  We present in this paper a simple and unequivocal prediction on the
deformation of the compact star, that will be measured in gravity waves, with
an EoS obtained in renormailzation-group implemented effective field theory
anchored on scale and hidden-local symmetric Lagrangian endowed with topology
change . The objective is not to offer a superior or improved EoS for compact
stars but to confront with a forthcoming astrophysical observable the given
model formulated in what is considered to be consistent with the premise of
QCD. The model so obtained is found to satisfactorily describe the observation
of a 2-solar mass neutron star with a minimum number of parameters.
Specifically the observable we are considering in this paper is the tidal
deformability parameter $\lambda$ (equivalently the Love number, $k_2$) in
gravity waves. The merit of our prediction is that the prediction can be
readily confirmed or falsified by forth-coming aLIGO and aVirgo gravity-wave
observations and provide a valuable guidance for arriving at a better
understanding of highly compressed baryonic matter.
