Infrared fixed point and anomalous dimensions in a composite Higgs model

We use lattice simulations and the continuous renormalization-group method, based on the gradient flow, to study a candidate theory of composite Higgs and a partially composite top. The model is an SU(4) gauge theory with four Dirac fermions in each of the fundamental and two-index antisymmetric rep...

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Bibliographic Details
Published in:Physical review. D 2023-06, Vol.107 (11), Article 114504
Main Authors: Hasenfratz, Anna, Neil, Ethan T., Shamir, Yigal, Svetitsky, Benjamin, Witzel, Oliver
Format: Article
Language:English
Subjects:
Astronomy & Astrophysics
Physics
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
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Summary:We use lattice simulations and the continuous renormalization-group method, based on the gradient flow, to study a candidate theory of composite Higgs and a partially composite top. The model is an SU(4) gauge theory with four Dirac fermions in each of the fundamental and two-index antisymmetric representations. We find that the theory has an infrared fixed point at g2 ≃ 15.5 in the gradient flow scheme. The mass anomalous dimension of each representation is large at the fixed point. On the other hand, the anomalous dimensions of top-partner operators do not exceed 0.5 at the fixed point. This may not be large enough for a phenomenologically successful model of partial compositeness.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.107.114504