We propose a method to compute the Wilson coefficients of the weak effective Hamiltonian to all orders in the strong coupling constant using Lattice QCD simulations. We perform our calculations adopting an unphysically light weak boson mass of around 2 GeV. We demonstrate that systematic errors for the Wilson coefficients C1 and C2, related to the current-current four-quark operators, can be controlled and present a path towards precise determinations in subsequent works.
Bruno, M., Lehner, C., Soni, A. (2018). Towards a nonperturbative calculation of weak Hamiltonian Wilson coefficients. PHYSICAL REVIEW D, 97(7) [10.1103/PhysRevD.97.074509].
Towards a nonperturbative calculation of weak Hamiltonian Wilson coefficients
Bruno M.;
2018
Abstract
We propose a method to compute the Wilson coefficients of the weak effective Hamiltonian to all orders in the strong coupling constant using Lattice QCD simulations. We perform our calculations adopting an unphysically light weak boson mass of around 2 GeV. We demonstrate that systematic errors for the Wilson coefficients C1 and C2, related to the current-current four-quark operators, can be controlled and present a path towards precise determinations in subsequent works.
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