Abstract
After two ALMA observing cycles, only a handful of CII $158\,m$
emission line searches in z>6 galaxies have reported a positive detection,
questioning the applicability of the local CII-SFR relation to high-z
systems. To investigate this issue we use the Vallini et al. 2013 (V13) model,
based on high-resolution, radiative transfer cosmological simulations to
predict the CII emission from the interstellar medium of a z~7 (halo mass
$M_h=1.17\times10^11M_ødot$) galaxy. We improve the V13 model by including
(a) a physically-motivated metallicity (Z) distribution of the gas, (b) the
contribution of Photo-Dissociation Regions (PDRs), (c) the effects of Cosmic
Microwave Background on the CII line luminosity. We study the relative
contribution of diffuse neutral gas to the total CII emission ($F
_diff/F_tot$) for different SFR and Z values. We find that the CII
emission arises predominantly from PDRs: regardless of the galaxy properties,
$F _diff/F_tot10$% since, at these early epochs, the CMB temperature
approaches the spin temperature of the CII transition in the cold neutral
medium ($T_CMBT_s^CNM20$ K). Our model predicts a high-z
CII-SFR relation consistent with observations of local dwarf galaxies
($0.02<Z/Z_ødot<0.5$). The CII deficit suggested by actual data
($L_CII<2.010^7 L_ødot$ in BDF3299 at z~7.1) if confirmed by deeper
ALMA observations, can be ascribed to negative stellar feedback disrupting
molecular clouds around star formation sites. The deviation from the local
CII-SFR would then imply a modified Kennicutt-Schmidt relation in z>6
galaxies. Alternatively/in addition, the deficit might be explained by low gas
metallicities ($Z<0.1 Z_ødot$).
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