We study in-medium spectral properties of charmonia in the vector and pseudoscalar channels at nonzero momenta on quenched lattices, especially focusing on their dispersion relation and the weight of the peak. We measure the lattice Euclidean correlation functions with nonzero momenta on the anisotropic quenched lattices and study the spectral functions with the maximum entropy method. The dispersion relations of charmonia and the momentum dependence of the weight of the peak are analyzed with the maximum entropy method together with the errors estimated probabilistically in this method. We find a significant increase of the masses of charmonia in medium. We also find that the functional form of the charmonium dispersion relations is not changed from that in the vacuum within the error even at $T\simeq 1.6T_{\mathrm{c}}$ for all the channels we analyze.

We present a comprehensive analysis of the spacelike nucleon electromagnetic form factors and their flavor decomposition within the framework of light-front (LF) holographic QCD (LFHQCD) We show that the inclusion of the higher Fock components $|qqqq\overline{q}⟩$ has a significant effect on the spin-flip elastic Pauli form factor and almost zero effect on the spin-conserving Dirac form factor. We present light-front holographic QCD results for the proton and neutron form factors at any momentum transfer range, including asymptotic predictions, and show that our results agree with the available experimental data with high accuracy. In order to correctly describe the Pauli form factor we need an admixture of a five quark state of about 30% in the proton and about 40% in the neutron. We also extract the nucleon charge and magnetic radii and perform a flavor decomposition of the nucleon electromagnetic form factors. The free parameters needed to describe the experimental nucleon form factors are very few: two parameters for the probabilities of higher Fock states for the spin-flip form factor and a phenomenological parameter $r$, required to account for possible SU(6) spin-flavor symmetry breaking effects in the neutron, whereas the Pauli form factors are normalized to the experimental values of the anomalous magnetic moments. The covariant spin structure for the Dirac and Pauli nucleon form factors prescribed by ${\mathrm{AdS}}_5$ semiclassical gravity incorporates the correct twist scaling behavior from hard scattering and also leads to vector dominance at low energy.

The recent experimental results of the LHCb Collaboration suggested the existence of pentaquark states with a charmonium. To understand the structure of the states, a dynamical calculation of 5-quark systems with quantum numbers $I{J}^P=\frac{1}{2}(\frac{1}{2}{)}^{\pm }$, $\frac{1}{2}(\frac{3}{2}{)}^{\pm }$ and $\frac{1}{2}(\frac{5}{2}{)}^{\pm }$ is performed in the framework of the chiral quark model with the help of the Gaussian expansion method. The results show that there are several negative parity resonance states while all of the positive parity states are the scattering states. The $P_c(4380)$ state is suggested to be the pentaquark state of ${\mathrm{\Sigma }}_c^{*}\overline{D}$. Although the energy of ${\mathrm{\Sigma }}_c{\overline{D}}^{*}$ is very close to the mass of $P_c(4450)$, the inconsistent parity prevents the assignment. The calculated distances between quarks confirm the molecular nature of the states.

By considering the 3-3-1 and the left-right symmetric models as low-energy effective theories of the $SU(3{)}_C\otimes SU(3{)}_L\otimes SU(3{)}_R$ (for short $[SU(3){]}^3$) gauge group, alternative versions of these models are found. The new neutral gauge bosons of the universal 3-3-1 model and its flipped versions are presented; also, the left-right symmetric model and its flipped variants are studied. Our analysis shows that there are two flipped versions of the universal 3-3-1 model, with the particularity that both of them have the same weak charges. For the left-right symmetric model, we also found two flipped versions; one of them is new in the literature and, unlike those of the 3-3-1, requires a dedicated study of its electroweak properties. For all the models analyzed, the couplings of the $Z^{\prime }$ bosons to the standard model fermions are reported. The explicit form of the null space of the vector boson mass matrix for an arbitrary Higgs tensor and gauge group is also presented. In the general framework of the $[SU(3){]}^3$ gauge group, and by using the LHC experimental results and EW precision data, limits on the $Z^{\prime }$ mass and the mixing angle between $Z$ and the new gauge bosons $Z^{\prime }$ are obtained. The general results call for very small mixing angles in the range $10^{-3}$ radians and $M_{Z^{\prime }}>2.5\mathrm{TeV}$.

We compute the twist-three fragmentation contribution to the transverse single spin asymmetry (SSA) in light hadron production $p^{\uparrow }p\to hX$ and $p^{\uparrow }A\to hX$ including the gluon saturation effect in the unpolarized nucleon/nucleus. Together with the results in our previous paper, this completes the full evaluation of the SSA in this process in the “hybrid” formalism. We argue that the dependence of SSAs on the atomic mass number in the forward region can elucidate the relative importance of the soft gluon pole contribution from the twist-three quark-gluon-quark correlation in the polarized nucleon and the twist-three fragmentation contribution from the final state hadron.

