Efficient lattice QCD computation of radiative-leptonic-decay form factors at multiple positive and negative photon virtualities

Abstract

In previous work 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 ``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 virtualites from the same three-point functions at no extra cost. We present results for the $D_s\to \ell \nu {\gamma }^{\ast }$ vector form factor as a function of photon energy and photon virtuality, for both positive and negative virtuality. 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.

arXiv comment21 pages, 12 figures, version accepted to Physical Review D

References in corpus (46)

• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• Domain wall QCD with physical quark masses
• Kaon Decays in the Standard Model
• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• Radiative leptonic decays of B mesons in QCD
• Factorization in leptonic radiative B -> gamma eνdecays
• Form Factors in the radiative pion decay
• Calculation of Long-Distance Effects in Exclusive Weak Radiative Decays of B-Mesons
• Factorization, the light-cone distribution amplitude of the B-meson and the radiative decay B -> gamma l nu_l
• On the extraction of spectral densities from lattice correlators
• Estimates of the Weak Annihilation Contributions to the Decays $B\to \rho +\gamma$ and $B\to \omega +\gamma$
• $\pi \to l\nu \gamma$ Form Factors at Two-loop
• Radiative Leptonic Decays of Heavy Mesons
• Radiative leptonic decay $B\to \gamma \ell {\nu }_{\ell }$ with subleading power corrections
• Soft contribution to $B\to \gamma \ell {\nu }_{\ell }$ and the $B$-meson distribution amplitude
• Subleading-power corrections to the radiative leptonic $B\to \gamma \ell \nu$ decay in QCD
• Radiative Decay $B\to l\nu \gamma$ in the Light Cone QCD Approach
• B->gamma e nu Transitions from QCD Sum Rules
• Factorization and dispersion relations for radiative leptonic $B$ decay
• B_q -> l^+ l^- gamma decays in light cone QCD
• First lattice calculation of radiative leptonic decay rates of pseudoscalar mesons
• Prediction of the $D_s^{\ast }$ width from a calculation of its radiative decay in full lattice QCD
• Study of $B_{s,d}\to l^{+}{l}^{-}\gamma$ Decays
• On the Radiative Pion Decay
• Axial-vector Form Factors for $K_{\ell 2\gamma }$ and ${\pi }_{\ell 2\gamma }$ at $O(p^6)$ in Chiral Perturbation Theory
• $B_{d,s}\to \gamma \ell \bar{\ell }$ decay with an energetic photon
• Rare FCNC radiative leptonic $B_{s,d}\to \gamma l^{+}{l}^{-}$ decays in the Standard Model
• Pure Leptonic Radiative Decays $B^{\pm },D_s\to \ell \nu \gamma$ and the Annihilation Graph
• Radiative Leptonic Decays of $B_c$ Meson
• Comparison of lattice QCD+QED predictions for radiative leptonic decays of light mesons with experimental data
• $B_s^0\to {\ell }^{+}{\ell }^{-}\gamma$ as a Test of Lepton Flavor Universality
• Study of $B_s\to {\ell }^{+}{\ell }^{-}\gamma$ decays in covariant quark model
• QCD factorization of the four-lepton decay $B^{-}\to \ell {\bar{\nu }}_{\ell }{\ell }^{(\prime )}{\bar{\ell }}^{(\prime )}$
• Subleading power corrections to $B\to \gamma l\nu$ decay in PQCD approach
• On the Decay Mode $B^{-}\to {\mu }^{-}{\bar{\nu }}_{\mu }\gamma$
• Insights on the current semi-leptonic $B$-decay discrepancies -- and how $B_s\to {\mu }^{+}{\mu }^{-}\gamma$ can help
• Methods for high-precision determinations of radiative-leptonic decay form factors using lattice QCD
• Lattice QCD calculation of $K\to \ell {\nu }_{\ell }{\ell }^{\prime +}{\ell }^{\prime -}$ decay width
• Searching new physics in rare $B$-meson decays into multiple muons
• Virtual Photon Emission in Leptonic Decays of Charged Pseudoscalar Mesons
• Revisiting radiative leptonic $B$ decay
• Radiative leptonic decays of heavy mesons in heavy quark limit
• Radiative leptonic B decays in the instantaneous Bethe-Salpeter approach
• Dispersion relations for $B^{-}\to {\ell }^{-}{\bar{\nu }}_{\ell }{\ell }^{\prime -}{\ell }^{\prime +}$ form factors
• Form factors and branching ratio for the B -> l nu gamma decay
• Kaon radiative leptonic decay rates from lattice QCD simulations at the physical point