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arXiv 2011.12856hep-ph
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在$D^+\toπ^+\ell^+\ell^-$中解开QCD与新物理学的纠缠

Disentangling QCD and New Physics in $D^+\toπ^+\ell^+\ell^-$

Aoife Bharucha, Diogo Boito, Cédric Méaux

摘要:

在本文中,我们考虑的衰变$D^+\toπ^+\ell^+\ell^-$,特别是解决的共振贡献,以及相对较大的贡献,从弱湮没图。对于弱湮灭图,我们包括已知的结果,从QCD因式分解在低$q^2$和高$q^2$,适应现有的计算$B$衰变的运营商产品的扩展。强子共振的贡献是通过色散关系获得的,将谱函数建模为每个通道中的Regge共振塔,如Shifman所建议的那样,在深欧几里德中施加部分子行为。使用$e^+e^-\to{\rm (hadrons)}$和$τ\to {\rm (hadrons)}+ν_τ$数据以及共振衰变$D^+\toπ^+\,R\,(R\to\ell^+\ell^-)$的分支比提取模型的参数,其中包括$R=ρ$、$ω$和$ϕ$。我们进行了彻底的误差分析,并提出我们的结果作为$q^2$的函数的标准模型微分分支比。然后集中在可观测$F_H$和$A_{\rm FB}$,我们认为这个通道的敏感性,超出标准模型的物理效应,无论是在一个模型独立的方式和leptoquark的情况下。

英文摘要:

In this paper we consider the decay $D^+\toπ^+\ell^+\ell^-$, addressing in particular the resonance contributions as well as the relatively large contributions from the weak annihilation diagrams. For the weak annihilation diagrams we include known results from QCD factorisation at low $q^2$ and at high $q^2$, adapting the existing calculation for $B$ decays in the Operator Product Expansion. The hadronic resonance contributions are obtained through a dispersion relation, modelling the spectral functions as towers of Regge-like resonances in each channel, as suggested by Shifman, imposing the partonic behaviour in the deep Euclidean. The parameters of the model are extracted using $e^+e^-\to{\rm (hadrons)}$ and $τ\to {\rm (hadrons)}+ν_τ$ data as well as the branching ratios for the resonant decays $D^+\toπ^+\,R\,(R\to\ell^+\ell^-)$, with $R=ρ$, $ω$, and $ϕ$. We perform a thorough error analysis, and present our results for the Standard Model differential branching ratio as a function of $q^2$. Focusing then on the observables $F_H$ and $A_{\rm FB}$, we consider the sensitivity of this channel to effects of physics beyond the Standard Model, both in a model independent way and for the case of leptoquarks.

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。

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