Present knowledge of QCD $n$-point functions of Wilson lines at high energies is rather limited. In practical applications, it is therefore customary to factorize higher $n$-point functions into products of two-point functions (dipoles) which satisfy the Balitsky-Kovchegov–evolution equation. We employ the Jalilian-Marian–Iancu–McLerran–Weigert–Leonidov–Kovner formalism to derive explicit evolution equations for the 4- and 6-point functions of fundamental Wilson lines and show that if the Gaussian approximation is carried out before the rapidity evolution step is taken, then many leading order $N_c$ contributions are missed. Our evolution equations could specifically be used to improve calculations of forward dijet angular correlations, recently measured by the STAR Collaboration in deuteron-gold collisions at the RHIC collider. Forward dijets in proton-proton collisions at the LHC probe QCD evolution at even smaller light-cone momentum fractions. Such correlations may provide insight into genuine differences between the Jalilian-Marian–Iancu–McLerran–Weigert–Leonidov–Kovner and Balitsky-Kovchegov approaches.

We study the mass spectrum and decay constants of light and heavy mesons in a soft-wall holographic approach, using the correspondence of string theory in Anti-de Sitter space and conformal field theory in physical space-time.

We discuss tests of the charged Higgs sector of the two Higgs doublet model (2HDM) of type II in the light of recent flavor physics data. Particular attention is paid to recent measurement of purely leptonic decays of heavy-light mesons, which depart more or less significantly from the standard model (SM) predictions. We derive constraints on the parameters of the 2HDM type II from leptonic and semileptonic $\Delta F=1$ decays as well as loop processes ($b\to s\gamma$, $B\overline{B}$ mixing, or $Z\to \overline{b}b$) sensitive to charged Higgs contributions. The outcome of this work is that while 2HDM type II can fit the individual observable through fine-tuning schemes, in a combined analysis it does not perform better than the standard model by favoring a decoupling solution. Assuming that 2HDM type II is realized in nature, constraints on its parameters ($m_{H^{+}}$ and $\tan \beta$) are derived. A limit on the charged Higgs mass $m_{H^{+}}>316\mathrm{GeV}$ at 95% CL is obtained irrespective of the value of $\tan \beta$. This limit is dominated by the $b\to s\gamma$ branching ratio measurement. All results have been obtained with the CKMfitter analysis package, featuring the frequentist statistical approach $R\mathrm{fit}$ to handle theoretical uncertainties.

We report a measurement of $CP$ violating asymmetries in $B^0({\overline{B}}^0)\to K^{+}{K}^{-}{K}_S^0$ decays with a time-dependent Dalitz approach. This analysis is based on a data sample of $657\times {10}^6$ $B\overline{B}$ pairs accumulated at the ${\rm Y}(4S)$ resonance with the Belle detector at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider. As the result of an unbinned maximum likelihood fit to the selected candidates, the mixing-induced and direct $CP$ violation parameters ${\varphi }_1^{\mathrm{eff}}$ and ${\mathcal{A}}_{CP}$ are obtained for $B^0\to \varphi (1020)K_S^0$, $B^0\to f_0(980)K_S^0$, and other $B^0\to K^{+}{K}^{-}{K}_S^0$ decays. We find four solutions that describe the data. There are ${\varphi }_1^{\mathrm{eff}}(B^0\to \varphi (1020)K_S^0)=(32.2\pm 9.0\pm 2.6\pm 1.4)°;{\varphi }_1^{\mathrm{eff}}(B^0\to \varphi (1020)K_S^0)=(26.2\pm 8.8\pm 2.7\pm 1.2)°;{\varphi }_1^{\mathrm{eff}}(B^0\to \varphi (1020)K_S^0)=(27.3\pm 8.6\pm 2.8\pm 1.3)°;\mathrm{\text{and}}{\varphi }_1^{\mathrm{eff}}(B^0\to \varphi (1020)K_S^0)=(24.3\pm 8.0\pm 2.9\pm 5.2)°.$ The values for the $CP$ violating phase in $B^0\to \varphi (1020)K_S^0$ are similar, but other properties of the Dalitz plot are quite different for the four solutions. These four solutions have consistent ${\varphi }_1^{\mathrm{eff}}$ values for all three $B$-meson decay channels and none of them deviates significantly from the values measured in $B\to (c\overline{c})K^0$ decays with the currently available statistics. In addition, we find no significant direct $CP$ violation.

