Near-infrared, JHKL, photometry is presented for 193 Mira and semi-regular
variables that were observed by Hipparcos; periods, bolometric magnitudes a
nd amplitudes are derived for 92 of them. Because of the way in which the H
ipparcos targets were selected, this group of stars provides a useful data
base of Miras with low mass-loss rates ((M) over dot less than or similar t
o 10(-7) M. yr(-1)). Various period-colour relationships are discussed in d
etail. The colour, particularly K - L, at a given period is found to depend
on the pulsation amplitude of the star. A comparison with models suggests
that this is a consequence of atmospheric extension, in the sense that larg
e amplitude pulsators have very extended atmospheres and redder K - L and H
- K but bluer J - H than their lower amplitude counterparts. The stars wit
h very extended atmospheres also have higher values of K - [12] and hence h
igher mass-loss rates. This finding provides further evidence for the causa
l connection between pulsation and mass loss. with models suggest Two seque
nces are identified in the Hp - K versus log P diagram (where Hp is the Hip
parcos broad-band magnitude) at short periods (log P < 2.35). At a given pe
riod these two groups have, on average, the same pulsation amplitude, but d
ifferent JHKL colours and spectral types. The short-period stars in the blu
er sequence have similar near-infrared colours to the Miras found in globul
ar clusters.
Long-term trends in the infrared light curves are discussed for stars that
have sufficient data.