https://doi.org/10.1140/epjc/s10052-020-7653-z
Regular Article - Theoretical Physics
Constraints on a special running vacuum model
1
School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, Hangzhou, 310024, China
2
International Centre for Theoretical Physics Asia-Pacific, Beijing/Hangzhou, China
3
Department of Physics, National Tsing Hua University, Hsinchu, 300, Taiwan
4
National Center for Theoretical Sciences, Hsinchu, 300, Taiwan
5
DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, UK
* e-mail: geng@phys.nthu.edu.tw
Received:
12
June
2019
Accepted:
14
January
2020
Published online:
29
January
2020
We study a special running vacuum model (RVM) with 
, where 
, 
and 
are the model parameters and H is the Hubble one. This RVM has non-analytic background solutions for the energy densities of matter and radiation, which can only be evaluated numerically. From the analysis of the CMB power spectrum and baryon acoustic oscillation along with the prior of 
to avoid having a negative dark energy density, we find that 
and 
(95
C.L.). We show that the RVM fits the cosmological data comparably to the 
. In addition, we relate the fluctuation amplitude 
to the neutrino mass sum 
.
© The Author(s), 2020
