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arXiv 2010.04727hep-phastro-ph.CO
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宇宙对撞机物理中的标量化学势

The Scalar Chemical Potential in Cosmological Collider Physics

Arushi Bodas, Soubhik Kumar, Raman Sundrum

摘要:

非高斯双谱中的共同运动动量的非解析性是暴胀过程中壳层粒子产生的一个独特标志,为“直接探测”质量与暴胀哈勃尺度($H$)一样大的粒子提供了一个独特的机会。然而,当质量超过$H$时,这种非解析性的强度通常会以类似玻尔兹曼的因子呈指数下降。在本文中,我们研究了一个例外提供了一个维度-5衍生耦合的暴胀重粒子流,具体应用到两个真正的标量的情况下。算子有一个“化学势”的形式,它利用暴胀子的大动能尺度$\dotϕ_{0}^{1/2} \approx 60H$作为标量粒子产生的有效来源。暴胀子的导数耦合确保了慢滚势的辐射稳定性,这反过来又保持了暴胀相关性的(近似)标度不变性。我们表明,不遭受玻尔兹曼抑制的信号可以得到在双谱强度$f_{\mathrm{NL}} \sim \mathcal{O}(0.01-10)$的标量质量,$M \lesssim \dotϕ_{0}^{1/2}$,潜在的高达$10^{15}$ GeV的扩展范围内,在即将到来的LSS和更未来的21厘米实验的灵敏度。该机制不调用任何特定的微调参数或故障的扰动理论控制。主要贡献出现在树水平,这使得计算分析上易于处理,并消除了与早期的非零自旋化学势研究相比的循环抑制。稳定的粒子生产,使我们能够推断的有效质量的重粒子和化学势的变化,在双谱振荡作为一个功能的共同移动的动量。我们的分析为推广到非零自旋的重玻色子奠定了基础。

英文摘要:

Non-analyticity in co-moving momenta within the non-Gaussian bispectrum is a distinctive sign of on-shell particle production during inflation, presenting a unique opportunity for the "direct detection" of particles with masses as large as the inflationary Hubble scale ($H$). However, the strength of such non-analyticity ordinarily drops exponentially by a Boltzmann-like factor as masses exceed $H$. In this paper, we study an exception provided by a dimension-5 derivative coupling of the inflaton to heavy-particle currents, applying it specifically to the case of two real scalars. The operator has a "chemical potential" form, which harnesses the large kinetic energy scale of the inflaton, $\dotϕ_{0}^{1/2} \approx 60H$, to act as an efficient source of scalar particle production. Derivative couplings of inflaton ensure radiative stability of the slow-roll potential, which in turn maintains (approximate) scale-invariance of the inflationary correlations. We show that a signal not suffering Boltzmann suppression can be obtained in the bispectrum with strength $f_{\mathrm{NL}} \sim \mathcal{O}(0.01-10)$ for an extended range of scalar masses, $M \lesssim \dotϕ_{0}^{1/2}$, potentially as high as $10^{15}$ GeV, within the sensitivity of upcoming LSS and more futuristic 21-cm experiments. The mechanism does not invoke any particular fine-tuning of parameters or breakdown of perturbation-theoretic control. The leading contribution appears at tree-level, which makes the calculation analytically tractable and removes the loop-suppression as compared to earlier chemical potential studies of non-zero spins. The steady particle production allows us to infer the effective mass of the heavy particles and the chemical potential from the variation in bispectrum oscillations as a function of co-moving momenta. Our analysis sets the stage for generalization to heavy bosons with non-zero spin.

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