Many hot Jupiters may experience orbital decays, which are manifested as
long-term transit timing variations. We have analyzed 7068 transits from the
Transiting Exoplanet Survey Satellite (TESS) for a sample of 326 hot Jupiters.
These new mid-transit time data allow us to update ephemerides for these
systems. By combining the new TESS transit timing data with archival data, we
search for possible long-term orbital period variations in these hot Jupiters
using a linear and a quadratic ephemeris model. We identified 26 candidates
that exhibit possible long-term orbital period variations, including 18
candidates with decreasing orbital periods and 8 candidates with increasing
orbital periods. Among them, 12 candidates have failed in our leave-one-out
cross-validation (LOOCV) test and thus should be considered as marginal
candidates. In addition to tidal interaction, alternative mechanisms such as
apsidal precession, R{\o}mer effect, and Applegate effect could also contribute
to the observed period variations. The ephemerides derived in this work are
useful for scheduling follow-up observations for these hot Jupiters in the
future. The Python code used to generate the ephemerides is made available
online.Comment: Accepted for publication in ApJ