We consider new massive gravity (NMG) type models in the context of AdS/CFT. By demanding the existence of a holographic $c$ theorem, we construct an infinite family of three-dimensional quantum gravity models, generalizing the NMG Lagrangian to arbitrarily high order in curvatures. We calculate the central charge $c$ and show that using Cardy’s formula it matches the entropy of black hole solutions. We also consider fluctuations about an anti-de Sitter background, finding ghostlike massive modes as in NMG. However, these can (a) be made massless by setting $c=0$, in which case these Lagrangians are expected to provide gravity duals for strongly coupled logarithmic conformal field theories, (b) be eliminated by imposing a single constraint on the parameters of the Lagrangian, thereby obtaining an infinite family of theories with the same perturbative content of three-dimensional general relativity.

In a previous paper we showed that the phase space of loop quantum gravity on a fixed graph can be parametrized in terms of twisted geometries, quantities describing the intrinsic and extrinsic discrete geometry of a cellular decomposition dual to the graph. Here we unravel the origin of the phase space from a geometric interpretation of twistors.

A cornerstone of the loop quantum gravity program is the fact that the phase space of general relativity on a fixed graph can be described by a product of SU(2) cotangent bundles per edge. In this paper we show how to parametrize this phase space in terms of quantities describing the intrinsic and extrinsic geometry of the triangulation dual to the graph. These are defined by the assignment to each face of its area, the two unit normals as seen from the two polyhedra sharing it, and an additional angle related to the extrinsic curvature. These quantities do not define a Regge geometry, since they include extrinsic data, but a looser notion of discrete geometry which is twisted in the sense that it is locally well-defined, but the local patches lack a consistent gluing among each other. We give the Poisson brackets among the new variables, and exhibit a symplectomorphism which maps them into the Poisson brackets of loop gravity. The new parametrization has the advantage of a simple description of the gauge-invariant reduced phase space, which is given by a product of phase spaces associated to edges and vertices, and it also provides an Abelianization of the SU(2) connection. The results are relevant for the construction of coherent states and, as a byproduct, contribute to clarify the connection between loop gravity and its subset corresponding to Regge geometries.

We develop a previously proposed gauge-invariant method to integrate out an infinite tower of Kaluza-Klein (KK) modes of vector and axial-vector mesons in a class of models of holographic QCD (HQCD). The HQCD is reduced by our method to chiral perturbation theory with hidden local symmetry (HLS), having only the lowest KK mode identified as the HLS gauge boson. We take the Sakai-Sugimoto model as a concrete HQCD, and completely determine the $\mathcal{O}(p^4)$ terms as well as the $\mathcal{O}(p^2)$ terms from the Dirac-Born-Infeld part and the anomaly-related (intrinsic-parity odd) gauge-invariant terms from the Chern-Simons part. Effects of higher KK modes are fully included in these terms. To demonstrate the power of our method, we compute momentum dependences of several form factors, such as the pion electromagnetic form factors, and the ${\pi }^0\mathrm{\text{−}}\gamma$ and $\omega \mathrm{\text{−}}{\pi }^0$ transition form factors, compared with experiment, which was not achieved before due to the complication of handling infinite sums. We also study other anomaly-related quantities like ${\gamma }^{*}\mathrm{\text{−}}{\pi }^0\mathrm{\text{−}}{\pi }^{+}\mathrm{\text{−}}{\pi }^{-}$ and $\omega \mathrm{\text{−}}{\pi }^0\mathrm{\text{−}}{\pi }^{+}\mathrm{\text{−}}{\pi }^{-}$ vertex functions.

We explore direct collider probes of the resonant leptogenesis mechanism for the origin of matter. We work in the context of theories where the standard model (SM) is extended to include an additional gauged U(1) symmetry broken at the TeV scale, and where the light neutrinos obtain mass through a type I seesaw at this scale. The $CP$ asymmetry that generates the observed matter-antimatter asymmetry manifests itself in a difference between the number of positive and negative like-sign dileptons $N({\ell }^{+}{\ell }^{+})-N({\ell }^{-}{\ell }^{-})$ that arise in the decay of the new $Z^{\prime }$ gauge boson to two right-handed neutrinos $N$, and their subsequent decay to leptons. The relatively low efficiency of resonant leptogenesis in this class of models implies that the $CP$ asymmetry, $\epsilon$, is required to be sizable, i.e., of order one. In particular, from the sign of the baryon asymmetry of the Universe, an excess of antileptons is predicted. We identify the domains in $M_{Z^{\prime }}-M_N$ space where such a direct test is possible and find that with $300{\mathrm{fb}}^{-1}$ of data and no excess found, the LHC can set the $2\sigma$ exclusion limit $\epsilon \lesssim 0.22$.

