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# Testing the running of non-Gaussianity through the CMB <span class="aps-inline-formula"><math display="inline"><mi>μ</mi>[/itex]</span>-distortion and the halo bias

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Published in . 2013, vol. 87, no. 6
Abstract The primordial non-Gaussianity parameters fNL and τNL may be scale dependent. We investigate the capability of future measurements of the CMB μ distortion, which is very sensitive to small scales, and of the large-scale halo bias to test the running of local non-Gaussianity. We show that, for an experiment such as PIXIE, a measurement of the μ-temperature correlation can pin down the spectral indices nfNL and nτNL to values of the order of 0.3 if fNL=20 and τNL=5000. A similar value can be achieved with an all-sky survey extending to redshift z∼1. In the particular case in which the two spectral indices are equal, as predicted in models where the cosmological perturbations are generated by a single field other than the inflaton, the 1σ error on the scale dependence of the nonlinearity parameters goes down to 0.2.
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BIAGETTI, Matteo et al. Testing the running of non-Gaussianity through the CMB $μ$-distortion and the halo bias. In: Physical Review. D, 2013, vol. 87, n° 6. doi: 10.1103/PhysRevD.87.063521 https://archive-ouverte.unige.ch/unige:35143

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