Non-perturbative renormalization scheme for the C P -odd three-gluon operator
- Resource Type
- article
- Authors
- Vincenzo Cirigliano; Emanuele Mereghetti; Peter Stoffer
- Source
- Journal of High Energy Physics, Vol 2020, Iss 9, Pp 1-71 (2020)
- Subject
- Non-perturbative renormalization
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
- Language
- English
- ISSN
- 1029-8479
Abstract We define a regularization-independent momentum-subtraction scheme for the C P -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 C P-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 MS ¯ $$ \overline{\mathrm{MS}} $$ 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.