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arXiv 2109.00329hep-phhep-ex
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在$e^-p$对撞机上测量$hτ{\barτ}$耦合的$CP$性质

Measuring $CP$ nature of $hτ{\barτ}$ coupling at $e^-p$ collider

Sukanta Dutta, Ashok Goyal, Mukesh Kumar, Abhaya Kumar Swain

备注：
12 pages, 10 figures, 2 tables, Version accepted for publication in EPJC
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摘要：

拟议中的未来$e^- p$对撞机提供足够的能量，以产生标准模型希格斯玻色子（$h$）通过$W^\pm$和$Z$ -玻色子融合在带电和中性电流模式，分别和测量其属性。我们借此机会探讨了通过$h \to τ^+ τ^-$测量$h$的$CP$性质的前景，其中$τ^-\,\left(τ^+\right)$衰变为带电的π介子$π^-\,\left(π^+\right)$和中性的π介子$π^0$与中微子（反中微子）。本文提出并研究了在$π^+π^-$质心系中两个$τ$轻子衰变平面之间的一个有趣的$CP$敏感角观测量$α_{\rm CP}$。对于能量为150 GeV的固定电子和能量为7（50）TeV的质子，在95%置信水平下，在积分光度为1 ab $^{-1}$（$-$ 80%）时，$CP$相可以近似测量为$25^\circ$（$14^\circ$）。

英文摘要：

The proposed future $e^- p$ collider provides sufficient energies to produce the Standard Model Higgs Boson ($h$) through $W^\pm$ and $Z$-Boson fusion in charged and neutral current modes, respectively and to measure its properties. We take this opportunity to investigate the prospect of measuring the $CP$ properties of $h$ through $h \to τ^+ τ^-$, where $τ^-\,\left(τ^+\right)$ decays to a charged pion $π^-\,\left(π^+\right)$ and a neutral pion $π^0$ in association with neutrino (anti-neutrino). An interesting $CP$ sensitive angular observable $α_{\rm CP}$ between the two $τ$-leptons decay plane in the $π^+π^-$ centre of mass frame is proposed and investigated in this work. For fixed electron energy of 150 GeV along with 7 (50) TeV of proton energy, the $CP$ phase can be measured approximately to $25^\circ$ ($14^\circ$) at integrated luminosity of 1~ab$^{-1}$ for $-$80\% polarised electron at 95\% confidence level.

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