Electric dipole moment from lattice QCD

The observed baryon asymmetry in the universe cannot be

reconciled with the current form of the Standard Model (SM) of particle physics.

The amount of CP-violation stemming from the Cabibbo-Kobayashi-Maskawa matrix is not sufficient

to explain the observed matter-antimatter asymmetry.

Historically, one of the first systems to be studied in the search for CP-violation

is the electric dipole moment (EDM) of the neutron.

The contribution to the neutron EDM coming from the SM is several order of magnitudes

smaller than the current experimental bound, thus providing a unique

background-free window for potential discovery of physics Beyond the Standard Model (BSM).

After a brief summary of the current status for experimental searches of a neutron EDM,

I describe the different CP-violating sources

and the challenges that present a calculation of the corresponding

hadronic matrix elements using lattice QCD.

I then proceed detailing recent results obtained, with my collaborators,

on the neutron EDM with a specific focus on the the main theoretical and numerical tool used:

the gradient flow. I conclude with near-term goals,

challenges and an optimistic view into the future.