Journal
PHYSICAL REVIEW D
Volume 100, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.100.034511
Keywords
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Funding
- U.S. Department of Energy [DE-AC05-06OR23177]
- U.S. Department of Energy Early Career award [DE-SC0019229]
- U.S. Department of Energy, Office of Science, Office of Nuclear Physics [DE-SC0010300]
- U.S. Department of Energy (DOE) [DE-SC0019229] Funding Source: U.S. Department of Energy (DOE)
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In this work we develop a Lorentz-covariant version of the previously derived formalism for relating finite-volume matrix elements to 2 + J -> 2 transition amplitudes. We also give various details relevant for the implementation of this formalism in a realistic numerical lattice QCD calculation. Particular focus is given to the role of single-particle form factors in disentangling finite-volume effects from the triangle diagram that arise when J couples to one of the two hadrons. This also leads to a new finite-volume function, denoted G, the numerical evaluation of which is described in detail. As an example we discuss the determination of the pi pi + J -> pi pi amplitude in the rho channel, for which the single-pion form factor, F-pi (Q(2)), as well as the scattering phase, delta(pi pi), are required to remove all power-law (mite-volume effects. The formalism presented here holds for local currents with arbitrary Lorentz structure, and we give specific examples of insertions with up to two Lorentz indices.
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