13,387 research outputs found
Reexploration of interacting holographic dark energy model: Cases of interaction term excluding the Hubble parameter
In this paper, we make a deep analysis for the five typical interacting
holographic dark energy models with the interaction terms , , , , and , respectively.
We obtain observational constraints on these models by using the type Ia
supernova data (the Joint Light-curve Analysis sample), the cosmic microwave
background data (Planck 2015 distance priors), the baryon acoustic oscillations
data, and the direct measurement of the Hubble constant. We find that the
values of for all the five models are almost equal
(around~699), indicating that the current observational data equally favor
these IHDE models. In addition, a comparison with the cases of interaction term
involving the Hubble parameter is also made.Comment: 14 pages, 6 figures. arXiv admin note: text overlap with
arXiv:1710.0306
The geometric mean is a Bernstein function
In the paper, the authors establish, by using Cauchy integral formula in the
theory of complex functions, an integral representation for the geometric mean
of positive numbers. From this integral representation, the geometric mean
is proved to be a Bernstein function and a new proof of the well known AG
inequality is provided.Comment: 10 page
Indirect unitarity violation entangled with matter effects in reactor antineutrino oscillations
If finite but tiny masses of the three active neutrinos are generated via the
canonical seesaw mechanism with three heavy sterile neutrinos, the 3\times 3
Pontecorvo-Maki-Nakagawa-Sakata neutrino mixing matrix V will not be exactly
unitary. This kind of indirect unitarity violation can be probed in a precision
reactor antineutrino oscillation experiment, but it may be entangled with
terrestrial matter effects as both of them are very small. We calculate the
probability of \overline{\nu}_e \to \overline{\nu}_e oscillations in a good
analytical approximation, and find that, besides the zero-distance effect, the
effect of unitarity violation is always smaller than matter effects, and their
entanglement does not appear until the next-to-leading-order oscillating terms
are taken into account. Given a 20-kiloton JUNO-like liquid scintillator
detector, we reaffirm that terrestrial matter effects should not be neglected
but indirect unitarity violation makes no difference, and demonstrate that the
experimental sensitivities to the neutrino mass ordering and a precision
measurement of \theta_{12} and \Delta_{21} \equiv m^2_2 - m^2_1 are robust.Comment: 21 pages, 6 figures, version to be published in PLB, more discussions
adde
- β¦