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arXiv 2007.15655hep-phhep-ex
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打破质子:与黑暗力量的关系

Breaking up the Proton: An Affair with Dark Forces

Graham D. Kribs, David McKeen, Nirmal Raj

摘要:

质子对$e^{\pm}$的深度非弹性散射对“暗光子”交换的贡献很敏感。利用HERA数据拟合HERA的部分子分布函数,我们得到了超荷与暗光子之间动力学混合的模型无关的束缚$ε\lesssim 0.02$,暗光子质量为$\lesssim 10$ GeV。这稍微改善了从电弱精密可观测量得到的界限。对于更高的质量,极限单调减弱;对于$5$ TeV的暗光子质量,极限为$ε\lesssim 1$。利用PDF求和规则,我们证明了暗光子的影响不能(平凡地)被吸收到重新拟合的PDF中,实际上会导致非DGSTAR(Bjorken $x_{\rm B}$ -独立的)缩放违规,这可能会提供数据中的吸烟枪。拟议的$e^\pm p$对撞机运行在$\sqrt{s} = 1.3$ TeV,LHeC,预计将积累$10^3$倍的HERA的光度,提供了实质性的改善,在探测暗光子的影响:$ε$的灵敏度远低于电弱精密数据探测几乎在整个暗光子质量范围内是可能的,以及能够探测到更高的暗光子质量,高达$100$ TeV。

英文摘要:

Deep inelastic scattering of $e^{\pm}$ off protons is sensitive to contributions from "dark photon" exchange. Using HERA data fit to HERA's parton distribution functions, we obtain the model-independent bound $ε\lesssim 0.02$ on the kinetic mixing between hypercharge and the dark photon for dark photon masses $\lesssim 10$ GeV. This slightly improves on the bound obtained from electroweak precision observables. For higher masses the limit weakens monotonically; $ε\lesssim 1$ for a dark photon mass of $5$ TeV. Utilizing PDF sum rules, we demonstrate that the effects of the dark photon cannot be (trivially) absorbed into re-fit PDFs, and in fact lead to non-DGLAP (Bjorken $x_{\rm B}$-independent) scaling violations that could provide a smoking gun in data. The proposed $e^\pm p$ collider operating at $\sqrt{s} = 1.3$ TeV, LHeC, is anticipated to accumulate $10^3$ times the luminosity of HERA, providing substantial improvements in probing the effects of a dark photon: sensitivity to $ε$ well below that probed by electroweak precision data is possible throughout virtually the entire dark photon mass range, as well as being able to probe to much higher dark photon masses, up to $100$ TeV.

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