  We present a lattice calculation of the leading order (LO) hadronic vacuum
polarization (HVP) contribution to the muon anomalous magnetic moment for the
connected light and strange quarks, $a^{\rm W}_{{\rm con}, l/s}$ in the widely
used window $t_0=0.4~\mathrm{fm}$, $t_1=1.0~\mathrm{fm}$,
$\Delta=0.15~\mathrm{fm}$, and also of $a^{\rm S}_{{\rm con}, l/s}$ in the
short distance region. We use overlap fermions on 4 physical-point ensembles.
Two 2+1 flavor RBC/UKQCD ensembles use domain wall fermions (DWF) and Iwasaki
gauge actions at $a = 0.084$ and 0.114 fm, and two 2+1+1 flavor MILC ensembles
use the highly improved staggered quark (HISQ) and Symanzik gauge actions at $a
= 0.088$ and 0.121 fm. We have incorporated infinite volume corrections from 3
additional DWF ensembles at ${\rm L}$ = 4.8, 6.4 and 9.6 fm and physical pion
mass. For $a^{\rm W}_{{\rm con}, l}$, we find that our results on the two
smaller lattice spacings are consistent with those using the unitary setup, but
those at the two coarser lattice spacings are slightly different. Eventually,
we predict $a^{\rm W}_{{\rm con}, l}=206.7(1.5)(1.0)$ and $a^{\rm W}_{{\rm
con}, s}=26.8(0.1)(0.3)$, using linear extrapolation in $a^2$, with systematic
uncertainties estimated from the difference of the central values from the
RBC/UKQCD and MILC ensembles.
