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SUMMARY:A Designer’s Guide to Lunar Far-Side Interferometer Array: Power
  Spectrum Measurement and Cosmological Information in the Dark Ages
DTSTART;VALUE=DATE-TIME:20261108T073000Z
DTEND;VALUE=DATE-TIME:20261108T080000Z
DTSTAMP;VALUE=DATE-TIME:20261023T144256Z
UID:indico-contribution-2974@indico.itp.ac.cn
DESCRIPTION:Speakers: Yuewei Wen (National Astronomical Observatories of C
 hina\, Chinese Academy of Sciences)\nThe 21-cm signal from the cosmic Dark
  Ages is a powerful probe of cosmology and\ninflation\, but its science po
 tential depends critically on the design of the lunar\nfar-side interferom
 eter that will observe it. We derive closed-form relations\nconnecting the
  array design to the two goals this epoch offers: measuring a chosen\nsmal
 l scale\, and extracting the largest possible cosmological information fro
 m the\nsurvey as a whole. These relations provide a quantitative prescript
 ion of resources required to reach a stated detection threshold at a tunab
 le scale of interest and show that the optimal configuration for the power
  spectrum at that scale is to split the collecting area among multiple sta
 tions. For fixed resources\, splitting a single array into two or three st
 ations\ncan raise S/N at $k_\\perp = 1\\\,\\mathrm{Mpc}^{-1}$ by factors o
 f about 10 and 16\, reaching two orders of magnitude at smaller scales. Fo
 r the purpose of cosmological parameter constraints\, we derive where the 
 cosmological information accessible to a lunar array resides\, in redshift
  and in transverse wavenumber\, and find that thermal noise erodes the oft
 en-quoted $10^{12}$ modes to an effective budget of order $10^{4}$\, half 
 of which accumulates below $z \\approx 36$. As a demonstration\, we foreca
 st $\\sigma(\\alpha_s) = 0.034$ for the running of the spectral index assu
 ming a near-term array configuration\, illustrating both the prospects and
  the limitations implied by these relations.\n\nhttps://indico.itp.ac.cn/e
 vent/417/contributions/2974/
LOCATION:
URL:https://indico.itp.ac.cn/event/417/contributions/2974/
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