QCD parameters and SM-high precision from $e^+e^-$ to Hadrons: Updated
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arXiv
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| Natura: | Preprint |
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2024
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| _version_ | 1866917649541234688 |
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| author | Narison, Stephan |
| author_facet | Narison, Stephan |
| contents | 1. I update my previous comparison of the theoretical value of the muon anomaly with the new measurement and found $Δa_μ\equiv a_μ^{exp}-a_μ^{th} = (143\pm 42_{th}\pm 22_{exp})\times 10^{-11}$ which is about 3$σ$ discrepancy between the SM predictions and experiment. 2. I improve the estimate of QCD power corrections up to dimension D=12 and provide a new estimate of the ones up to D=20 within the SVZ expansion by combining the ratio of the Laplace sum rules (LSR) with the BNP $τ$-like decay moments for the I=1 vector current. The results in Table 1 confirm a violation of the factorization of the four-quark condensates and the value of the gluon one $ <α_s G^2>$ from some other sources. Up to D=20, I there is not any factorial nor exponential growth of the size of these power corrections. 3. I use these new values of power corrections to extract $α_s$ from the BNP lowest moment. To order $α_s^4$, I find within the SVZ expansion: $α_s(M_τ)= 0.3081(50)_{fit}(71)_{α_s^5}$ [resp. $0.3260 (47)_{fit}(62)_{α_s^5}]$ implying $α_s(M_Z)= 0.1170(6)(3)_{evol}$ [resp. $0.1192(6)(3)_{evol}$] for Fixed Order (FO) [resp. Contour Improved (CI)] PT series. They lead to the mean: $ α_s(M_τ)\vert_{SVZ}=0.3179(58)_{fit}(81)_{syst}$ and $ α_s(M_Z)\vert_{SVZ}= 0.1182(12)(3)_{evol}$ where the systematic error(syst) takes into account the discrepancy between FO and CI. Using the lowest BNP moment, we also obtain from the vector (V) component of $τ$-decay the mean: $ α_s(M_τ)\vert_{τ,V}=0.3219(52)(91)_{syst}$ giving: $α_s(M_Z)\vert_{τ,V}=0.1187(13)(3)_{evol}$. The average of the two determinations leads to: $ α_s(M_τ)=0.3198(72)$ and $α_s(M_Z)= 0.1185(9)(3)_{evol}$. 4. Some contributions beyond the SVZ expansion ($1/Q^2$, instantons and duality violation) expected to be small are discussed in Sections 10,11. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_13983 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | QCD parameters and SM-high precision from $e^+e^-$ to Hadrons: Updated Narison, Stephan High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice 1. I update my previous comparison of the theoretical value of the muon anomaly with the new measurement and found $Δa_μ\equiv a_μ^{exp}-a_μ^{th} = (143\pm 42_{th}\pm 22_{exp})\times 10^{-11}$ which is about 3$σ$ discrepancy between the SM predictions and experiment. 2. I improve the estimate of QCD power corrections up to dimension D=12 and provide a new estimate of the ones up to D=20 within the SVZ expansion by combining the ratio of the Laplace sum rules (LSR) with the BNP $τ$-like decay moments for the I=1 vector current. The results in Table 1 confirm a violation of the factorization of the four-quark condensates and the value of the gluon one $ <α_s G^2>$ from some other sources. Up to D=20, I there is not any factorial nor exponential growth of the size of these power corrections. 3. I use these new values of power corrections to extract $α_s$ from the BNP lowest moment. To order $α_s^4$, I find within the SVZ expansion: $α_s(M_τ)= 0.3081(50)_{fit}(71)_{α_s^5}$ [resp. $0.3260 (47)_{fit}(62)_{α_s^5}]$ implying $α_s(M_Z)= 0.1170(6)(3)_{evol}$ [resp. $0.1192(6)(3)_{evol}$] for Fixed Order (FO) [resp. Contour Improved (CI)] PT series. They lead to the mean: $ α_s(M_τ)\vert_{SVZ}=0.3179(58)_{fit}(81)_{syst}$ and $ α_s(M_Z)\vert_{SVZ}= 0.1182(12)(3)_{evol}$ where the systematic error(syst) takes into account the discrepancy between FO and CI. Using the lowest BNP moment, we also obtain from the vector (V) component of $τ$-decay the mean: $ α_s(M_τ)\vert_{τ,V}=0.3219(52)(91)_{syst}$ giving: $α_s(M_Z)\vert_{τ,V}=0.1187(13)(3)_{evol}$. The average of the two determinations leads to: $ α_s(M_τ)=0.3198(72)$ and $α_s(M_Z)= 0.1185(9)(3)_{evol}$. 4. Some contributions beyond the SVZ expansion ($1/Q^2$, instantons and duality violation) expected to be small are discussed in Sections 10,11. |
| title | QCD parameters and SM-high precision from $e^+e^-$ to Hadrons: Updated |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2402.13983 |