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Expected Sensitivity of a Neutrino Telescope at Hawaii. Neutrino Telescope Project. George W.S. Hou & M.A. Huang Center for Cosmology and Particle Astrophysics Department of Physics, National Taiwan University. Contents. A new type of detector for Neutrino
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Expected Sensitivity of a Neutrino Telescope at Hawaii Neutrino Telescope Project George W.S. Hou & M.A. Huang Center for Cosmology and Particle Astrophysics Department of Physics, National Taiwan University M.A. Huang
Contents • A new type of detector for Neutrino • Neutrino conversion inside mountain • Potential site at Hawaii, Big Island • Acceptance and flux sensitivity • Sky coverage M.A. Huang
Why neutrino telescope? • JLC schedule delay • 1997 proposed to build in 2001 • 2nd ACFA statement 2001, expected construction time as early as 2005, finish time ~ 2009, well beyond CosPA schedule! • No need to continue original plan “BPC prototype”. • Dark matter detector prototype: Finished! • Great potential for neutrino astrophysics. M.A. Huang
Neutrinos from Universe CR interact with matter or photons and produce neutrino through pions decay. • CR + X e 2 e • Cosmological sources: WB and MPR limit • Galactic CR + ISM galactic • UHECR + CMB p + GZK M.A. Huang
Conventional detectors • Shield from CR and atmospheric muons. • Underground, under-sea, or under-ice. • Very large target volume = detection volume • Difficult to expand target volume, maximum energy ~ 1015 eV. M.A. Huang
UHECR detectors • UHECR detector such as Auger array could also detect neutrino induced air showers • Conversion efficiency in atmosphere is small and the energy threshold is high ~ 1018 eV. M.A. Huang
Window of opportunity UHECR n detector Conventional n detector ? M.A. Huang
Alternative approach • Use mountain as target and shield. • Use atmosphere as calorimeter, measured air shower initiated by the decay/interaction of . • Advantage • Lower cost • Larger acceptance • Disadvantage • Limited by site, same problem as any experiment. • Limited field of view M.A. Huang
Detection mechanism • High energy interact inside mountain, produce lepton via charge current interaction. + X e/ + X’ • e will shower in very short distance, • will pass through valley without interaction • could decay in the valley, produce shower and being detected. • Detector similar to -ray imaging Chrenkov telescope. M.A. Huang
Site selection • The cross-section of target mountain should be as large as possible • The valley should be as wide as few 10s km. • Shower maximum ~ 500 -700 gm/cm2, for atmosphere at 1-3 km altitude, this corresponds to 4.5km to 7.8 km. • Proper distance for to decay. • Because of optical detection, the atmosphere should be dry and less cloudy. • Night sky should be dark and free from artificial lights. • It is preferred if the galactic center is visible. M.A. Huang
Hawaii big island • Astronomer’s dream site • Good weather • Less artificial light • Mt. Hualalai provide a good view of Mt. Loa and situated in the dryer west side of island. • Mt. Loa provide long base line, ~ 90 km wide and 4 km high. Mauna Loa M.A. Huang
Field of view of telescope • Azimuth angle: from south to east. • Zenith angle: from 86.9º to 91.5º • min=86.9º: from detector to top of Mauna Loa, < min sky is visible. • max=91.5º: line of sight tangent to Earth, > max skimming through Earth first. M.A. Huang
From to detectable signal Efficiency of convert to in mountain, then decay and being detected. = P1× ( 0LP2(x) P3(L-x) dx/ ) × Pd P1: survive in atmosphere, P1 = exp{-Xatm/ } P2: survive in rock, P2 = exp{-Xrock/ } dx/ : convert to P3: survive the rest of rock, P3 = exp{-(L-Xrock)/ } Pd: detection probability M.A. Huang
