Recursion relations for one-loop Goldstone boson amplitudes
Result description
In this paper, we construct the recursion relations for one-loop planar integrands in the SU(N) nonlinear sigma model. This generalizes the soft recursions for tree-level amplitudes in a variety of quantum field theories with special soft limits. The main ingredient is the definition of the one-loop planar integrand, which is fixed by cuts in the sense of generalized unitarity and by requiring the Adler zero on all external legs. We show that this does not uniquely fix the integrand, so additional constraints on the soft behavior of the loop momentum have to be imposed. Our work is the first step in extending modern amplitudes methods for loop amplitudes to effective field theories with special soft limits.
Keywords
The result's identifiers
Result code in IS VaVaI
Result on the web
https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=ws3Wfu2y5U
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Recursion relations for one-loop Goldstone boson amplitudes
Original language description
In this paper, we construct the recursion relations for one-loop planar integrands in the SU(N) nonlinear sigma model. This generalizes the soft recursions for tree-level amplitudes in a variety of quantum field theories with special soft limits. The main ingredient is the definition of the one-loop planar integrand, which is fixed by cuts in the sense of generalized unitarity and by requiring the Adler zero on all external legs. We show that this does not uniquely fix the integrand, so additional constraints on the soft behavior of the loop momentum have to be imposed. Our work is the first step in extending modern amplitudes methods for loop amplitudes to effective field theories with special soft limits.
Czech name
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Czech description
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Classification
Type
JSC - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10300 - Physical sciences
Result continuities
Project
GA21-26574S: Effective field theories from on-shell amplitudes
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review D: Particles, Fields, Gravitation and Cosmology
ISSN
1550-7998
e-ISSN
1550-2368
Volume of the periodical
D106
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
6
Pages from-to
1-6
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85140221875
Result type
JSC - Article in a specialist periodical, which is included in the SCOPUS database
OECD FORD
Physical sciences
Year of implementation
2022