Power Corrections and KLN Cancellations

Details Power Corrections and KLN Cancellations Power Corrections and KLN Cancellations

1996-09-16

arxiv.org/abs/hep-ph/9609368v1

Nucl.Phys.B516:317-332,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, LaTeX

Scientific paper

10.1016/S0550-3213(97)00766-9

We consider perturbative expansions in theories with an infrared cutoff $\lambda$. The infrared sensitive pieces are defined as terms nonanalytic in the infinitesimal $\lambda^2$ and powers of this cutoff characterize the strength of these infrared contributions. It is argued that the sum over the initial and final degenerate ( as $\lambda \to 0$) states which is required by the Kinoshita - Lee - Nauenberg theorem eliminates terms of order $\lambda^0$ and $\lambda^1$. However, the quadratic and higher order terms in general do not cancel. This is investigated in simple examples of KLN cancellations, of relevance to the inclusive decay rate of a heavy particle, at the one loop level.

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