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Soft scalar rate of emission

+ 4 like - 1 dislike
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How does one compute the rate of emission of soft massless scalar particles with energy above a certain threshold whose interaction Lagrangian density involves only massive particles in an arbitrary process, including radiative corrections?
asked Jan 21, 2015 in Theoretical Physics by ruadath (15 points) [ no revision ]
retagged Jan 21, 2015 by Dilaton

whose interaction Lagrangian density involves only massive particles

Doesn't it mean the massless sector of the theory completely decouples? 

I think ruadath meant no self-action of massless particles, something like $\mathcal{L}_{\rm{int}}\propto\phi \cdot\psi^*\psi$ with completely known massive field $\psi$. If so, then the massless field equation has a known source and is solved exactly via the Green's function (kind of radiation of a classical current in QED).
Could ruadath give some clarifications?

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