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Updated: Jun 23, 2026

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Chiral logarithms in the massless limit tamed
Nikolai Kivel1, Maxim V Polyakov, Alexei Vladimirov
1Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg 188350, Russia.
Abstract:
We derive nonlinear recursion relations for the leading chiral logarithms (LLs) in massless theories. These relations not only provide a very efficient method of computation of LLs (e.g., the 33-loop contribution is calculated in a dozen of seconds on a PC) but also equip us with a powerful tool for the summation of the LLs. Our method is not limited to chiral perturbation theory only; it is pertinent to any nonrenormalizable effective field theory such as, for instance, the theory of critical phenomena, low-energy quantum gravity, etc.
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