We present an analysis of the decay process $\overline{B}\to {\overline{K}}_2(1430){\ell }^{+}{\ell }^{-}$, where this process has all the features of the related and well investigated process $\overline{B}\to {\overline{K}}^{*}(890){\ell }^{+}{\ell }^{-}$, with theoretically comparable branching ratios. The differential decay rate as well as the forward-backward asymmetry are worked out, where the sensitivity of these to possible right-handed couplings for the related $b\to s$ radiative decay are also investigated.

Radiative corrections to gauge boson and Higgs production computed recently using soft-collinear effective theory require the one-loop high-scale matching coefficients in the standard model. We give explicit expressions for the matching coefficients for the effective field theory operators for $q\overline{q}\to VV$ and $q\overline{q}\to {\varphi }^{†}\varphi$ for a general gauge theory with an arbitrary number of gauge groups. The group theory factors are given explicitly for the standard model, including both QCD and electroweak corrections.

The holographic model for S-wave high $T_c$ superconductors developed by Hartnoll, Herzog, and Horowitz is generalized to describe D-wave superconductors. The $3+1$ dimensional gravitational theory consists of a symmetric, traceless second-rank tensor field and a $U(1)$ gauge field in the background of the anti-de Sitter black hole. Below $T_c$ the tensor field, which carries the $U(1)$ charge, undergoes the Higgs mechanism and breaks the $U(1)$ symmetry of the boundary theory spontaneously. The phase transition characterized by the D-wave condensate is second order with the mean field critical exponent $\beta =1/2$. As expected, the AC conductivity is isotropic below $T_c$, and the system becomes superconducting in the DC limit but has no hard gap.

Starting from a standard noncommutative gauge theory and using the Seiberg-Witten map, we propose a new version of a noncommutative gravity. We use consistent deformation theory starting from a free gauge action and gauging a killing symmetry of the background metric to construct a deformation of the gauge theory that we can relate with gravity. The result of this consistent deformation of the gauge theory is nonpolynomial in $A_{\mu }$. From here we can construct a version of noncommutative gravity that is simpler than previous attempts. Our proposal is consistent and is not plagued with the problems of other approaches like twist symmetries or gauging other groups.

We propose a model with quantum bosons on the fcc lattice, which has a stable algebraic Bose liquid phase at low energy. We show that this phase is described by emergent quantum gravity at the Gaussian $z=3$ Lifshitz fixed point in $3+1$ dimensions. The stability of this algebraic Bose liquid phase is guaranteed by the gauge symmetry of gravitons and self-duality of the low-energy field theory. By tuning one parameter in the lattice boson model we can drive a phase transition between the $z=3$ Lifshitz gravity and another algebraic Bose liquid phase, described by gravity at the $z=2$ Lifshitz point.

We present a toy model for interacting matter and geometry that explores quantum dynamics in a spin system as a precursor to a quantum theory of gravity. The model has no a priori geometric properties; instead, locality is inferred from the more fundamental notion of interaction between the matter degrees of freedom. The interaction terms are themselves quantum degrees of freedom so that the structure of interactions and hence the resulting local and causal structures are dynamical. The system is a Hubbard model where the graph of the interactions is a set of quantum evolving variables. We show entanglement between spatial and matter degrees of freedom. We study numerically the quantum system and analyze its entanglement dynamics. We analyze the asymptotic behavior of the classical model. Finally, we discuss analogues of trapped surfaces and gravitational attraction in this simple model.

We examine the thermodynamical properties of a number of asymptotically flat, stationary (but not static) solutions having conical singularities, with both connected and nonconnected event horizons, using the thermodynamical description recently proposed in [C. Herdeiro, B. Kleihaus, J. Kunz, and E. Radu, Phys. Rev. D 81, 064013 (2010).]. The examples considered are the double-Kerr solution, the black ring rotating in either $S^2$ or $S^1$, and the black Saturn, where the balance condition is not imposed for the latter two solutions. We show that not only the Bekenstein-Hawking area law is recovered from the thermodynamical description, but also the thermodynamical angular momentum is the Arnowitt-Deser-Misner angular momentum. We also analyze the thermodynamical stability and show that, for all these solutions, either the isothermal moment of inertia or the specific heat at constant angular momentum is negative, at any point in parameter space. Therefore, all these solutions are thermodynamically unstable in the grand canonical ensemble.