We determine the strong coupling constant ${\alpha }_s$ from a lattice calculation of vacuum polarization functions (VPF) in three-flavor QCD with dynamical overlap fermions. Fitting lattice data of VPF to the continuum perturbative formula including the operator product expansion, we extract the QCD scale parameter ${\Lambda }_{\overline{\mathrm{MS}}}^{(3)}$. At the $Z$ boson mass scale, we obtain ${\alpha }_s^{(5)}(M_Z)=0.1181(3)(\genfrac{}{}{0ex}{}{+14}{-12})$, where the first error is statistical and the second is our estimate of various systematic uncertainties.

Using the top-down approach, we study intersecting Dp-Dq brane configuration in string theory and find examples, where there can be a quantum phase transition at zero temperature induced by the violation of the Breitenlohner-Freedman bound at IR, which is done essentially by a combination of charge density and magnetic fields. In particular, there exists a Berezinskii-Kosterlitz-Thouless (BKT) type of transition for D3-D5 and D5-D5 systems. The study of the BKT type of transition is initiated by Jensen et al. [Phys. Rev. Lett. 105, 041601 (2010)] for a D3-D5 system with nonzero charge density and a magnetic field. Here, we show that one can have the BKT transition for a D3-D5 system even in the absence of charge density but requires multiple magnetic fields. In this case the field theory lives in $2+1$ dimensions, whereas for the D5-D5 type, the transition requires the presence of both the charge density and magnetic fields and the dual field theory lives on a $3+1$ dimensional spacetime. We also study the D3-D7 system but it does not show the BKT type of transition.

Static axisymmetric thin-shell wormholes are constructed within the framework of the Brans-Dicke scalar-tensor theory of gravity. Examples of wormholes associated with vacuum and electromagnetic fields are studied. All constructions must be threaded by exotic matter, except in the case of geometries with a singularity of finite radius, associated with an electric field, which can have a throat supported by ordinary matter. These results are achieved with any of the two definitions of the flare-out condition considered.

We present a measurement of the decay $B^{-}\to {\tau }^{-}{\overline{\nu }}_{\tau }$ using a data sample containing $657\times {10}^6$ $B\overline{B}$ pairs collected at the ${\rm Y}(4S)$ resonance with the Belle detector at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider. A sample of $B^{+}{B}^{-}$ pairs are tagged by reconstructing one $B^{+}$ meson decaying semileptonically. We detect the $B^{-}\to {\tau }^{-}{\overline{\nu }}_{\tau }$ candidate in the recoil. We obtain a signal with a significance of 3.6 standard deviations including systematic uncertainties, and measure the branching fraction to be $\mathcal{B}(B^{-}\to {\tau }^{-}{\overline{\nu }}_{\tau })=[{1.54}_{-0.37}^{+0.38}(\mathrm{stat}{)}_{-0.31}^{+0.29}(\mathrm{syst})]\times {10}^{-4}$. This result confirms the evidence for $B^{-}\to {\tau }^{-}{\overline{\nu }}_{\tau }$ obtained in a previous Belle measurement that used a hadronic $B$ tagging method.

Using a duality approach we give an example of modeling nonlocal and mixed condensates whose behavior mimics that of QCD. Quantitatively, the estimated value of the condensate parameter $m_0^2$ is approximately $0.6–0.7{\mathrm{GeV}}^2$.

We analyze the class of nonlinear electrodynamics minimally coupled to gravitation supporting asymptotically flat non-Schwarzschild-like elementary solutions. The Lagrangian densities governing the dynamics of these models in flat space are defined and fully characterized as a subclass of the set of functions of the two standard field invariants, restricted by requirements of regularity, parity invariance and positivity of the energy, which are necessary conditions for the theories to be physically admissible. Such requirements allow for a complete characterization and classification of the geometrical structures of the elementary solutions for the corresponding gravity-coupled models. In particular, an immediate consequence of the requirement of positivity of the energy is the asymptotic flatness of gravitating elementary solutions for any admissible model. The present analysis, together with the (already published) one concerning the full class of admissible gravitating nonlinear electrodynamics supporting asymptotically flat Schwarzschild-like elementary solutions, completes and exhausts the study of the gravitating pointlike charge problem for this kind of models.

