New Early Dark Energy is compatible with current LSS data
  Recently a full-shape analysis of large-scale structure (LSS) data was
employed to provide new constraints on a class of Early Dark Energy (EDE)
models. In this note, we derive similar constraints on New Early Dark Energy
(NEDE) using the publicly available PyBird code, which makes use of the
effective field theory of LSS. We study the NEDE base model with the fraction
of NEDE and the trigger field mass as two additional parameters allowed to vary
freely while making simplifying assumptions about the decaying fluid sector.
Including the full-shape analysis of LSS together with measurements of the
cosmic microwave background (CMB), baryonic acoustic oscillations (BAO) and
supernovae (SN) data, we report $ H_0= 71.2 \pm 1.0~\textrm{km}\,
\textrm{s}^{-1}\, \textrm{Mpc}^{-1}$ ($68 \%$ C.L.) together with a $\simeq 4
\, \sigma$ evidence for a non-vanishing fraction of NEDE. This is an
insignificant change to the value previously found without full-shape LSS data,
$ H_0= 71.4 \pm 1.0~\textrm{km}\, \textrm{s}^{-1}\, \textrm{Mpc}^{-1} $ ($68
\%$ C.L.). As a result, while the NEDE fit cannot be improved upon the
inclusion of additional LSS data, it is also not adversely affected by it,
making it compatible with current constraints from LSS data. In fact, we find
evidence that the effective field theory of LSS acts in favor of NEDE.