In the present paper we numerically construct new charged anti–de Sitter black holes coupled to nonlinear Born-Infeld electrodynamics within a certain class of scalar-tensor theories. The properties of the solutions are investigated both numerically and analytically. We also study the thermodynamics of the black holes in the canonical ensemble. For large values of the Born-Infeld parameter and for a certain interval of the charge values we find the existence of a first-order phase transition between small and very large black holes. An unexpected result is that for a certain small charge subinterval two phase transitions have been observed, one of zeroth and one of first order. It is important to note that such phase transitions are also observed for pure Einstein-Born-Infeld-AdS black holes.

We have made an analysis of limits on the neutrino mass based upon the formation of large-scale structure in the presence of a primordial magnetic field. We find that a new upper bound on the neutrino mass is possible based upon fits to the cosmic microwave background and matter power spectrum when the existing independent constraints on the matter density fluctuation parameter ${\sigma }_8$ and the primordial magnetic field are taken into account.

An analysis is given connecting event rates for the direct detection of neutralino dark matter with the possible signatures of supersymmetry at the LHC. It is shown that if an effect is seen in the direct detection experiments at a level of $O({10}^{-44}){\mathrm{cm}}^2$ for the neutralino-proton cross section, then within the minimal supergravity grand unified model the next heavier particle above the neutralino is either a stau, a chargino, or a $CP$ odd/$CP$ even (A/H) Higgs boson. Further, the collider analysis shows that models with a neutralino-proton cross section at the level of $(1-5)\times {10}^{-44}{\mathrm{cm}}^2$ could be probed with as little as $1{\mathrm{fb}}^{-1}$ of integrated luminosity at the LHC at $\sqrt{s}=7$, 10 TeV. The most recent limit from the five tower CDMS II result on weakly interacting massive particle-nucleon cross section is discussed in this context. It is argued that the conclusions of the analysis given here are more broadly applicable with inclusion of nonuniversalities in the supergravity grand unified models.

The jet function for the factorized cross section $e^{+}{e}^{-}$ into dijets is given as a function of the jet invariant mass $s$ and with a generic jet algorithm at $\mathcal{O}({\alpha }_s)$. We demonstrate the results using the Sterman-Weinberg algorithm and show that the jet function is independent of the energy fraction $\beta$ of the soft radiation. The anomalous dimension has the same form with and without the cone half-angle $\delta$. The dependence of the finite part of the jet function on the cone angle is given.

Photonic SUSY two-loop corrections to the muon magnetic moment are contributions from diagrams where an additional photon loop is attached to a SUSY one-loop diagram. These photonic corrections are evaluated exactly, extending a leading-log calculation by Degrassi and Giudice. Compact analytical expressions are provided and the numerical behavior is discussed. The photonic corrections reduce the SUSY one-loop result by 7%–9%. The new terms are typically around 10 times smaller than the leading logarithms, but they can be larger and have either sign in cases with large SUSY mass splittings. We also provide details on renormalization and regularization and on how to incorporate the photonic corrections into a full SUSY two-loop calculation.

The CDMS Collaboration has presented its results for the final exposure of the CDMS II experiment and reports that two candidate events for dark matter would survive after application of the various discrimination and subtraction procedures inherent in their analysis. We show that a population of relic neutralinos, which was already proved to fit the DAMA/LIBRA data on the annual-modulation effect, could naturally also explain the two candidate CDMS II events, if these are actually due to a dark matter signal.

