Gradient Flow of the Weinberg Operator

We present preliminary results on the susceptibilities involving the CP-violating (CPV) Weinberg three-gluon operator and the topological Θ term using the gradient flow scheme, and study their continuum and chiral extrapolations. These are used to provide an estimate of the Θ induced by the Weinberg operator in theories with the Peccei-Quinn (PQ) mechanism. Combined with the calculations of the matrix elements (MEs) of quark-bilinears between nucleon states, such calculations will enable estimates of the electric dipole moments (EDMs) and CPV pion-nucleon couplings due to the Weinberg operator, thereby providing robust constraints on beyond the standard model (BSM) physics.

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Publication Details

Published
2025-02-12
DOI
https://doi.org/10.22323/1.466.0344
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
Field-Weighted Citation Impact
0.00

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article

Gradient Flow of the Weinberg Operator

J. Yoo, Rajan Gupta, Tanmoy Bhattacharya A, Emanuele Mereghetti et al.
Advanced Mathematical Modeling in Engineering
article

Gradient Flow of the Weinberg Operator

J. Yoo, Rajan Gupta, Tanmoy Bhattacharya A, Emanuele Mereghetti, Shohini Bhattacharya, Vincenzo Cirigliano, Sungwoo Park, Boram Yoon
article en

Abstract

We present preliminary results on the susceptibilities involving the CP-violating (CPV) Weinberg three-gluon operator and the topological Θ term using the gradient flow scheme, and study their continuum and chiral extrapolations. These are used to provide an estimate of the Θ induced by the Weinberg operator in theories with the Peccei-Quinn (PQ) mechanism. Combined with the calculations of the matrix elements (MEs) of quark-bilinears between nucleon states, such calculations will enable estimates of the electric dipole moments (EDMs) and CPV pion-nucleon couplings due to the Weinberg operator, thereby providing robust constraints on beyond the standard model (BSM) physics.

U.S. Department of Energy, National Energy Research Scientific Computing Center, Office of Science, High Energy Physics, Laboratory Directed Research and Development, Lawrence Livermore National Laboratory, Los Alamos National Laboratory
Openalex Percentile: Top 97%
Advanced Mathematical Modeling in Engineering
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Gradient Flow of the Weinberg Operator — J. Yoo, Rajan Gupta, et al. · (2025) | TGRS Research Map | TGRS