All-loop soft theorem for pions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10494478" target="_blank" >RIV/00216208:11320/24:10494478 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=ZrkS-RRx5G" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=ZrkS-RRx5G</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.110.045009" target="_blank" >10.1103/PhysRevD.110.045009</a>
Alternative languages
Result language
angličtina
Original language name
All-loop soft theorem for pions
Original language description
In this paper we discuss a generalization of the Adler zero to loop integrands in the planar limit of theSUðNÞ nonlinear sigma model (NLSM). The Adler zero for integrands is violated starting at the two-looporder and is only recovered after integration. Here we propose a soft theorem satisfied by loop integrandswith any number of loops and legs. This requires a generalization of NLSM integrands to an off shellframework with certain deformed kinematics. Defining an algebraic soft limit, we identify a simplenonvanishing soft behavior of integrands, which we call the algebraic soft theorem. We find that theproposed soft theorem is satisfied by the "surface" integrand of Arkani-Hamed and Figueiredo[arXiv:2403.04826], which is obtained from the shifted Trφ3 surfacehedron integrand. Finally, we derivean on shell version of the algebraic soft theorem that takes an interesting form in terms of self-energyfactors and lower-loop integrands in a mixed theory of pions and scalars.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10300 - Physical sciences
Result continuities
Project
<a href="/en/project/EH22_008%2F0004632" target="_blank" >EH22_008/0004632: Fundamental constituents of matter through frontier technologies</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
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
ISSN
2470-0010
e-ISSN
2470-0029
Volume of the periodical
110
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
8
Pages from-to
045009
UT code for WoS article
001290241500002
EID of the result in the Scopus database
2-s2.0-85200884658