Power-law cosmology in Weyl-type $f(Q,T)$ gravity
  Gravity is attributed to the spacetime curvature in classical General
Relativity (GR). But, other equivalent formulation or representations of GR,
such as torsion or non-metricity have altered the perception. We consider the
Weyl-type $f(Q, T)$ gravity, where $Q$ represents the non-metricity and $T$ is
the trace of energy momentum temsor, in which the vector field $\omega_{\mu}$
determines the non-metricity $Q_{\mu \nu \alpha}$ of the spacetime. In this
work, we employ the well-motivated $f(Q, T)= \alpha Q+ \frac{\beta}{6k^{2}} T$,
where $\alpha$ and $\beta$ are the model parameters. Furthermore, we assume
that the universe is dominated by the pressure-free matter, i.e. the case of
dust ($p=0$). We obtain the solution of field equations similar to a power-law
in Hubble parameter $H(z)$. We investigate the cosmological implications of the
model by constraining the model parameter $\alpha$ and $\beta$ using the recent
57 points Hubble data and 1048 points Pantheon supernovae data. To study
various dark energy models, we use statefinder analysis to address the current
cosmic acceleration. We also observe the $Om$ diagnostic describing various
phases of the universe. Finally, it is seen that the solution which mimics the
power-law fits well with the Pantheon data better than the Hubble data.
