A fully non-perturbative charm-quark tuning using machine learning

Hudspith, R. J.; Mohler, D.

doi:10.48550/arxiv.2112.01997

Cited by 4 publications

(6 citation statements)

References 37 publications

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“…The reason for using lighter-than-physical charm quark masses is that we expect discretisation effects to become more and more significant when the charm mass increases. For a rough estimate of the typical size of discretisation effects, [31] found that the effective speed of light (as defined by the dispersion relation of a meson) for physical-mass charm quarks at worst deviates from unity by 20% in our setup.…”

Section: Calibrating the Charm Mass And Currentmentioning

confidence: 88%

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The charm-quark contribution to light-by-light scattering in the muon $$(g-2)$$ from lattice QCD

et al. 2022

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We compute the hadronic light-by-light scattering contribution to the muon $$g-2$$ g - 2 from the charm quark using lattice QCD. The calculation is performed on ensembles generated with dynamical (u, d, s) quarks at the SU(3)$$_\mathrm{f}$$ f symmetric point with degenerate pion and kaon masses of around 415 MeV. It includes the connected charm contribution, as well as the leading disconnected Wick contraction, involving the correlation between a charm and a light-quark loop. Cutoff effects turn out to be sizeable, which leads us to use lighter-than-physical charm masses, to employ a broad range of lattice spacings reaching down to 0.039 fm and to perform a combined charm-mass and continuum extrapolation. We use the $$\eta _c$$ η c meson to define the physical charm-mass point and obtain a final value of $$a_\mu ^\mathrm{HLbL,c}= (2.8\pm 0.5) \times 10^{-11}$$ a μ HLbL , c = ( 2.8 ± 0.5 ) × 10 - 11 , whose uncertainty is dominated by the systematics of the extrapolation. Our result is consistent with the estimate based on a simple charm-quark loop, whilst being free of any perturbative scheme dependence on the charm mass. The mixed charm–light disconnected contraction contributes a small negative amount to the final value.

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Section: Calibrating the Charm Mass And Currentmentioning

confidence: 88%

“…[30] by the D s yields a heavier-than-physical η c meson at our SU(3) f -symmetric point. This comes from the quark masses at the latter point being lighter than the physical strange quark, and a D s -tuning de facto absorbs this effect into the charm-quark mass [31].…”

Section: Calibrating the Charm Mass And Currentmentioning

confidence: 99%

The charm-quark contribution to light-by-light scattering in the muon $$(g-2)$$ from lattice QCD

et al. 2022

View full text Add to dashboard Cite

show abstract

“…The reason for using lighter-than-physical charm quark masses is that we expect discretisation effects to become more and more significant when the charm mass increases. For a rough estimate of the typical size of discretisation effects, [14] found that the effective speed of light (as defined by the dispersion relation of a meson) for physical-mass charm quarks at worst deviates from unity by 20% in our setup.…”

Section: A Calibrating the Charm Mass And Currentmentioning

confidence: 88%

“…[13] by the D s yields a heavier-than-physical η c meson at our SU(3) f -symmetric point. This comes from the quark masses at the latter point being lighter than the physical strange quark, and a D s -tuning de facto absorbs this effect into the charm-quark mass [14].…”

Section: A Calibrating the Charm Mass And Currentmentioning

confidence: 99%

The charm-quark contribution to light-by-light scattering in the muon $(g-2)$ from lattice QCD

Chao,

Hudspith,

Gérardin

et al. 2022

Preprint

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We compute the hadronic light-by-light scattering contribution to the muon g − 2 from the charm quark using lattice QCD. The calculation is performed on ensembles generated with dynamical (u, d, s) quarks at the SU(3) f symmetric point with degenerate pion and kaon masses of around 415 MeV. It includes the connected charm contribution, as well as the leading disconnected Wick contraction, involving the correlation between a charm and a light-quark loop. Cutoff effects turn out to be sizeable, which leads us to use lighter-than-physical charm masses, to employ a broad range of lattice spacings reaching down to 0.039 fm and to perform a combined charm-mass and continuum extrapolation. We use the η c meson to define the physical charm-mass point and obtain a final value of a HLbL,c µ = (2.8 ± 0.5) × 10 −11 , whose uncertainty is dominated by the systematics of the extrapolation. Our result is consistent with the estimate based on a simple charm-quark loop, whilst being free of any perturbative scheme dependence on the charm mass. The mixed charm-light disconnected contraction contributes a small negative amount to the final value.

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“…Analysis -Physically interpretable results are extracted from observable measurements. ML applications thus far include cross-observable regression [82,83], action parameter regression [67,84], and new methods for ill-posed inverse problems [85][86][87][88][89][90]. As discussed further in Sec.…”

Section: Introductionmentioning

confidence: 99%

Applications of Machine Learning to Lattice Quantum Field Theory

Boyda¹,

Calì²,

Foreman³

et al. 2022

Preprint

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There is great potential to apply machine learning in the area of numerical lattice quantum field theory, but full exploitation of that potential will require new strategies. In this white paper for the Snowmass community planning process, we discuss the unique requirements of machine learning for lattice quantum field theory research and outline what is needed to enable exploration and deployment of this approach in the future.

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A fully non-perturbative charm-quark tuning using machine learning

Cited by 4 publications

References 37 publications

The charm-quark contribution to light-by-light scattering in the muon $$(g-2)$$ from lattice QCD

The charm-quark contribution to light-by-light scattering in the muon $$(g-2)$$ from lattice QCD

The charm-quark contribution to light-by-light scattering in the muon $(g-2)$ from lattice QCD

Applications of Machine Learning to Lattice Quantum Field Theory

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