We analytically find the exact propagation modes of the electromagnetic and the Kalb-Ramond fields together in a five-dimensional curved space-time. The existence and localization of gauge particles into our four-dimensional world (4D) is studied in detail on a brane-world scenario in which two gauge fields interact with a dilaton and a gravitational background. The coupling to the dilaton is different in each case causing the splitting between gauge spectra. The gauge-field zero-modes and an infinite tower of Kaluza-Klein massive states are analytically obtained. Relevant conditions on the dilaton coupling constant are found in order to identify with precision every finite tensor and vector eigenstate in the theory. An exact quantization condition on the whole mass spectrum, depending on the dilaton coupling constant and the bulk Planck mass, is inherited from the extra-dimension. This allows finding an exact rule to prevent tachyons in the theory and, by the same token, predicting a possible tensor zero-mode in 4D world. We also show that KK massive-modes contributions onto 4D physics are strongly suppressed.

We discuss the predictivity of family symmetries for the soft supersymmetry breaking parameters in the framework of supergravity. We show that unknown details of the messenger sector and the supersymmetry breaking hidden sector enter into the soft parameters, making it difficult to obtain robust predictions. We find that there are specific choices of messenger fields which can improve the predictivity for the soft parameters.

The spectral triple approach to noncommutative geometry allows one to develop the entire standard model (and supersymmetric extensions) of particle physics from a purely geometry standpoint and thus treats both gravity and particle physics on the same footing. The bosonic sector of the theory contains a modification to Einstein-Hilbert gravity, involving a nonconformal coupling of curvature to the Higgs field and conformal Weyl term (in addition to a nondynamical topological term). In this paper we derive the weak-field limit of this gravitational theory and show that the production and dynamics of gravitational waves are significantly altered. In particular, we show that the graviton contains a massive mode that alters the energy lost to gravitational radiation, in systems with evolving quadrupole moment. We explicitly calculate the general solution and apply it to systems with periodically varying quadrupole moments, focusing, in particular, on the well-known energy loss formula for circular binaries.

The basic theory on relativistic positioning systems in a two-dimensional space-time has been presented in two previous papers [B. Coll, J. J. Ferrando, and J. A. Morales, Phys. Rev. D 73, 084017 (2006); B. CollJ. J. FerrandoJ. A. MoralesPhys. Rev. D74, 104003 (2006)], where the possibility of making relativistic gravimetry with these systems has been analyzed by considering specific examples. Here, generic relativistic positioning systems in the Minkowski plane are studied. The information that can be obtained from the data received by a user of the positioning system is analyzed in detail. In particular, it is shown that the accelerations of the emitters and of the user along their trajectories are determined by the sole knowledge of the emitter positioning data and of the acceleration of only one of the emitters. Moreover, as a consequence of the so-called master delay equation, the knowledge of this acceleration is only required during an echo interval, i.e., the interval between the emission time of a signal by an emitter and its reception time after being reflected by the other emitter. These results are illustrated with the obtention of the dynamics of the emitters and of the user from specific sets of data received by the user.

In this paper, we investigate the integrated Sachs-Wolfe effect in the quintessence cold dark matter model with constant equation of state and constant speed of sound in dark energy rest frame, including dark energy perturbation and its anisotropic stress. Comparing with the $\Lambda \mathrm{CDM}$ model, we find that the integrated Sachs-Wolfe (ISW)-power spectrums are affected by different background evolutions and dark energy perturbation. As we change the speed of sound from 1 to 0 in the quintessence cold dark matter model with given state parameters, it is found that the inclusion of dark energy anisotropic stress makes the variation of magnitude of the ISW source uncertain due to the anticorrelation between the speed of sound and the ratio of dark energy density perturbation contrast to dark matter density perturbation contrast in the ISW-source term. Thus, the magnitude of the ISW-source term is governed by the competition between the alterant multiple of ($1+3/2\times {\widehat{c}}_s^2$) and that of ${\delta }_{\mathrm{de}}/{\delta }_m$ with the variation of ${\widehat{c}}_s^2$.