Recent and ongoing developments of low energy muon
beamlines are heralding a new era of precision Muonium
spectroscopy. While past spectroscopic measurements of Muonium were
performed at pulsed muon facilities and were statistically limited,
the advent of continuous low energy muon beams, such as at the LEM
beamline at PSI, paired with the development of efficient
muon-muonium converters and laser advancements, will overcome these
limitations. Current experiments presently underway at the LEM
facility and in the near future at the muCool beamline, which is
under development at PSI, aim to improve the precision of both the
1S-2S transition determination and Lamb shift by several orders of
magnitude. In this Chapter we give an overview of the current status
and future prospects of these activities at PSI, highlighting how
their projected significance fits into a broader context of other
ongoing efforts worldwide.