Anomalous dimensions of effective theories from partial waves

A bstract On-shell amplitude methods have proven to be extremely efficient for calculating anomalous dimensions. We further elaborate on these methods to show that, by the use of an angular momentum decomposition, the one-loop anomalous dimensions can be reduced to essentially a sum of products of p...

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Bibliographic Details
Published in:The journal of high energy physics 2021-03, Vol.2021 (3), p.1-24, Article 287
Main Authors: Baratella, Pietro, Fernandez, Clara, von Harling, Benedict, Pomarol, Alex
Format: Article
Language:English
Subjects:
Angular momentum
Classical and Quantum Gravitation
Decomposition
Effective Field Theories
Elementary Particles
Gravity
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering Amplitudes
String Theory
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Summary:A bstract On-shell amplitude methods have proven to be extremely efficient for calculating anomalous dimensions. We further elaborate on these methods to show that, by the use of an angular momentum decomposition, the one-loop anomalous dimensions can be reduced to essentially a sum of products of partial waves. We apply this to the SM EFT, and show how certain classes of anomalous dimensions have their origin in the same partial-wave coefficients. We also use our result to obtain a generic formula for the one-loop anomalous dimensions of nonlinear sigma models at any order in the energy expansion, and apply our method to gravity, where it proves to be very advantageous even in the presence of IR divergencies.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2021)287