Systematic limits of multi reactors and detectors
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- Phyllis Edwards
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1 Systemt lmts o mlt retors d detetors Osm Ysd okyo Metropolt Uversty
2 I. Oe detetor retors II. Mlt detetors retors Work ollborto wth H. Sgym, F. Seke, G. Horto-Smth III. Spetrm lyss Work ollborto wth H. Sgym
3 Assmptos throghot ths tlk: Systemt errors oly ( the sttstl lmt ( s θ sys oly : lmt o s θ 3 lmt w/o stt error Bkgrod ot osdered (o deree lbrto or #(retors> Idetl systemt errors( Kshwzk orrelted ~.6% rom detetors orrelted ~.6% rom retors orrelted ~.5% orrelted ~.3%
4 I. Oe detetor mlt retors ( detetor retor χ m 's M ( (M/ ( ( (M/ ν e M: mesred #(evets, : theoretl #(evets
5 Lmt o s θ M M M ε(e(e( EdE ε(e(e( EP(EdE s s θ ε(e(e( Es θ s Δm L 4E.8 Δm L 4E s de θ (.8 s θ, χ.7 χ 9%CL ( sys oly s θ lmt.7.8 For L.7km, Δ.5-3 ev
6 ( detetor retors 's ( M χ m ( ( (
7 Assme eql yeld rom eh retor: he ( (
8 Idepedet lttos o vrbles : Fltto s lrge >: Fltto s smll verge
9 II. Mlt detetors mlt retors ( ( ( ( ( ( ( ( ( 's V M y M y y y V y y ( M ( M χ m,,,, ( detetors retor ν e
10 Ater dgolzto o V χ ( ( y y y y 4 [ ] ( ( o orrelted error ( ( ( s domted by the orrelted error / /
11 ((detetors retors ( M χ 's m
12 / ( ( ( ( / / 3 smll / (/ / : mproves s (more o w/ more detetors /: slghtly better rom ellto o orrelted error de to mlt retors
13 (3Idel lmt o Kshwzk-Krw P3P (3 detetors retors χ m 's 3 M ( 74 7 L.3km L.3km P4P.7.64 ( sys oly s θ.8 lmt
14 (4 Atl Kshwzk-Krw ( M χ 's m
15 tl del KK KK 7 hereore lso or tl KK 3 ( sys oly s θ.8 lmt.7.64 o tl KK pl s lmost the sme s tht o the del se. It s slghtly better bese o 5 more retors.
16 Comprso o (retordetetors d KK m 3 /ev... s θ 3 9% CL ( d.o...3%.5%.6%.6% 7r 3d... tl KK t yr r d(.3,.3km t yr r d KK s slghtly better bese o oe more detetor.
17 Comprso o lotos o er detetors ll other ' s.3% smrt pl m 3 /ev... sys oly.% very lose to oe retor stpd tl KK.... s θ 3 KK pl s lmost optml. stpd pl.7%
18 III. Eergy spetrm (wth H. Sgym Exmto o the reslt Hber-Lder-Shwetz -Wter, P B665, 487( 3 By bldg Sper KmLAD, s t relly possble to reh s θ 3 ~.3?
19 ( M ( M χ j shpe j j j j j j j j j j j 's m detetors retor shpe shpe exp b,, Error o eergy lbrto gves lttle otrbto d omtted or smplty.
20 Assmptos: #(bs b ~ 4 Uorrelted b-to-b error s depedet o b: b 44 5 ~ 9 shpe shpe ( j
21 For smplty, ssme: Cosder two ses: ( Cotrbto o s ot eglgble or <. (.% <<, >> shpe b.6% 6 s s determed by..6% b/ #(b ( / / , b /( sys oly ( θ.7.9!? lmt
22 I y se, less >> s stsed, gves domt otrbto to & s θ ( sys lmt oly Relst hs to be estmted relly.
23 IV. Smmry ( Wth detetor: lmt o s θ s domted by the orrelted error, bt the orrelted error rom retors dereses wth mlt retors. (#(retors ( s θ ( Wth mltple detetors: lmt o s θ s domted by the orrelted error, d #(retors s rrelevt. (#(detetors.7.8 ( sys oly s θ ( smll orreto lmt sys oly lmt.7.8 ( /
24 ( Kshwzk pl does ot hve y dsdvtge over pls w/ or retor(s. ( sys oly s θ.8 lmt.7 s ses..64. ( θ.7.64 stt For to yr: stt /6 (.4%
25 (3 he eergy spetrm lyss: For lrger #(bs, lmt o s θ s domted by the orrelted bto-b error, d oe hs to estmte relst. ( sys oly s θ [ L] lmt.7.8
26 /7 /7 /7 /7 /3 /7 /4 ( ] ( [ V del ( ] ( [ V tl Appedx
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