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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Published in | The journal of high energy physics Vol. 2021; no. 3; pp. 1 - 24 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.03.2021
Springer Nature B.V SpringerOpen |
Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 1029-8479 1029-8479 |
DOI: | 10.1007/JHEP03(2021)287 |