Inhomogeneous recombination can give rise to perturbations in the electron number density which can be a factor of 5 larger than the perturbations in baryon density. We do a thorough analysis of the second order anisotropies generated in the cosmic microwave background due to perturbations in the electron number density. We show that solving the second order Boltzmann equation for photons is equivalent to solving the $\mathrm{\text{first}}+\mathrm{\text{second}}$ order Boltzmann equations and then taking the second order part of the solution. We find the approximate solution to the photon Boltzmann hierarchy in $\ell$ modes and show that the contributions from inhomogeneous recombination to the second order monopole, dipole, and quadrupole are numerically small. We also point out that perturbing the electron number density in the first order tight coupling and damping solutions for the monopole, dipole, and quadrupole is not equivalent to solving the second order Boltzmann equations for inhomogeneous recombination. Finally, we confirm our result in a previous paper that inhomogeneous recombination gives rise to a local type non-Gaussianity parameter $f_{\mathrm{NL}}\sim -1$. The signal to noise for the detection of the temperature bispectrum generated by inhomogeneous recombination is $\sim 1$ for an ideal full sky experiment measuring modes up to ${\ell }_{\max }=2500$.

We analyze the $5\sigma$ difference between the $CP$ asymmetries of the $B^0\to K^{+}{\pi }^{-}$ and $B^{+}\to K^{+}{\pi }^0$ decays within the soft collinear effective theory. We find that in the standard model, such a big difference cannot be achieved. We classify then the requirements for the possible New Physics models, which can be responsible for the experimental results. As an example of a New Physics model we study minimal supersymmetric models, and find that the measured asymmetry can be obtained with nonminimal flavor violation.

We study holographic superconductors in Einstein-Gauss-Bonnet gravity. We consider two particular backgrounds: a $d$-dimensional Gauss-Bonnet-AdS black hole and a Gauss-Bonnet-AdS soliton. We discuss in detail the effects that the mass of the scalar field, the Gauss-Bonnet coupling and the dimensionality of the AdS space have on the condensation formation and conductivity. We also study the ratio ${\omega }_g/T_c$ for various masses of the scalar field and Gauss-Bonnet couplings.

This work examines the finite temperature properties of the $CPT$-even and parity-odd electrodynamics of the standard model extension. The starting point is the partition function computed for an arbitrary and sufficiently small tensor $(k_F{)}_{\alpha \nu \rho \phi }$ [see R. Casana, M. M. Ferreira, Jr., J. S. Rodrigues, and M. R. O. Silva, Phys. Rev. D 80, 085026 (2009).]. After specializing the Lorentz-violating tensor $(k_F{)}_{\alpha \nu \rho \phi }$ for the leading-order-nonbirefringent and parity-odd coefficients, the partition function is explicitly carried out, showing that it is a power of the Maxwell partition function. Also, it is observed that the Lorentz invariance violation coefficients induce an anisotropy in the black-body angular energy density distribution. Planck’s radiation law retains its usual frequency dependence and the Stefan-Boltzmann law keeps the same form, except for a global proportionality constant.

In order to get an estimate of the homogeneity of the distribution of matter in a fast hadron or nucleus, we compute the correlations of the saturation scales $Q_s$ between different points in impact-parameter space, in some specific saturation models. We find that these correlations are quite strong: The saturation scale is nearly uniform in domains whose sizes scale like $\exp [\mathrm{const}\times {ln}^2(1/{\alpha }_s^2)]/Q_s$, which means that the density of gluons should not fluctuate significantly over regions of that typical size. We expect these conclusions as well as the explicit analytical expressions we obtain for the correlations to be true also for full QCD in appropriate limits.

In this paper, we carry out a study of viable cosmological models in $f(R)$ gravity at the background level. We use observable parameters like $\Omega$ and $\gamma$ to form an autonomous system of equations and show that the models under consideration exhibit two different regimes in their time evolution, namely, a phantom phase followed by a quintessencelike behavior. We employ state finder parameters to emphasize a characteristic discriminative signature of these models.

We compute the contribution of kinks on cosmic string loops to stochastic background of gravitational waves (SBGW). We find that kinks contribute at the same order as cusps to the SBGW. We discuss the accessibility of the total background due to kinks as well as cusps to current and planned gravitational-wave detectors, as well as to the big bang nucleosynthesis (BBN), the cosmic microwave background (CMB), and pulsar timing constraints. As in the case of cusps, we find that current data from interferometric gravitational-wave detectors, such as LIGO, are sensitive to areas of parameter space of cosmic string models complementary to those accessible to pulsar, BBN, and CMB bounds.