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Title: Towards a nonperturbative calculation of weak Hamiltonian Wilson coefficients

Here, 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 C 1 and C 2, related to the current-current four-quark operators, can be controlled and present a path towards precise determinations in subsequent works.
Authors:
 [1] ;  [1] ;  [1]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
Report Number(s):
BNL-205731-2018-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:
SC0012704
Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 97; Journal Issue: 7; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Contributing Orgs:
RBC and UKQCD Collaborations
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; standard model; lattice; QCD; GeV; decay; Wilson; NNLO; EFT; coupling; Hamiltonian; axial; wilson; boson; quark
OSTI Identifier:
1434187
Alternate Identifier(s):
OSTI ID: 1440345

Bruno, Mattia, Lehner, Christoph, and Soni, Amarjit. Towards a nonperturbative calculation of weak Hamiltonian Wilson coefficients. United States: N. p., Web. doi:10.1103/PhysRevD.97.074509.
Bruno, Mattia, Lehner, Christoph, & Soni, Amarjit. Towards a nonperturbative calculation of weak Hamiltonian Wilson coefficients. United States. doi:10.1103/PhysRevD.97.074509.
Bruno, Mattia, Lehner, Christoph, and Soni, Amarjit. 2018. "Towards a nonperturbative calculation of weak Hamiltonian Wilson coefficients". United States. doi:10.1103/PhysRevD.97.074509.
@article{osti_1434187,
title = {Towards a nonperturbative calculation of weak Hamiltonian Wilson coefficients},
author = {Bruno, Mattia and Lehner, Christoph and Soni, Amarjit},
abstractNote = {Here, 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.},
doi = {10.1103/PhysRevD.97.074509},
journal = {Physical Review D},
number = 7,
volume = 97,
place = {United States},
year = {2018},
month = {4}
}