Three-loop chiral effective potential in the Wess-Zumino model

We calculate the three-loop contribution to the chiral effective potential in the massless Wess-Zumino model. It is shown that while the non-renormalisation theorem forbids divergent contributions to the chiral potential, in the massless case the finite corrections survive. There are only three trip...

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Main Authors: I.L. Buchbinder, R.M. Iakhibbaev, D.I. Kazakov, D.M. Tolkachev
Format: Article
Language:English
Published: Elsevier 2025-07-01
Series:Physics Letters B
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Online Access:http://www.sciencedirect.com/science/article/pii/S0370269325002850
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author I.L. Buchbinder
R.M. Iakhibbaev
D.I. Kazakov
D.M. Tolkachev
author_facet I.L. Buchbinder
R.M. Iakhibbaev
D.I. Kazakov
D.M. Tolkachev
author_sort I.L. Buchbinder
collection DOAJ
description We calculate the three-loop contribution to the chiral effective potential in the massless Wess-Zumino model. It is shown that while the non-renormalisation theorem forbids divergent contributions to the chiral potential, in the massless case the finite corrections survive. There are only three triple loop supergraphs that give rise to a superfield effective action in the pure chiral sector. Two of them are UV finite while the third requires one-loop counterterm corresponding to the chiral field renormalisation.
format Article
id doaj-art-9b52f77af8704b8493098f7190356cf3
institution DOAJ
issn 0370-2693
language English
publishDate 2025-07-01
publisher Elsevier
record_format Article
series Physics Letters B
spelling doaj-art-9b52f77af8704b8493098f7190356cf32025-08-20T02:56:03ZengElsevierPhysics Letters B0370-26932025-07-0186613952410.1016/j.physletb.2025.139524Three-loop chiral effective potential in the Wess-Zumino modelI.L. Buchbinder0R.M. Iakhibbaev1D.I. Kazakov2D.M. Tolkachev3Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 6, Joliot Curie, 141980 Dubna, Russia; Department of Theoretical Physics, Tomsk State Pedagogical University, 634041 Tomsk, Russia; National Research Tomsk State University, Lenin Av. 36, 634050 Tomsk, RussiaBogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 6, Joliot Curie, 141980 Dubna, Russia; Corresponding author.Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 6, Joliot Curie, 141980 Dubna, RussiaBogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 6, Joliot Curie, 141980 Dubna, Russia; Stepanov Institute of Physics, 68, Nezavisimosti Ave., 220072, Minsk, BelarusWe calculate the three-loop contribution to the chiral effective potential in the massless Wess-Zumino model. It is shown that while the non-renormalisation theorem forbids divergent contributions to the chiral potential, in the massless case the finite corrections survive. There are only three triple loop supergraphs that give rise to a superfield effective action in the pure chiral sector. Two of them are UV finite while the third requires one-loop counterterm corresponding to the chiral field renormalisation.http://www.sciencedirect.com/science/article/pii/S0370269325002850N=1 supersymmetric field theoryChiral superfieldsWess-Zumino modelQuantum effective action
spellingShingle I.L. Buchbinder
R.M. Iakhibbaev
D.I. Kazakov
D.M. Tolkachev
Three-loop chiral effective potential in the Wess-Zumino model
Physics Letters B
N=1 supersymmetric field theory
Chiral superfields
Wess-Zumino model
Quantum effective action
title Three-loop chiral effective potential in the Wess-Zumino model
title_full Three-loop chiral effective potential in the Wess-Zumino model
title_fullStr Three-loop chiral effective potential in the Wess-Zumino model
title_full_unstemmed Three-loop chiral effective potential in the Wess-Zumino model
title_short Three-loop chiral effective potential in the Wess-Zumino model
title_sort three loop chiral effective potential in the wess zumino model
topic N=1 supersymmetric field theory
Chiral superfields
Wess-Zumino model
Quantum effective action
url http://www.sciencedirect.com/science/article/pii/S0370269325002850
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AT dmtolkachev threeloopchiraleffectivepotentialinthewesszuminomodel