Effective Field Theories in the Gradient Flow Formalism

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Expressing composite field operators in terms of ``flowed'' operators enormously facilitates the lattice evaluation of the corresponding matrix elements. This was already demonstrated in first studies for the energy-momentum tensor, using results derived by our group. In this project, we propose to apply this approach to phenomenologically relevant effective field theories as they are used in flavor physics, for example. We will include also operators which vanish by the continuum equations-of-motion, because they are needed in order to reduce lattice artifacts. Along with these physical results, we will develop further calculational techniques within the gradient-flow formalism, such as asymptotic expansions, and a systematic calculation of master integrals.