arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1101.2872hep-ph
收藏

中性通道π介子形状因子|F_pi|中的ρ ^0-γ混合及其在e^+ e^-与τ谱函数比较中的作用

rho^0-gamma mixing in the neutral channel pion form factor |F_pi|^2 and its role in comparing e^+ e^- with tau spectral functions

Fred Jegerlehner, Robert Szafron

摘要:

我们研究了e^+e^-到pi^+pi^-的ρ ^0-伽马混合效应,以及它与π介子平方模的比较的相关性|F^(e)_pi| ^2,在e^+e^-湮没实验中测得,|F^(tau)_pi| ^2根据τ衰变谱,通过同位旋旋转解释了已知的同位旋破缺效应后得到的相应量。在修正了τ数据中缺失的ρ-γ混合贡献后,除了其他已知的同位旋对称性破坏修正外,强子真空极化对μ介子g-2的贡献的pi pi I=1部分在基于τ和基于e^+e^的评估之间完全兼容。因此,τ数据证实了用e^+e^-数据得到的结果。我们的评估基于所有e^+e^-数据,包括最近的BaBar和KLOE数据,得出a_mu^(had)=690.75(4.72)x 10^{-10}(基于e^+e^-),而包括tau数据,我们发现a_mu^(had)=690.96(4.65)X 10^{-10}(基于e^+e^-+tau)。这支持了理论和实验之间的~3 sigma偏差。对于τ双π分支分数,我们从e^+e^-+CVC中得到B^{CVC}_{pi pi ^0}=25.20 \pm 0.0.17 \pm 0.28,而B_{pi pi^0} =25.34 \pm 0.0.06 \pm 0.08则直接从τ光谱中得到。

英文摘要:

We study the effect of rho^0-gamma mixing in e^+e^- to pi^+pi^- and its relevance for the comparison of the square modulus of the pion from-factor |F^(e)_pi|^2, as measured in e^+e^- annihilation experiments, and |F^(tau)_pi|^2 the corresponding quantity obtained after accounting for known isospin breaking effects by an isospin rotation from the tau-decay spectra. After correcting the tau data for the missing rho-gamma mixing contribution, besides the other known isospin symmetry violating corrections, the pi pi I=1 part of the hadronic vacuum polarization contribution to the muon g-2 are fully compatible between tau based and e^+e^- based evaluations. tau data thus confirm result obtained with e^+e^- data. Our evaluation based on all e^+e^- data including more recent BaBar and KLOE data yields a_mu^(had)=690.75(4.72) x 10^{-10} (e^+e^- based), while including tau data we find a_mu^(had)=690.96(4.65) X 10^{-10} (e^+e^-+tau based). This backs the ~3 sigma deviation between theory and experiment. For the tau di-pion branching fraction we find B^{CVC}_{pi pi^0}=25.20 \pm0.0.17\pm0.28 from e^+e^-+CVC, while B_{pi pi^0}=25.34\pm0.0.06\pm0.08 is evaluated directly from the tau spectra.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