Scrutinizing various phenomenological interactions in the context of holographic Ricci dark energy models

In this paper, we examine two types of interacting holographic dark energy model using Pantheon supernova data, BAO BOSS DR12, CMB Planck 2015, fgas (gas mass fraction) and SZ/Xray (Sunyaev-Zeldovich effect and X-ray emission) data from galaxy clusters (GC). In particular, we considered the Holographic Ricci dark energy and Extended holographic Ricci dark energy models. During this analysis, we considered seven types of phenomenological interaction terms (three linear and four non-linear) Q(1)=3Hb (rho(D)+rho(m)), Q(2)=3Hb rho(D), Q(3)=3Hb rho(m), Q(4)=3Hb (rho(D)+rho(2)(D)), Q(5)=3Hb (rho(m)+rho(2)(m)/rho(D)+rho(m)), Q(6)=3Hb (rho(D)+rho(m)+rho(2)(D)/rho(D)+rho(m)), Q(7)=3Hb(rho(D)+rho(m)+