Methods for high-precision determinations of radiative-leptonic decay form factors using lattice QCD

Abstract

We present a study of lattice-QCD methods to determine the relevant hadronic form factors for radiative leptonic decays of pseudoscalar mesons. We provide numerical results for $D_s^{+}\to {\ell }^{+}\nu \gamma$. Our calculation is performed using a domain-wall action for all quark flavors and on a single RBC/UKQCD lattice gauge-field ensemble. The first part of the study is how to best control two sources of systematic error inherent in the calculation, specifically the unwanted excited states created by the meson interpolating field, and unwanted exponentials in the sum over intermediate states. Using a 3d sequential propagator allows for better control over unwanted exponentials from intermediate states, while using a 4d sequential propagator allows for better control over excited states. We perform individual analyses of the 3d and 4d methods as well as a combined analysis using both methods, and find that the 3d sequential propagator offers good control over both sources of systematic uncertainties for the smallest number of propagator solves. From there, we further improve the use of a 3d sequential propagator by employing an infinite-volume approximation method, which allows us to calculate the relevant form factors over the entire allowed range of photon energies. We then study improvements gained by performing the calculation using a different three-point function, using ratios of three-point functions, averaging over positive and negative photon momentum, and using an improved method for extracting the structure-dependent part of the axial form factor. The optimal combination of methods yields results for the $D_s^{+}\to {\ell }^{+}\nu \gamma$ structure-dependent vector and axial form factors in the entire kinematic range with statistical plus fitting uncertainties of order 5%, using 25 gauge configurations with 64 samples per configuration.

arXiv comment31 pages, 14 figures

References in corpus (66)

• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• The Belle II Physics Book
• Lattice calculation of the pion transition form factor with $N_f=2+1$ Wilson quarks
• Calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
• 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
• Covariant approximation averaging
• First lattice calculation of the QED corrections to leptonic decay rates
• Light-meson leptonic decay rates in lattice QCD+QED
• B meson distribution amplitude from B --> γl ν
• Lattice QCD calculation of $\bar{B}\to Dl\bar{\nu }$ decay form factors at zero recoil
• Measurement of the $B_s^0\to {\mu }^{+}{\mu }^{-}$ decay properties and search for the $B^0\to {\mu }^{+}{\mu }^{-}$ and $B_s^0\to {\mu }^{+}{\mu }^{-}\gamma$ decays
• Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects
• 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
• The Semileptonic Decays $B\to \pi l\nu$ and $D\to \pi l\nu$ from Lattice QCD
• Factorization, the light-cone distribution amplitude of the B-meson and the radiative decay B -> gamma l nu_l
• Estimates of the Weak Annihilation Contributions to the Decays $B\to \rho +\gamma$ and $B\to \omega +\gamma$
• Relativistic Heavy Quark Effective Action
• $\pi \to l\nu \gamma$ Form Factors at Two-loop
• Radiative Leptonic Decays of Heavy Mesons
• Radiative leptonic decay $B\to \gamma \ell {\nu }_{\ell }$ with subleading power corrections
• Rare radiative leptonic decays B_{d,s}-> l^+l^-γ
• 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
• New Precise Measurement of the Pion Weak Form Factors in the Pi+ -> e+ nu gamma Decay
• 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
• Gauge invariance and form factors for the decay B --> gamma l^+l^-
• Prediction of the $D_s^{\ast }$ width from a calculation of its radiative decay in full lattice QCD
• Precise measurement of B(K\to eν(γ))/B(K\to μν(γ)) and study of K\to eνγ
• QED self energies from lattice QCD without power-law finite-volume errors
• 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
• Measurement of Structure Dependent K^+ -> mu^+ nu gamma
• Radiative Leptonic Decays of $B_c$ Meson
• Search for the rare decay of $B^{+}\to {\ell }^{+}{\nu }_{\ell }\gamma$ with improved hadronic tagging
• 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
• Subleading power corrections to $B\to \gamma l\nu$ decay in PQCD approach
• On the Decay Mode $B^{-}\to {\mu }^{-}{\bar{\nu }}_{\mu }\gamma$
• Bs to mu mu gamma from Bs to mu mu
• Extraction of Kaon Formfactors from K^- -> mu^- nu_mu gamma Decay at ISTRA+ Setup
• Probing flavoured Axions in the Tail of $B_q\to {\mu }^{+}{\mu }^{-}$
• Search for the Radiative Leptonic Decay $D^{+}\to \gamma e^{+}{\nu }_e$
• Search for the decay $D_s^{+}\to \gamma e^{+}{\nu }_e$
• Lattice QCD calculation of $K\to \ell {\nu }_{\ell }{\ell }^{\prime +}{\ell }^{\prime -}$ decay width
• Measurement of the $K^{+}\to {\mu }^{+}{\nu }_{\mu }\gamma$ decay form factors in the OKA experiment
• Revisiting radiative leptonic $B$ decay
• Search for the Decays B0->e+e-gamma and B0->mu+mu-gamma
• Radiative leptonic decays of heavy mesons in heavy quark limit
• Radiative leptonic B decays in the instantaneous Bethe-Salpeter approach
• Form factors and branching ratio for the B -> l nu gamma decay
• Dispersion relations for $B^{-}\to {\ell }^{-}{\bar{\nu }}_{\ell }{\ell }^{\prime -}{\ell }^{\prime +}$ form factors
• Signatures of a Flavor Changing $Z^{\prime }$ Boson in $B_q\to \gamma Z^{\prime }$

Cited by in corpus (5)

• FLAG Review 2024
• Constraining inverse moment of $B$-meson distribution amplitude using Lattice QCD data
• Kaon radiative leptonic decay rates from lattice QCD simulations at the physical point
• Efficient lattice QCD computation of radiative-leptonic-decay form factors at multiple positive and negative photon virtualities
• Complete one-loop QED corrections to $D_s^{+}$ leptonic decays and impact on the CKM unitarity test