2016
DOI: 10.1103/physrevd.94.103520
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Cosmological constraints fromμEcross correlations

Abstract: Abstract. We derive general expressions of the C µX l , the cross correlation function between the cosmic microwave background spectral µ distortion and the linear perturbations in the cosmic microwave background such as the temperature perturbations and the polarizations. The cross correlations are known as new tests for the extremely squeezed shape of primordial non-Gaussianity, which is inaccessible through the direct observations of the temperature 3-point functions. Our formulae are applicable to the arbi… Show more

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Cited by 24 publications
(27 citation statements)
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“…Indeed, with local non-Gaussianity we expect an angular cross-correlation between temperature anisotropies and fractional µ anisotropies given by −12f NL C T T [3,4]. 1 Much recent work has been devoted to better understand and model this mechanism as well as forecasting and measuring the constraining power of C µT for primordial non-Gaussianity [4,[8][9][10][11][12][13][14][15][16][17][18][19].…”
Section: Introduction and Main Resultsmentioning
confidence: 99%
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“…Indeed, with local non-Gaussianity we expect an angular cross-correlation between temperature anisotropies and fractional µ anisotropies given by −12f NL C T T [3,4]. 1 Much recent work has been devoted to better understand and model this mechanism as well as forecasting and measuring the constraining power of C µT for primordial non-Gaussianity [4,[8][9][10][11][12][13][14][15][16][17][18][19].…”
Section: Introduction and Main Resultsmentioning
confidence: 99%
“…We conclude by emphasizing that in this work we have considered only the µT angular correlator: recently, it has been pointed out that the primordial bispectrum can be constrained also by looking at µE correlations [17], and correlations of temperature and polarization with y-type spectral distortions [4,18]. More precisely, combining y and µ distortions offers a powerful way to constrain the running of non-Gaussianity at small scales [4,15,18].…”
Section: Discussionmentioning
confidence: 96%
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“…In a more futuristic scenario, the authors of [6] have considered the cross-correlation between CMB temperature and µ-spectral distortion anisotropies as a potentially very powerful probe of squeezed-type bispectra. An experiment producing cosmic-variance limited T and µ maps could in principle be able to detect f NL ∼ 10 −2 , 10 −3 (this argument has been extended in different ways [7][8][9][10][11][12][13][14][15][16][17], to take into account different primordial bispectrum models and higher-order correlation functions). While fascinating, this scenario is out of reach not only with current experimental noise levels, but also taking into account proposed, ambitious next generation surveys, such as PRISM [14].…”
Section: Introductionmentioning
confidence: 99%