Open heavy flavor measurements with the Forward Silicon Vertex Detector at PHENIX

Heavy flavor production is an important hard probe to test Quantum Chromodynamics (QCD) and measure the properties of the Quark Gluon Plasma (QGP) created in high energy heavy ion collisions. Heavy flavor production at RHIC has different kinematics and different production mechanisms compared with the LHC. The PHENIX experiment has collected large data sets of 200 GeV and 510 GeV $p$+$p$ as well as a wide variety of small and large collisions systems at 200 GeV.  These data sets allow us to study the energy dependence of the heavy flavor production and heavy quark energy loss in both cold and hot nuclear matter. In this talk, we will present latest PHENIX open heavy flavor results using the Forward Silicon Vertex Detector (FVTX) through the B to $J/\psi$ channel to understand the energy dependent bottom production in $p$+$p$ collisions and nuclear modification of bottom quarks in Cu+Au collisions. We will also present the analysis progress and the prospects for ongoing PHENIX forward rapidity open heavy flavor measurements in 200 GeV p+p and Au+Au collisions.