The first observation of the rare decay $B_s^0\to \varphi {\pi }^{+}{\pi }^{-}$ and evidence for $B^0\to \varphi {\pi }^{+}{\pi }^{-}$ are reported, using $pp$ collision data recorded by the LHCb detector at center-of-mass energies $\sqrt{s}=7$ and 8 TeV, corresponding to an integrated luminosity of $3{\mathrm{fb}}^{-1}$. The branching fractions in the ${\pi }^{+}{\pi }^{-}$ invariant mass range $400<m({\pi }^{+}{\pi }^{-})<1600\mathrm{MeV}/c^2$ are $[3.48\pm 0.23\pm 0.17\pm 0.35]\times {10}^{-6}$ and $[1.82\pm 0.25\pm 0.41\pm 0.14]\times {10}^{-7}$ for $B_s^0\to \varphi {\pi }^{+}{\pi }^{-}$ and $B^0\to \varphi {\pi }^{+}{\pi }^{-}$ respectively, where the uncertainties are statistical, systematic and from the normalization mode $B_s^0\to \varphi \varphi$. A combined analysis of the ${\pi }^{+}{\pi }^{-}$ mass spectrum and the decay angles of the final-state particles identifies the exclusive decays $B_s^0\to \varphi f_0(980)$, $B_s^0\to \varphi f_2(1270)$, and $B_s^0\to \varphi {\rho }^0$ with branching fractions of $[1.12\pm 0.16_{-0.08}^{+0.09}\pm 0.11]\times {10}^{-6}$, $[0.61\pm 0.13_{-0.05}^{+0.12}\pm 0.06]\times {10}^{-6}$ and $[2.7\pm 0.7\pm 0.2\pm 0.2]\times {10}^{-7}$, respectively.

The relation between loop quantum gravity (LQG) and tensor networks is explored from the perspectives of the bulk-boundary duality and holographic entanglement entropy. We find that the LQG spin-network states in a space $\mathrm{\Sigma }$ with boundary $\partial \mathrm{\Sigma }$ is an exact holographic mapping similar to the proposal in [X.-L. Qi, Exact holographic mapping and emergent space-time geometry, arXiv:1309.6282]. The tensor network, understood as the boundary quantum state, is the output of the exact holographic mapping emerging from a coarse-graining procedure of spin networks. Furthermore, when a region $A$ and its complement $\overline{A}$ are specified on the boundary $\partial \mathrm{\Sigma }$, we show that the boundary entanglement entropy $S(A)$ of the emergent tensor network satisfies the Ryu-Takayanagi formula in the semiclassical regime, i.e., $S(A)$ is proportional to the minimal area of the bulk surface attached to the boundary of $A$ in $\partial \mathrm{\Sigma }$.

We investigate how the consistency relations of large-scale structures are modified when the initial density field is not Gaussian. We consider both scenarios where the primordial density field can be written as a nonlinear functional of a Gaussian field and more general scenarios where the probability distribution of the primordial density field can be expanded around the Gaussian distribution, up to all orders over ${\delta }_{L0}$. Working at linear order over the non-Gaussianity parameters $f_{\mathrm{NL}}^{(n)}$ or $S_n$, we find that the consistency relations for the matter density fields are modified as they include additional contributions that involve all-order mixed linear-nonlinear correlations $⟨\prod {\delta }_L\prod \delta ⟩$. We derive the conditions needed to recover the simple Gaussian form of the consistency relations. This corresponds to scenarios that become Gaussian in the squeezed limit. Our results also apply to biased tracers and velocity or momentum cross-correlations.

We study supersymmetric (SUSY) models derived from the ten-dimensional SUSY Yang-Mills theory compactified on magnetized orbifolds, with nonvanishing Fayet-Iliopoulos (FI) terms induced by magnetic fluxes in extra dimensions. Allowing the presence of FI-terms relaxes a constraint on flux configurations in SUSY model building based on magnetized backgrounds. In this case, charged fields develop their vacuum expectation values to cancel the FI-terms in the D-flat directions of fluxed gauge symmetries, which break the gauge symmetries and lead to a SUSY vacuum. Based on this idea, we propose a new class of SUSY magnetized orbifold models with three generations of quarks and leptons. Especially, we construct a model where the right-handed sneutrinos develop their vacuum expectation values which restore the supersymmetry but yield lepton number violating terms below the compactification scale, and show their phenomenological consequences.

