Dispersion relation for hadronic light-by-light scattering: subleading contributions
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arXiv
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| Format: | Preprint |
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2024
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| author | Hoferichter, Martin Stoffer, Peter Zillinger, Maximilian |
| author_facet | Hoferichter, Martin Stoffer, Peter Zillinger, Maximilian |
| contents | In this work, we present an evaluation of subleading effects in the hadronic light-by-light contribution to the anomalous magnetic moment of the muon. Using a recently derived optimized basis, we first study the matching of axial-vector contributions to short-distance constraints at the level of the scalar basis functions, finding that also the tails of the pseudoscalar poles and tensor mesons play a role. We then develop a matching strategy that allows for a combined evaluation of axial-vector and short-distance constraints, supplemented by an estimate of tensor-meson contributions based on simplified assumptions for their transition form factors. Uncertainties are primarily propagated from the axial-vector transition form factors and the variation of the matching scale, but we also consider estimates of the low-energy effect of hadronic states not explicitly included. In total, we obtain $a_μ^\text{HLbL}\big|_\text{subleading}=33.2(7.2)\times 10^{-11}$, which in combination with previously evaluated contributions in the dispersive approach leads to $a_μ^\text{HLbL}\big|_\text{total}=101.9(7.9)\times 10^{-11}$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_00178 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dispersion relation for hadronic light-by-light scattering: subleading contributions Hoferichter, Martin Stoffer, Peter Zillinger, Maximilian High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Theory In this work, we present an evaluation of subleading effects in the hadronic light-by-light contribution to the anomalous magnetic moment of the muon. Using a recently derived optimized basis, we first study the matching of axial-vector contributions to short-distance constraints at the level of the scalar basis functions, finding that also the tails of the pseudoscalar poles and tensor mesons play a role. We then develop a matching strategy that allows for a combined evaluation of axial-vector and short-distance constraints, supplemented by an estimate of tensor-meson contributions based on simplified assumptions for their transition form factors. Uncertainties are primarily propagated from the axial-vector transition form factors and the variation of the matching scale, but we also consider estimates of the low-energy effect of hadronic states not explicitly included. In total, we obtain $a_μ^\text{HLbL}\big|_\text{subleading}=33.2(7.2)\times 10^{-11}$, which in combination with previously evaluated contributions in the dispersive approach leads to $a_μ^\text{HLbL}\big|_\text{total}=101.9(7.9)\times 10^{-11}$. |
| title | Dispersion relation for hadronic light-by-light scattering: subleading contributions |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2412.00178 |