Renormalization and Factorization Scale-Invariant Predictions for the Higgs Rare Decay $H\to J/ψ+γ$ via the Principle of Maximum Conformality
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| Formato: | Preprint |
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2026
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| _version_ | 1866912945367154688 |
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| author | Ran, Qi-Sha Wu, Xing-Gang Yan, Jiang Zheng, Xu-Chang Liu, Chang-Xin |
| author_facet | Ran, Qi-Sha Wu, Xing-Gang Yan, Jiang Zheng, Xu-Chang Liu, Chang-Xin |
| contents | We investigate the \(J/ψ\) direct production mechanism in the rare exclusive Higgs decay \(H\to J/ψ+γ\) within nonrelativistic QCD (NRQCD), which provides a clean probe for extracting the charm-quark Yukawa coupling to the Higgs boson. The Principle of Maximum Conformality (PMC) is used to remove conventional renormalization-scheme and scale ambiguities in the next-to-next-to-leading-order (N\(^2\)LO) perturbative QCD series. Large logarithmic contributions arising from Yukawa coupling renormalization are resummed, providing a reliable foundation for subsequent analyses. Using the experimentally measured leptonic decay width of \(J/ψ\) and the N\(^2\)LO perturbative result, we extract the factorization-scale-dependent long-distance matrix element \(\langle J/ψ({\bm ε})|ψ^{\dagger}{\bm σ}\cdot{\bm ε}χ(μ_Λ) |0\rangle\). Combining this with the factorization-scale-dependent short-distance coefficient, we obtain a factorization-scale-invariant decay width for the channel. Compared with earlier predictions in the literature, our fixed-order result for \(Γ(H\to J/ψ+γ)\) is more robust and precise, with good convergence and no renormalization- or factorization-scale dependence. We find \(Γ(H\to J/ψ+γ) = (6.4574^{+0.3995}_{-0.3995}) \times 10^{-11}\) GeV, where the uncertainty is the quadratic sum of contributions from \(Δα_s(m_Z) = \pm 0.0009\), \(ΔΓ_{J/ψ\to e^+e^-} = \pm 0.10\ \text{GeV}\), \(Δ\overline{m}_c(\overline{m}_c) = \pm 0.0046\ \text{GeV}\), and the estimated magnitude of N\(^3\)LO contributions from Bayesian analysis. This work demonstrates for the first time how the PMC can be applied to obtain fixed-order perturbative predictions that are invariant under both renormalization and factorization scale variations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_05329 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Renormalization and Factorization Scale-Invariant Predictions for the Higgs Rare Decay $H\to J/ψ+γ$ via the Principle of Maximum Conformality Ran, Qi-Sha Wu, Xing-Gang Yan, Jiang Zheng, Xu-Chang Liu, Chang-Xin High Energy Physics - Phenomenology We investigate the \(J/ψ\) direct production mechanism in the rare exclusive Higgs decay \(H\to J/ψ+γ\) within nonrelativistic QCD (NRQCD), which provides a clean probe for extracting the charm-quark Yukawa coupling to the Higgs boson. The Principle of Maximum Conformality (PMC) is used to remove conventional renormalization-scheme and scale ambiguities in the next-to-next-to-leading-order (N\(^2\)LO) perturbative QCD series. Large logarithmic contributions arising from Yukawa coupling renormalization are resummed, providing a reliable foundation for subsequent analyses. Using the experimentally measured leptonic decay width of \(J/ψ\) and the N\(^2\)LO perturbative result, we extract the factorization-scale-dependent long-distance matrix element \(\langle J/ψ({\bm ε})|ψ^{\dagger}{\bm σ}\cdot{\bm ε}χ(μ_Λ) |0\rangle\). Combining this with the factorization-scale-dependent short-distance coefficient, we obtain a factorization-scale-invariant decay width for the channel. Compared with earlier predictions in the literature, our fixed-order result for \(Γ(H\to J/ψ+γ)\) is more robust and precise, with good convergence and no renormalization- or factorization-scale dependence. We find \(Γ(H\to J/ψ+γ) = (6.4574^{+0.3995}_{-0.3995}) \times 10^{-11}\) GeV, where the uncertainty is the quadratic sum of contributions from \(Δα_s(m_Z) = \pm 0.0009\), \(ΔΓ_{J/ψ\to e^+e^-} = \pm 0.10\ \text{GeV}\), \(Δ\overline{m}_c(\overline{m}_c) = \pm 0.0046\ \text{GeV}\), and the estimated magnitude of N\(^3\)LO contributions from Bayesian analysis. This work demonstrates for the first time how the PMC can be applied to obtain fixed-order perturbative predictions that are invariant under both renormalization and factorization scale variations. |
| title | Renormalization and Factorization Scale-Invariant Predictions for the Higgs Rare Decay $H\to J/ψ+γ$ via the Principle of Maximum Conformality |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2603.05329 |