The specific shear viscosity, $$\eta /s$$
η
/
s
, of the quark-gluon plasma formed in ultrarelativistic heavy-ion collisions at RHIC and LHC is estimated based on the progressive longitudinal broadening of transverse momentum two-particle correlators, $$G_2$$
G
2
, reported as a function of collision centrality by the STAR and ALICE experiments. Estimates are computed as a function of collision centrality using the Gavin ansatz which relates the $$G_2$$
G
2
longitudinal broadening to the specific shear viscosity. Freeze out times required for the use of the ansatz are computed using a linear fit of freeze out times reported as a function of the cubic root of the charged particle pseudorapidity density ($${\mathrm{d}}N_{\mathrm{ch}}$$
d
N
ch
/d$$\eta )^{1/3}$$
η
)
1
/
3
. Estimates of $$\eta /s$$
η
/
s
based on ALICE data exhibit little to no dependence on collision centrality at LHC energy, while estimates obtained from STAR data hint that $$\eta /s$$
η
/
s
might be a function of collision centrality at top RHIC energy.