Gradient flow of the Weinberg operator Article Swipe

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

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2502.00460 · OA: W4407123648

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.