TY - JOUR

T1 - Doppler term in the galaxy two-point correlation function

T2 - Wide-angle, velocity, Doppler lensing and cosmic acceleration effects

AU - Raccanelli, Alvise

AU - Bertacca, Daniele

AU - Jeong, Donghui

AU - Neyrinck, Mark C.

AU - Szalay, Alexander S.

N1 - Publisher Copyright:
© 2017 Elsevier B.V.

PY - 2018/3/1

Y1 - 2018/3/1

N2 - We study the parity-odd part (that we shall call Doppler term) of the linear galaxy two-point correlation function that arises from wide-angle, velocity, Doppler lensing and cosmic acceleration effects. As it is important at low redshift and at large angular separations, the Doppler term is usually neglected in the current generation of galaxy surveys. For future wide-angle galaxy surveys, however, we show that the Doppler term must be included. The effect of these terms is dominated by the magnification due to relativistic aberration effects and the slope of the galaxy redshift distribution and it generally mimics the effect of the local type primordial non-Gaussianity with the effective nonlinearity parameter fNL eff of a few; we show that this would affect forecasts on measurements of fNL at low-redshift. Our results show that a survey at low redshift with large number density over a wide area of the sky could detect the Doppler term with a signal-to-noise ratio of ∼1−20, depending on survey specifications.

AB - We study the parity-odd part (that we shall call Doppler term) of the linear galaxy two-point correlation function that arises from wide-angle, velocity, Doppler lensing and cosmic acceleration effects. As it is important at low redshift and at large angular separations, the Doppler term is usually neglected in the current generation of galaxy surveys. For future wide-angle galaxy surveys, however, we show that the Doppler term must be included. The effect of these terms is dominated by the magnification due to relativistic aberration effects and the slope of the galaxy redshift distribution and it generally mimics the effect of the local type primordial non-Gaussianity with the effective nonlinearity parameter fNL eff of a few; we show that this would affect forecasts on measurements of fNL at low-redshift. Our results show that a survey at low redshift with large number density over a wide area of the sky could detect the Doppler term with a signal-to-noise ratio of ∼1−20, depending on survey specifications.

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U2 - 10.1016/j.dark.2017.12.003

DO - 10.1016/j.dark.2017.12.003

M3 - Article

AN - SCOPUS:85044678946

SN - 2212-6864

VL - 19

SP - 109

EP - 123

JO - Physics of the Dark Universe

JF - Physics of the Dark Universe

ER -