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@ARTICLE{Giusti:1048505,
author = {Giusti, Davide and Kane, Christopher F. and Lehner,
Christoph and Meinel, Stefan and Soni, Amarjit},
title = {{E}fficient lattice {QCD} computation of
radiative-leptonic-decay form factors at multiple positive
and negative photon virtualities},
journal = {Physical review / D},
volume = {112},
number = {5},
issn = {2470-0010},
address = {Ridge, NY},
publisher = {American Physical Society},
reportid = {FZJ-2025-04690},
pages = {054507},
year = {2025},
abstract = {In previous work [D. Giusti, et al., Methods for
high-precision determinations of radiative-leptonic decay
form factors using lattice QCD, Phys. Rev. D 107, 074507
(2023)], we showed that form factors for radiative leptonic
decays of pseudoscalar mesons can be determined efficiently
and with high precision from lattice QCD using the
“three-dimensional (3D) method,” in which three-point
functions are computed for all values of the current
insertion time and the time integral is performed at the
data-analysis stage. Here, we demonstrate another benefit of
the 3D method: the form factors can be extracted for any
number of nonzero photon virtualities from the same
three-point functions at no extra cost. We present results
for the 𝐷𝑠 →ℓ𝜈𝛾* vector form factor as
a function of photon energy and photon virtuality, for both
positive and negative virtuality, for a single ensemble with
340 MeV pion mass and 0.11 fm lattice spacing. In our
analysis, we separately consider the two different time
orderings and the different quark flavors in the
electromagnetic current. We discuss in detail the behavior
of the unwanted exponentials contributing to the three-point
functions, as well as the choice of fit models and fit
ranges used to remove them for various values of the
virtuality. While positive photon virtuality is relevant for
decays to multiple charged leptons, negative photon
virtuality suppresses soft contributions and is of interest
in QCD-factorization studies of the form factors.},
cin = {JSC},
ddc = {530},
cid = {I:(DE-Juel1)JSC-20090406},
pnm = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
(SDLs) and Research Groups (POF4-511)},
pid = {G:(DE-HGF)POF4-5111},
typ = {PUB:(DE-HGF)16},
doi = {10.1103/2pzm-v26v},
url = {https://juser.fz-juelich.de/record/1048505},
}