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Radioactive decays from ^{42}Ar and its progeny ^{42}K are potentialbackground sources in large-scale liquid-argon-based neutrino and dark matterexperiments. In the atmosphere, ^{42}Ar is produced primarily by cosmogenicactivation on ^{40}Ar. The use of low radioactivity argon from cosmogenicallyshielded underground sources can expand the reach and sensitivity ofliquid-argon-based rare event searches. We estimate ^{42}Ar productionunderground by nuclear reactions induced by natural radioactivity andcosmic-ray muon-induced interactions. At 3,000 mwe, ^{42}Ar production rate is1.8E-3 atoms per ton of crust per year, 7 orders of magnitude smaller than the^{39}Ar production rate at a similar depth in the crust. By comparing thecalculated production rate of ^{42}Ar to that of ^{39}Ar for which theconcentration has been measured in an underground gas sample, we estimate theactivity of ^{42}Ar in gas extracted from 3,000 mwe depth to be less than 2decays per ton of argon per year.

Subsurface cosmogenic and radiogenic production of ^{42}Ar