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------=_NextPart_01C4DED2.B5FA1360 Content-Location: file:///C:/2F564653/neutrinos_files/master23.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C4DED2.B5FA1360 Content-Location: file:///C:/2F564653/neutrinos_files/pres.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C4DED2.B5FA1360 Content-Location: file:///C:/2F564653/neutrinos_files/slide0001.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Atmospheric Neutrinos
Atmosph= eric Neutrinos
Phenomenology and Detection
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Michelangelo D’Agostino
Physics C228 <= /div>
October 18, 2004
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Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Atmospheric Neutrinos
Outline
nCosmic Rays and Atmospheric n Generation
<= span class=3DBB style=3D'position:absolute;left:-4.86%;top:.39em'>nFlavor Oscillations
<= span class=3DBB style=3D'position:absolute;left:-4.86%;top:.39em'>nCeren= kov Radiation
<= span class=3DBB style=3D'position:absolute;left:-4.86%;top:.39em'>nSuper= Kamiokande
<= span class=3DBB style=3D'position:absolute;left:-4.86%;top:.39em'>nSNO&#= 13;
<= span class=3DBB style=3D'position:absolute;left:-4.86%;top:.39em'>nAMAND= A/IceCube
n
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Cosmic Rays
nEarth is constantly bombarded by a stream of charged particles
&= #8211;86% protons
&= #8211;11% alpha particles
&= #8211;1% heavier elements up to uranium
&= #8211;2% electrons
§E= xcept for the highest energy constituents, they’re galactic= in origin
------=_NextPart_01C4DED2.B5FA1360 Content-Location: file:///C:/2F564653/neutrinos_files/slide0005.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Atmospheric Neutrinos
Cosmic Rays
nThe flux follows an E-2.7
n distribution up to knee
§= ;E-3.0 after
§= ;spectrum shows an ankle
§= ;Controversy over
§highest energy cosmic = ;
§rays, above ~1020=  eV &= #13;
§= ;would have to come
§from our local cluster because
§of the so-called GZK effe= ct à= ;
nunknown acceleration
nmechanism
<= v:group id=3D"_x0000_s31772" style=3D'position:absolute;left:2304;top:2640;width= :144; height:480' coordorigin=3D"2304,2640" coordsize=3D"144,480">
<= /div>
Knee
Ankle
F. Halzen
<= /div>
Knee
Ankle
<= /div>
Knee
Ankle
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Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Atmospheric Neutrinos
Cosmic Rays
nThese primary cosmic ray particles slam into the <= /span>atmosphere and generate secondary mesons
nMost commonly produced particles are pions = p+<= /span>,p-,p0<= /span> = and kaons
nbelow 100 GeV the p= ’s decay before interacting
n p+àm+ + nmn p-àm- +`nmn<= span style=3D'font-size:75%;display:none'>
np0<= /span>à= ;2gàe+<= /span>e- à
ncascades
}hard component
} soft component
------=_NextPart_01C4DED2.B5FA1360 Content-Location: file:///C:/2F564653/neutrinos_files/slide0006.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Atmospheric Neutrinos
Cosmic Rays
nm’s from the hard component further decay to = neutrinos via
n m-à e- +`ne + nm 
n and the conjugate decay for m+<= /span>  = ;
n
§= ;n energy spectrum peaks at around .25 GeV and falls off as = E-2= .7 at h= igher energies
n
§= ;we get one nm = produced from pion decay into the m plus a ne<= /span>  and= nm from the m decay, so we’d roughly expect a 2:1 ratio of atmospheric nm to ne = generated by cosmic rays in the atmosphere
------=_NextPart_01C4DED2.B5FA1360 Content-Location: file:///C:/2F564653/neutrinos_files/slide0019.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Atmospheric Neutrinos
Cosmic Rays
ratio »= ;2
above a few GeV, up-going and down-going fluxes are symmetric; this is an important observation for oscillation = experiments
q is the zenith angle, so cos q=3D-1 = is an up-going u (through the= Earth) while cos q=3D-1 is down= -going
Ref. 2
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R0lGODlhPwAlAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEABQA6 AB8AgAAAAP8AAAJYhI+py70Bo5u0qgit3gzzz2EZSDqSEZTqk67u1b4yMM5vba94Xp58v/t9gsIN sWg5IinKpSnm1PiilSmVCb1OmloEt4vKglnj7bdrLSfOaLH6wNbGr3NtAQA7 ------=_NextPart_01C4DED2.B5FA1360 Content-Location: file:///C:/2F564653/neutrinos_files/slide0007.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Atmospheric Neutrinos
Flavor Oscillations
nin the 1980’s, underground detectors set up to look for proton decay found that the atmospheric n= flux reaching the ground did not have the expected flavor ratio
nthis suggested that the n’s might be changing their flavor while traveling through the atmosphere =
nsolar n investiga= tions found that ne’s could oscillate; it now appeared t= hat nm’s could oscillate as well
natmospheric studies were ideal because one could <= /span>vary the two important parameters, path length by = looking at different zenith angles and energy by <= /span>looking at different neutrino energies
------=_NextPart_01C4DED2.B5FA1360 Content-Location: file:///C:/2F564653/neutrinos_files/slide0008.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Atmospheric Neutrinos
Flavor Oscillations
nthe basic idea is that n’s are created as eigenstates of flavor, but that they propagate as eigenstates of mass <= /span>
nfor two state mixing, the two sets of states are connected via
n<= span style=3D'font-size:64%;display:none'>
n<= span style=3D'font-size:64%;display:none'>
n<= span style=3D'font-size:64%;display:none'>
n
nwhere q is the mixing angle
n
§= nm is some linear combination of the n1, n2 mass eigenstates; each of    
§these eigenstates develop= s in time with the usual factor of
n
n where
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Flavor Oscillations
nwe tack this factor onto each ni<= /span> and = use t=3DL/c, where L is the dista= nce traveled, and then compute the probability of observing nm 
n<= span style=3D'font-size:71%;display:none'>
n<= span style=3D'font-size:71%;display:none'>
n&= #13;
n&= #13;
nthere is a finite probability that nm will oscillate into nt 
nthe MSW effect, which describes oscillations in ma= tter and is crucial important= for solar neutrino oscillations,  only needs to be considered for oscillations involving ne, so = we don’t need to consi= der
n    it here <= /div>
n
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Cerenkov Radiation
<= span style=3D'font-size:64%'>nCerenkov Radiation= is the primary means used to detect these n= ’s
nwhen a charged particle moves through a medium at a speed greater than the speed of light in the medium, it = emits Cerenkov photons
n
= =
wavefront
particle
so
or=
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quoted-printable Content-Type: text/html; charset="us-ascii" Atmospheric Neutrinos
Cerenkov Radiation
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SuperK
n50,000 tons of
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nwith 11,000 photo- <= /div>
nmultiplier tubes
n
§= ;Cerenkov cone intersects
nwater surface, forming a ring&#= 13;
n
§= ;timing of pulses can be
nused to reconstruct direction&#= 13;
n
§= ;e- and m- give different rings; e-
nis more diffuse due to multiple=
nscattering
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