Following a recent proposal by Cooper and Zwanziger, we investigate via $SU(2)$ lattice simulations the effect on the Coulomb gauge propagators and on the Gribov-Zwanziger confinement mechanism of selecting the Gribov copy with the smallest nontrivial eigenvalue of the Faddeev-Popov operator, i.e., the one closest to the Gribov horizon. Although such choice of gauge drives the ghost propagator towards the prediction of continuum calculations, we find that it actually overshoots the goal. With increasing computer time, we observe that Gribov copies with arbitrarily small eigenvalues can be found. For such a method to work, one would therefore need further restrictions on the gauge condition to isolate the physically relevant copies, since, for example, the Coulomb potential $V_C$ defined through the Faddeev-Popov operator becomes otherwise physically meaningless. Interestingly, the Coulomb potential alternatively defined through temporal link correlators is only marginally affected by the smallness of the eigenvalues.

The scaling behavior of the order parameter at the chiral phase transition, the so-called magnetic equation of state, of strongly interacting matter is studied within effective models. We explore universal and nonuniversal structures near the critical point. These include the scaling functions, the leading corrections to scaling, and the corresponding size of the scaling window as well as their dependence on an external symmetry breaking field. We consider two models in the mean-field approximation, the quark-meson and the Polyakov loop extended quark-meson (PQM) models, and compare their critical properties with a purely bosonic theory, the $O(N)$ linear sigma model in the $N\to \infty$ limit. In these models the order parameter scaling function is found analytically using the high temperature expansion of the thermodynamic potential. The effects of a gluonic background on the nonuniversal scaling parameters are studied within the PQM model.

We report new constraints on flavor-changing nonstandard neutrino interactions from the MINOS long-baseline experiment using ${\nu }_e$ and ${\overline{\nu }}_e$ appearance candidate events from predominantly ${\nu }_{\mu }$ and ${\overline{\nu }}_{\mu }$ beams. We used a statistical selection algorithm to separate ${\nu }_e$ candidates from background events, enabling an analysis of the combined MINOS neutrino and antineutrino data. We observe no deviations from standard neutrino mixing, and thus place constraints on the nonstandard interaction matter effect, $|{ϵ}_{e\tau }|$, and phase, $({\delta }_{CP}+{\delta }_{e\tau })$, using a 30-bin likelihood fit.

We present a measurement of top quark polarization in $t\overline{t}$ pair production in $p\overline{p}$ collisions at $\sqrt{s}=1.96\mathrm{TeV}$ using data corresponding to $9.7{\mathrm{fb}}^{-1}$ of integrated luminosity recorded with the D0 detector at the Fermilab Tevatron Collider. We consider final states containing a lepton and at least three jets. The polarization is measured through the distribution of lepton angles along three axes: the beam axis, the helicity axis, and the transverse axis normal to the $t\overline{t}$ production plane. This is the first measurement of top quark polarization at the Tevatron using $\mathrm{lepton}+\text{jet}$ final states and the first measurement of the transverse polarization in $t\overline{t}$ production. The observed distributions are consistent with standard model predictions of nearly no polarization.

We study seven-branes in $O(10^{15})$ four-dimensional F-theory compactifications where seven-brane moduli must be tuned in order to achieve non-Abelian gauge symmetry. The associated compact spaces $B$ are the set of all smooth weak Fano toric threefolds. By a study of fine-star-regular triangulations of three-dimensional reflexive polytopes, the number of such spaces is estimated to be $5.8\times 10^{14}\lesssim N_{\text{bases}}\lesssim 1.8\times 10^{17}$. Typically hundreds or thousands of moduli must be tuned to achieve symmetry for $h^{11}(B)<10$, but the average number drops sharply into the range $O(25)–O(200)$ as $h^{11}(B)$ increases. For some low-rank groups, such as $SU(2)$ and $SU(3)$, there exist examples where only a few moduli must be tuned in order to achieve seven-brane gauge symmetry.

Blue axion isocurvature perturbations are both theoretically well motivated and interesting from a detectability perspective. These power spectra generically have a break from the blue region to a flat region. Previous investigations of the power spectra were analytic, which left a gap in the predicted spectrum in the break region due to the nonapplicability of the used analytic techniques. We therefore compute the isocurvature spectrum numerically for an explicit supersymmetric axion model. We find a bump that enhances the isocurvature signal for this class of scenarios. A fitting function of three parameters is constructed that fits the spectrum well for the particular axion model we study. This fitting function should be useful for blue isocurvature signal hunting in data and making experimental sensitivity forecasts.