4 and the scaling solution point P9 (or P10) can be stable simultaneously unlike P9 and P10. Although we survey scaling solutions beyond the exponential potential for ordinary quintessence models in standard general relativity, this method can be applied to other extensively scaling solution models studied in the literature (Copeland et al 2006 Int. J. Mod. Phys. D 15 1753) including coupled quintessence, (coupled-)phantom scalar field, k-essence and even beyond the general relativity case H2 ∝ ρnT. We also discuss the disadvantage of our approach.
124704287
Branching Fractions and Direct $CP$ Asymmetries of $\overline B_s ^0 \to K^0 h^+h^{\prime -}(h^{(\prime)}=K,\pi)$ Decays
Motivated by the recent LHCb measurements of charmless three-body decays of $B_s^0$ meson, we calculate the branching fractions of $\overline B_s ^0 \to K^0 \pi^+\pi^-$, $\overline B_s ^0 \to K^0 K^+K^-$, $\overline B_s ^0 \to K^0 \pi^+K^-$ and $\overline B_s ^0 \to \overline K^0 K^+\pi^-$ decay modes within the factorization approach. The resonant and nonresonant contributions are studied in detail. For the decays $\overline B_s ^0 \to K^0 \pi^+\pi^-$ and $\overline B_s ^0 \to K^0 K^+K^-$, our results agree well with experimental data, and the former is dominated by the $K^*$ and $K_0^*(1430)$ poles, while the later one is dominated by the nonresonant contribution. Considering the flavor $SU(3)$ symmetry violation, the sum of branching fractions of $\overline B_s ^0 \to K^0 \pi^+K^-$ and $\overline B_s ^0 \to \overline K^0 K^+\pi^-$ could accommodate the data well. It should be noted that the branching fractions are very sensitive to the scalar density $\langle K\pi| \bar s q|0\rangle$. Furthermore, the resonant contributions are dominated by the scalar poles $K_0^*(1430)$. We hope that these branching fractions could be measured separately in the experiments so as to test the factorization approach. Moreover, the direct $CP$ asymmetries of these decays are also explored, which could be measured in the running LHCb experiment and Super-b factory in future.
118518380
Investigating the Effect of Family Non-universal $Z^\prime$ Boson in $B \to \phi\phi$ Decay
Within the perturbative QCD approach, we re-calculate the branching ratio and polarization fractions of the pure annihilation decay $B \to \phi \phi$ in both the standard model (SM) and the family non-universal $Z^\prime$ model. We find that this decay is dominated by the longitudinal part, while the transverse parts are negligibly due to the absence of the $(S-P)(S+P)$-type operator. In SM, the branching ratio is predicted as $(4.4^{+0.8+0.3}_{-0.6-0.5}) \times 10^{-8}$, which is larger than the previous predictions. With an additional $Z^\prime$ boson, the branching ratio can be enhanced by a factor of 2, or reduced one half in the allowed parameters space. These results will be tested by the ongoing LHCb experiment and forthcoming Super-B experiments. Moreover, if the $Z^\prime$ boson could be directly detected at hadron collider, this decay can be used to constrain its mass and the couplings in turn.
118638462
Branching Fractions and CP Asymmetries of B --> K_0*(1430) rho and B --> K_0^*(1430) phi Decays in the Family Nonuniversal Z' Model
In this work, within the QCD factorization approach, we investigate the branching fractions and CP asymmetries of decays $B \to K_0^*(1430)\rho$ and $B \to K_0^*(1430)\phi$ under two different scenarios both in the standard model and the family nonuniversal $Z^\prime$ model. We find that the annihilation terms play crucial roles in these decays and lead to the main uncertainties. For decays $B^- \to \bar K_0^{*-} (1430)\rho^0 (\omega)$, the new $Z^\prime$ boson could change branching fractions remarkably. However, for other decays, its contribution might be clouded by large uncertainties from annihilations. Unfortunately, neither the standard model nor $Z^\prime$ model can reproduce all experimental data under one certain scenario. We also noted that the CP asymmetries of $B^-\to \bar K_0^{*-}(1430) \rho^0 (\omega)$ could be used to identify the$K_0^*(1430)$ meson and search for the new physics contribution.
58938119
Exclusive soft function for Drell-Yan at next-to-next-to-leading order
We present next-to-next-to-leading-order (NNLO) results for an exclusive soft function that appears in a recently developed factorization theorem for transverse momentum distributions. The factorization theorem, derived using the Soft Collinear Effective Theory, involves both a soft function and unintegrated nucleon distribution functions fully differential in momentum coordinates. The soft function is given by the vacuum matrix element of soft Wilson lines and is also fully differential in all components. We give results and relevant technical details for the NNLO calculation of the soft function, including finite parts, and derive the corresponding anomalous dimension. These results are necessary for achieving low transverse momentum resummation at next-to-next-to-leading-logarithmic accuracy in this effective field theory approach with unintegrated distribution functions.
119109759
Q(6) flavor symmetry model for the extension of the minimal standard model by three right-handed sterile neutrinos
The extension of the minimal standard model by three right-handed sterile neutrinos with masses smaller than the electroweak scale (nu MSM) is discussed in a Q(6) flavor symmetry framework. The lightness of the keV sterile neutrino and the near mass degeneracy of two heavier sterile neutrinos are naturally explained by exploiting group properties of Q(6). A normal hierarchical mass spectrum and an approximately mu-tau symmetric mass matrix are predicted for three active neutrinos. Nonzero theta(13) can be obtained together with a deviation of theta(23) from the maximality, where both mixing angles are consistent with the latest global data including T2K and MINOS results. Furthermore, the tiny active-sterile mixing is related to the mass ratio between the lightest active and lightest sterile neutrinos.
115635245
Topological sigma models and generalized geometries
We study the relation between topological sigma models and generalized geometries. The existence conditions for the most general type of topological sigma models obtained from twisting the N=(2,2) supersymmetric sigma model are investigated, and are found to be related to twisted generalized Calabi-Yau structures. The properties of these topological sigma models are analyzed in detail. The observables are shown to be described by the cohomology of a Lie algebroid, which is intrinsically associated with the twisted generalized Calabi-Yau structure. The Frobenius structure on the space of states and the effects of instantons are analyzed. We also study D-branes in these topological sigma models, and demonstrate that they also admit descriptions in terms of generalized geometries.
118502239
Electroweak Corrections at High Energies
We present a survey of the most abundant processes at the LHC for sensitivity to electroweak corrections at \sqrt{s} = 8, 14, 33, and 100 TeV proton-proton collision energies. The processes studied are pp -> dijet, inclusive W and Z, W/Z+jets, and WW. In each case we compare the experimental uncertainty in the highest kinematic regions of interest with the relative magnitude of electroweak corrections and fixed-order \alpha_S calculations.
120831466
Noncoplanarity effects in proton-proton bremsstrahlung
Noncoplanarity in proton-proton bremsstrahlung is investigated. Significant effects are observed for certain photon polar angles, psi(gamma). Such noncoplanarity effects, not of dynamical origin, are possibly responsible for past disagreements between theory and experiment. The Harvard noncoplanar coordinate system, which avoids kinematic singularities in the cross section, is used in our calculations and is recommended for use in the analysis of experimental data. Alternative methods of presenting cross sections are discussed. [S0556-2813(98)50110-0].