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I will review order work with Schlotterer and Buchberger,
and more recent work with Haack and Zimmerman, on closed string
one-loop amplitudes. We use the Bern-Dixon-Kosower generating function
method to compute covariant amplitudes with external mass regulators,
as a complement to helicity amplitudes. We exploit the simplicity of
all-mass Feynman amplitudes that enjoy dual conformal symmetry.