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arXiv · 2004.03576

Non-perturbative renormalization scheme for the CP-odd three-gluon operator

Vincenzo Cirigliano·Emanuele Mereghetti·Peter Stoffer
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Abstract

We define a regularization-independent momentum-subtraction scheme for the $CP$-odd three-gluon operator at dimension six. This operator appears in effective field theories for heavy physics beyond the Standard Model, describing the indirect effect of new sources of $CP$-violation at low energies. In a hadronic context, it induces permanent electric dipole moments. The hadronic matrix elements of the three-gluon operator are non-perturbative objects that should ideally be evaluated with lattice QCD. We define a non-perturbative renormalization scheme that can be implemented on the lattice and we compute the scheme transformation to $\overline{\text{MS}}$ at one loop. Our calculation can be used as an interface to future lattice-QCD calculations of the matrix elements of the three-gluon operator, in order to obtain theoretically robust constraints on physics beyond the Standard Model from measurements of the neutron electric dipole moment.

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Vincenzo Cirigliano, Emanuele Mereghetti, Peter Stoffer. 2020-04-07. Non-perturbative renormalization scheme for the CP-odd three-gluon operator. https://doi.org/10.1007/jhep09(2020)094

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