Type Ia supernovae (Ia) are most famously known for their standardizable property of their luminosity. With large numbers of Ia scattered across various distances, one can build a distance ruler to better make or calibrate distance measurements to other objects.
Tripp Standardization#
The de-facto standard method used for standardization is the two-parameter luminosity correction (Tripp 1998). In magnitudes:
\[
\hat M_B = M_B + \alpha \Delta_{m15} + \beta (B-V)
\]
\[
\mu = m_\text{B} - \hat M_B
\]
\(\Delta_{m15}\), the difference in magnitude at day of maximum light to 15 days after.