P1: Survivor probability in atmosphere P1 = exp{-Xatm/ } • Xatm : atmospheric depth • Linsley’s atmosphere model from Aires • Consider the curvature and ellipsoid shape of the Earth. • Zenith angle changes with position • 1/ = NA ×N) • Interaction probability = 1- P1 M.A. Huang
interaction cross-section • 1/ = NA × ×N) • : neutrino current cross-section, + N + X • : rock density = 2.65 g/cm3 • = × c × T (E /1015 eV) ×48.92 m • E = (1-y)E where y is fraction of energy carry out by interacting nucleon, y=¼, So E = ¾ E M.A. Huang
P : Conversion efficiency in mountain • When energy loss is ignored, P can be calculated analytically. » P / P E1.4 M.A. Huang
Optimal thickness • Most of the effective interaction occur several decay length inside mountain. M.A. Huang
Energy loss of tau Example of of ¾1018 eV in rock. High energy tau loss energy quickly, tau surviving probability decrease much quicker. M.A. Huang
Effect of energy loss Blue : No dE/dX Red: dE/dX • Reduce range of tau, increase acceptance • Increase fluctuation of tau energy, energy resolution become worse. M.A. Huang
Pd: Detection probability • = 0.83 : Branching ratio of decay to detectable channels • ( ) ~ 0.17, undetectable • Decay probability of in distance d, from mountain to detector. M.A. Huang
Acceptance and Event Rate R (E) = A E) (E) • R: event rate [s–1 ] • A: acceptance = area solid angle [cm2 sr ] • E) : cosmic neutrino flux [cm –2 s –1 sr –1 ] • (E) :neutrino conversion efficiency M.A. Huang
Effective solid angle • Effective solid angle is Cerenkov light cone • Because lateral distribution, air shower light cone is extended to c ~ 5 º M.A. Huang
Effective area • Effective area: area where tau decay and initiate shower. • On average, tau decay at one decay length () pass mountain. • : solid angle of each pixel • D: distance from detector to mountain surface M.A. Huang
Acceptance • Acceptance : Include Mauna Loa and Mauna Kea 1.72 - 0.3 km2 sr (1014 to 1018 eV) • Consider: • ( shower) conversion efficiency • Energy loss of M.A. Huang
Sensitivity • Assuming sensitivity is the flux which produce 0.3 events/year per half decade of energy. • Chance to explore MPR limits and set similar upper limit as AMANDA-B10 at higher energy. • Nearby point source could be detected. M.A. Huang
Run time • Optical detector operate in moonless and cloudless night. • The moonless nights from 12/2003 to 12/2007 are shown, ~5200 hours, ~20%. • In realistic case, the run time should be deducted by some fraction when weather is cloudy or foggy. • Normally, use 10% as duty time. Source code come from HiRes group M.A. Huang
Sky coverage : • Consider: • FOV of Hualalai site (looking at Mauna Kea and Mauna Loa) • Run time 12/2003 to 12/2007; 20% duty time Galactic center is visible! M.A. Huang
Conclusion - 1 • The optimal range for detecting by conversion in mountain/Earth is 1015 to 1018 eV, • Conversion efficiencies are high and energy resolutions are reasonable. • Gap between conventional detectors and UHECR detectors. • This uniqueness make this project attractive! • Great chance to initiate the first experiment of this technique. M.A. Huang
Conclusion - 2 • Hualalai on the Big Island of Hawaii is a great site. • Good weather • Large acceptance ~ 1 km2 sr • Reach similar sensitivity as AMANDA-B10. • Galactic center is visible • Potential increase of acceptance • Add Earth skimming events below horizon (>91.5º) • Add fluorescent mode • Add sea-skimming events • Looking at the west of Hualalai • Could be more noisy due to reflection from waves. M.A. Huang
Technical challenges • Acceptance is limited by the site! • A compact detector would need low-noisy and high gain electronics. • Short signal pulse (~ ns), extremely low event rate (~1/year) • Potentially many background signals • Need multiple coincidence trigger M.A. Huang