Oscillating modulation to B-mode polarization from varying propagating speed of primordial gravitational waves
Yong Cai, Yu-Tong Wang, and Yun-Song Piao

TL;DR
This paper explores how variations in the speed of primordial gravitational waves during inflation can cause oscillating features in the B-mode polarization spectrum, offering a new way to test theories beyond standard cosmology.
Contribution
It demonstrates that step-like changes in the gravitational wave speed induce unique oscillations in the polarization spectrum, which are difficult to replicate with other parameters.
Findings
Oscillating modulation in B-mode polarization spectrum due to $c_T$ variation.
Modulation intensity linked to $c_T$ dynamics.
Potential to constrain theories with high-precision CMB data.
Abstract
In low-energy effective string theory and modified gravity theories, the propagating speed of primordial gravitational waves may deviate from unity. We find that the step-like variation of during slow-roll inflation may result in an oscillating modulation to the B-mode polarization spectrum, which can hardly be imitated by adjusting other cosmological parameters, and the intensity of the modulation is determined by the dynamics of . Thus provided that the foreground contribution is under control, high-precision CMB polarization observations will be able to put tight constraint on the variation of , and so the corresponding theories.
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