Nonperturbative computations with the CP-violating Weinberg three-gluon operator
ORAL
Abstract
The CP-violating Weinberg three-gluon operator describes the chromo-electric moment of the gluon and is an important source of CP-violation in many theories of physics beyond the standard model. The electric dipole moment due to this operator has been difficult to calculate nonperturbatively because of its power-divergent mixing with lower-dimensional operators. Such power-divergence is, however, absent when at least one of the quarks is massless. Here we study this mixing as a function of the quark mass using a lattice discretization of QCD and using the gradient-flow scheme in to preserve chiral symmetry. This analysis sets the stage for obtaining the electric dipole moment of the nucleon nonperturbatively. It also allows us to obtain the induced topological term due to the Weinberg term in a Peccei-Quinn solution to the stron CP problem.
*We acknowledge the MILC collaboration and the CHROMA software suite. Simulations were carried out at NERSC supported by DOE under Contract No. DE-AC02-05CH11231, OLCF supported by DOE under Award No. DE-AC05-00OR22725, through an INCITE program project, the USQCD Collaboration resources funded by DOE HEP, and Institutional Computing at LANL This work was supported by LANL LDRD program, and by the DOE HEP and NP under Contract No. DE-AC52-06NA25396 and Grant No. DE-FG02-00ER41132.
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Publication:"Gradient Flow of the Weinberg Operator," Tanmoy Bhattacharya, Shohini Bhattacharya, Vincenzo Cirigliano, Rajan Gupta, Emanuele Mereghetti, Sungwoo Park, Jun-Sik Yoo and Boram Yoon, in preparation for LATTICE 2024 proceedings
"Contribution of the gluon chromo-EDM to nucleon electric dipole moment," Tanmoy Bhattacharya, Shohini Bhattacharya, Vincenzo Cirigliano, Rajan Gupta, Emanuele Mereghetti, Sungwoo Park, Jun-Sik Yoo and Boram Yoon, in preparation for Physical Review D
