We revise the process of muon pair production by high-energy muons in rock
using the recently published cross-section. The three-dimensional Monte Car
lo code MUSIC has been used to obtain the characteristics of the muon bundl
es initiated via this process. We have compared them with those of conventi
onal muon bundles initiated in the atmosphere and shown that large undergro
und detectors, capable of collecting hundreds of thousands of multiple muon
events, can discriminate statistically muon induced bundles from conventio
nal ones. However, we find that the enhancement of the measured muon decohe
rence function over that predicted at small distances, recently reported by
the MACRO experiment, cannot be explained by the effect of muon pair produ
ction alone, unless its cross-section is underestimated by a factor of 3. (
C) 1999 Published by Elsevier Science B.V. All rights reserved.