To investigate how inflation model selection is affected by the Pantheon sample of the type Ia supernovae data and the latest local measurement of Hubble constant , we constrain the primordial power spectra by using the Planck 2015 CMB temperature and polarization power spectra data , the Planck 2018 lensing power spectra data , the prior of optical depth \tau = 0.054 \pm 0.007 ( 1 \sigma ) , the BICEP2/Keck Array CMB B-mode data , the baryon acoustic oscillation data , the Pantheon sample of the type Ia supernovae data , and the 1.91 % local measurement of the Hubble constant .
We find that the addition of the new type Ia supernovae data hardly changes the value of scalar spectral index n _ { s } , while adding the latest local H _ { 0 } measurement leads to a larger value of n _ { s } .
With the addition of the latest local measurement result of H _ { 0 } , we see that the natural inflation model is totally excluded at the 2 \sigma level , the Starobinsky R ^ { 2 } inflation model is marginally favored at around the 2 \sigma level , and the spontaneously broken SUSY inflation model is the most favored model .
In addition , we find that a running of the scalar spectral index and a running of the running are favored at the 1 \sigma level when both of them are considered simultaneously .