Local H_0 determinations currently fall in a window
between H
0 ∼ 70 km/s/Mpc (TRGB) and H
0 ∼ 76 km/s/Mpc
(Tully-Fisher). In contrast, BAO data calibrated in an early
ΛCDM universe are largely consistent with
Planck-ΛCDM, H
0 ∼ 67.5 km/s/Mpc. Employing a generic
two parameter family of evolving equations of state (EoS) for dark
energy (DE) w
DE(z) and mock BAO data, we demonstrate
that if i) w
DE(z = 0) < -1 and ii) integrated DE density
less than ΛCDM, then H
0 increases. EoS that violate these
conditions at best lead to modest H
0 increases within 1σ.
Tellingly, Quintessence and K-essence satisfy neither
condition, whereas coupled Quintessence can only satisfy ii). Beyond
these seminal DE Effective Field Theories (EFTs), we turn to
explicit examples. Working model agnostically in an expansion in
powers of redshift z, we show that Brans-Dicke/f(R) and Kinetic
Gravity Braiding models within the Horndeski class can lead to
marginal and modest increases in H
0, respectively. We confirm
that as far as increasing H
0 is concerned, no DE EFT model can
outperform the phenomenological two parameter family of the DE
models. Evidently, the late universe may no longer be large enough
to accommodate H
0, BAO and DE described by EFT.