Towards systematic near threshold calculations in perturbative QFT

For any near-threshold asymptotic regime and for any Feynman diagram (involving loop and/or phase space integrals), a systematic prescription for explicitly constructing all-logs, all-powers (all-twists) expansions in perfectly factorized form with explicit integrals for coefficients, is presented. The distribution-theoretic nature of the method of asymptotic operation employed allows treatment of totally exclusive phase space in the same manner as loop integrals.

Note:

8 PS; 04.06.97: added universal definition of the scaling exponent n_kappa + misprints corrected; 07.11.98: maintenance Report-no: F5T-97/01 Journal-ref: Phys.Lett. B412 (1997) 350-358

field theory: perturbation theory
threshold
Feynman graph: higher-order
effect: higher-twist
factorization
kinematics: phase space
asymptotic expansion
analytic properties
mathematical methods

References(24)

Figures(0)

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