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arXiv 2408.09658hep-phastro-ph.CO
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无质量传播子极限下WIMP界限对速度分布的敏感性

Sensitivity of WIMP bounds on the velocity distribution in the limit of a massless mediator

Koun Choi, Injun Jeong, Sunghyun Kang, Arpan Kar, Stefano Scopel

AI总结:

本研究结合直接探测与太阳中WIMP湮灭的中微子信号,分析无质量媒介子下WIMP相互作用耦合界限对速度分布的敏感性,更新SHM界限并验证不依赖晕的方法的可靠性。

摘要:

我们结合直接探测与太阳中WIMP湮灭产生的中微子信号(将湮灭通道固定为$b\bar{b}$),讨论了传播子为无质量媒介子时,自旋无关(SI)和自旋相关(SD)的WIMP-质子、WIMP-中子相互作用耦合$α_{SI, SD}^{p,n}$的界限对WIMP速度分布的敏感性。我们更新了标准晕模型(SHM)下的界限,并采用不依赖晕的单流方法进行分析。对于无质量媒介子的情况,太阳中的SHM俘获率会发散,我们通过移除被束缚在延伸至日木距离之外轨道的WIMP的贡献来对其进行正则化。我们讨论了SHM界限对木星截断的依赖关系,结果表明,对于$α_{\rm SD}^p$以及WIMP质量$m_χ$超过1 TeV的情况,这种依赖效应可能相当显著。我们更新后的SHM界限与文献中已有的结果相比,提升了约2到3个数量级。我们的不依赖晕的分析显示,除了大$m_χ$下的$α_{\rm SD}^p$之外,界限相对于SHM结果的放宽程度与接触相互作用的情况处于同一量级,即在WIMP质量的低能区和高能区相对适中,而在$m_χ\simeq$ 20 GeV时可达数倍于$\sim 10^2$的水平。另一方面,由于太阳中的SHM俘获率对低入射WIMP速度下麦克斯韦速度分布的细节较为敏感,对于$α_{\rm SD}^p$且$m_χ\gtrsim$ 1 TeV的情况,界限放宽程度的精确测定变得并不可靠。不依赖晕的界限无需依赖用于正则化俘获率计算的木星截断。

英文摘要:

We discuss the sensitivity of the bounds on the spin-independent (SI) and spin-dependent (SD) WIMP-proton and WIMP-neutron interaction couplings $α_{SI, SD}^{p,n}$ on the WIMP velocity distribution for a massless mediator in the propagator by combining direct detection and the neutrino signal from WIMP annihilation in the Sun (fixing the annihilation channel to $b\bar{b}$). We update the bounds in the Standard Halo Model (SHM) and using the halo-independent single-stream method. In the case of a massless mediator the SHM capture rate in the Sun diverges and is regularized by removing the contribution of WIMPs locked into orbits that extend beyond the Sun-Jupiter distance. We discuss the dependence of the SHM bounds on the Jupiter cut showing that it can be sizeable for $α_{\rm SD}^p$ and a WIMP mass $m_χ$ exceeding 1 TeV. Our updated SHM bounds show an improvement between about two and three orders of magnitude compared to the previous ones in the literature. Our halo-independent analysis shows that, with the exception of $α_{\rm SD}^p$ at large $m_χ$, the relaxation of the bounds compared to the SHM is of the same order of that for contact interactions, i.e. relatively moderate in the low and high WIMP mass regimes and as large as a few $\times\sim 10^2$ for $m_χ\simeq$ 20 GeV. On the other hand, the exact determination of the relaxation of the bound becomes not reliable for $α_{\rm SD}^p$ and $m_χ\gtrsim$ 1 TeV due to the sensitivity of the SHM capture rate in the Sun to the details of the Maxwellian velocity distribution at low incoming WIMP speeds. The halo-independent bounds do not depend on the Jupiter cut needed to regularize the calculation of the capture rate.

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