We construct a texture where the seesaw matrix is diagonalized by the tribimaximal (TBM) matrix with a phase. All angles of the Cabibbo-Kobayashi-Maskawa matrix and Pontecorvo-Maki-Nakagawa-Sakata matrix are consistent with particle data group values, and the mass relations of quarks and charged leptons extrapolated to the grand unified theory scale are satisfied, including the Gatto relation. The novel ingredient is the asymmetry of the down-quark and charged lepton Yukawa matrices. Explaining the reactor angle requires a CP phase in the TBM matrix, resulting in the Jarlskog-Greenberg invariant at jJj ¼ 0.028, albeit with an undetermined sign. While SOð10Þ restrains the right-handed neutrino Majorana matrix, the neutrino masses are left undetermined.

We extend the recently proposed SU (5) × T 13 model for the asymmetric texture to the up-type quark and Seesaw sectors. The hierarchical up-type quark masses are generated from higher-dimensional operators involving family-singlet Higgses, gauge-singlet familons, and vector-like messengers. The complex-Tribimaximal (TBM) Seesaw mixing arises from the vacuum structure of a minimal number of familons, resulting in an alignment between the Yukawa and Majorana matrices of the Seesaw formula. Introducing four right-handed neutrinos, normal ordering of the light neutrino masses is obtained, with m ν1 = 27.6 meV, m ν2 = 28.9 meV and m ν3 = 57.8 meV. Their sum almost saturates Planck's cosmological upper bound (120 meV). The right-handed neutrino masses are expressed in terms of two parameters for a particular choice of familon vacuum alignment. We predict the¨CP Jarlskog-Greenberg invariant to be |J | = 0.028, consistent with the current PDG estimate, and Majorana invariants |I 1 | = 0.106 and |I 2 | = 0.011. A sign ambiguity in the model parameters leads to two possibilities for the invariant mass parameter |m ββ |: 13.02 meV or 25.21 meV, both within an order of magnitude of the most rigorous experimental upper limit (61-165 meV). *

We propose T13 = Z13 Z3 as the underlying non-Abelian discrete family symmetry of the asymmetric texture presented in [1]. Its mod 13 arithmetic distinguishes each Yukawa matrix element of the texture. We construct a model of effective interactions that singles out the asymmetry and equates, without finetuning, the products of down-quark and charged-lepton masses at a GUT-like scale. *

The four-point correlation function of primordial scalar perturbations has parity-even and parity-odd contributions and the parity-odd signal in cosmological observations is opening a novel window to look for new physics in the inflationary epoch. We study the distinct parity-odd and even prediction from the axion inflation model, in which the inflaton couples to a vector field via a Chern-Simons interaction, and the vector field is considered to be either approximately massless (mA ≪ Hubble scale H) or very massive (mA ∼ H). The parity-odd signal arises due to one transverse mode of the vector field being predominantly produced during inflation. We adopt the in-in formalism to evaluate the correlation functions. Considering the vector field mode function to be dominated by its real part up to a constant phase, we simplify the formulas for numerical computations. The numerical studies show that the massive and massless vector fields give significant parity-even signals, while the parity-odd contribution is about one to two orders of magnitude smaller.

We numerically determine the cosmological branch of the free function in a nonlocal metric-based modification of gravity which provides a relativistic generalization of Milgrom's Modified Newtonian Dynamics. We are able to reproduce the ΛCDM expansion history over virtually all of cosmic history, including the era of radiation domination during Big Bang Nucleosynthesis, the era of matter domination during Recombination, and most of the era of vacuum energy domination. The very late period of 0 ≤ z < ∼ 0.0880, during which the model deviates from the ΛCDM expansion history, is interesting because it causes the current value of the Hubble parameter to be about 4.5% larger than it would be for the ΛCDM model. This may resolve the tension between inferences of H 0 which are based on data from large redshift and inferences based on Hubble plots.

Hawking's argument about non-unitary evolution of black holes is often questioned on the ground that it doesn't acknowledge the quantum correlations in radiation process. However, recently it has been shown that adding 'small' correction to leading order Hawking analysis, accounting for the correlations, doesn't help to restore unitarity. This paper generalizes the bound on entanglement entropy by relaxing the 'smallness' condition and configures the parameters for possible recovery of information from an evaporating black hole. The new bound effectively puts an upper limit on increase in entanglement entropy. It also facilitates to relate the change in entanglement entropy to the amount of correction to Hawking state.

No abstract

We extend the reach of the “cosmological collider” for massive gauge boson production during inflation from the CMB scales to the interferometer scales. Considering a Chern-Simons coupling between the gauge bosons and the pseudoscalar inflaton, one of the transverse gauge modes is efficiently produced and its inverse decay leaves an imprint in the primordial scalar and tensor perturbations. We study the correlation functions of these perturbations and derive the updated constraints on the parameter space from CMB observables. We then extrapolate the tensor power spectrum to smaller scales consistently taking into account the impact of the gauge field on inflationary dynamics. Our results show that the presence of massive gauge fields during inflation can be detected from characteristic gravitational wave signals encompassing the whole range of current and planned interferometers.