The dichotomy between red and blue quasars is still an open question. It is debated whether
red quasars are simply blue quasars that are observed at certain inclination angles or
if they provide insight into a transitional phase in the evolution of quasars. We investigate the relation between quasar colors and radio-detected fraction because radio observations of quasars provide a powerful tool in
distinguishing between quasar models. We present the eHAQ+GAIA23 sample, which
contains quasars from the High A(V) Quasar (HAQ) Survey, the Extended High A(V)
Quasar (eHAQ) Survey, and the Gaia quasar survey. All quasars in this sample have been found using a
near-infrared color selection of target candidates that have otherwise been
missed by the Sloan Digital Sky Survey (SDSS). We implemented a redshift-dependent color cut in $g^*-i^*$ to select red quasars in the sample and divided
them into redshift bins, while using a nearest-neighbors algorithm to control
for luminosity and redshift differences between our red quasar sample and a
selected blue sample from the SDSS. Within each bin, we cross-matched the quasars
to the Faint Images of the Radio Sky at Twenty centimeters (FIRST) survey and
determined the radio-detection fraction. For redshifts 0.8 $<$ z leq 1.5,
the red and blue quasars have a radio-detection fraction of
0.153$^ $ and 0.132$^ $, respectively. The red
and blue quasars with redshifts 1.5 $<$ z leq 2.4 have radio-detection
fractions of 0.059$^ $ and 0.060$^ $,
respectively, and the red and blue quasars with redshifts z $>$ 2.4 have
radio-detection fractions of 0.029$^ $ and
0.058$^ $, respectively. For the WISE color-selected red
quasars, we find a radio-detection fraction of 0.160$^ $ for
redshifts 0.8 $<$ z leq 1.5, 0.063$^ $ for redshifts 1.5 $<$
z leq 2.4, and 0.051$^ $ for redshifts z $>$ 2.4. In other
words, we find similar radio-detection fractions for red and blue quasars
within $<1 uncertainty, independent of redshift. This disagrees with what has been found in the literature for red quasars in SDSS. It should be noted that the fraction of broad absorption line (BAL) quasars in red SDSS quasars is about five times lower. BAL quasars have been observed to be more frequently radio quiet than other quasars, therefore the difference in BAL fractions could explain the difference in radio-detection fraction. The dusty torus of a
quasar is transparent to radio emission. When we do not observe a difference
between red and blue quasars, it leads us to argue that orientation is the main
cause of quasar redness. Moreover, the observed higher proportion of BAL
quasars in our dataset relative to the SDSS sample, along with the higher
rate of radio detections, indicates an association of the redness of
quasars and the inherent BAL fraction within the overall quasar population.
This correlation suggests that the redness of quasars is intertwined with the
inherent occurrence of BAL quasars within the entire population of quasars. In
other words, the question why some quasars appear red or exhibit BAL
characteristics might not be isolated; it could be directly related to the
overall prevalence of BAL quasars in the quasar population. This finding
highlights the need to explore the underlying factors contributing to both the
redness and the frequency of BAL quasars, as they appear to be interconnected
phenomena.