Mesure du rapport d'embranchement de B → π⁰lv et extraction de l'élément |V[indice]u[indice]b| de la matrice CKM à l'expérience BABAR à l'aide de la technique des étiquettes B → D⁽*⁾lv
Texte intégral
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(392)
(393)
(394) . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . ub. . B → π 0 `ν . . . . . . . . . . . . . . . . . . . . . . . . . .. C
(395) Jbnc q iiiiiiiiiiiiiii e d c _B ;_ p
(396) f@qq \ qlBbc pbf@
(397) B iiiiiiiii / B bJqncqb
(398) _ J g
(399) qc ; qJ B → X `ν iiiiiiii u K B bJ n _b i c q ;_ B → X `ν iiiiiiii u K C \\ 5n jvjc _l5bJvv z c bx n _b xc iJ _ ; q \ qbJ \
(400) qn bJqqsc cf?cBV B → π0`ν iii B → Xu `ν K 5s _ VjJ
(401) qlBb g d \ b p_ pc _B ;_ B → π`ν K 5 C Hgscqe f@f?
(402) b q n qbf@qsc x p] He K 5 d
(403) b
(404) b=I d iiiiiii K / \\ 5n j @ \ _f?c _ x z cbJy n _b TJ @
(405) q Kq B → X `ν iiiiiiiiiiiiii u K K _
(406) qlBb J f?c b
(407) g \ _f?c _ p B → π`ν iii K KJ C Hgc b ; \ b}_qc /;g f@
(408) b iiii K KJ ebJ c: H
(409) b_; iiiiiiiii K KJ / H
(410) b_; iiiiiiiiii. DE6 G DE+ "$()*:#DL %#! MP:#()*D ./"$ M
(411) . . 1 . . . . . . . . . . . . . . . . . . . . . . . . . . .. NM. . .
(412) iM . VS U2SVU W . . /JC
(413) Jbnc q iiiiiiiiiiiiiii /J ,z|n nc qc ; b p_qc _ o q ncq_q _cb Vh63kh iiii /J / `ac _ \
(414) \ c etv;
(415) n jc n j \ c _f?cBq iiiii /J K R n cb 9<;=9;?>'iiiiiiiiiiiiii /J KC ] or iiiiiiiiiiiiiii /J K d iiiiiiiiiiiiiii . . E /. /@C /?E / / BK KK KK K2E. K . E E,/. . ,E & @C . /.
(416) . /J K / /J K K. d ' H iiiiiiiiiiiiiii 32 iiiiiiiiiiiiiii R _ =iiiiiiiiiiiiii m H iiiiiiiiiiiiiii ]5^
(417) s f@iJiJ n _ n jJ f@ iiiiiiiii ]5^
(418) s f@iCz nclBbq
(419) __~c c viiiiiii q_ VZz|8 ^ iiiiiiiiiiiiii Hgcn J
(420)
(421) bnc qyc g nc n j8
(422) c iiiiiii <xn q qf@c _ iiiiiiiiiiii
(423) 8n ;_y \ _n b_ iiiiiiiii ] qfPbw; qJ VB ; q iiiiiiiii de ncf \ c gf@
(424) B ( b ' " ./( 4$ -) iiiiiiii q qul5bq c gJc iiiiiii Hgc
(425) b nc gq@ E f?;_l5bJ @iiiiiiiii Hgc
(426) b nc gjBbf0;qc iiiiiiiiiii. /J K E /J K . /J K /J E. /J K . R b /J E C /J E /J E / /J E K /J E E /J E /J E /J E . DE6 G DE+ "$()*:#DL %#! MP:#()*D ./"$ M
(427) . . . . . =. .
(428) . B − → D 0 `− ν(X). +.
(429) M. . . . → π 0 `+ ν. . 5 .
(430) . K 8 ^
(431) q p
(432) ; ^ iiiiiiiiiiiiii. K / od K v f \ _ iiiiiiiiiiiiiii K /JC
(433) qxn cnc q -h dP n B_ π ?ncqcn ^ i K /J B → X `ν } Jn jq E ;nc_ xiiiiiiiiii K K Jq8K cqcnc_ iiiiiiiiiiiiii K K C 3 \ c cq n _ iiiiiiiiiii K K B → D ` ν(X)
(434) qcnc q iiiiiiiiiii K K / B → π ` ν cqcnc_ iiiiiiiii − +. 0 −. 0 +. ,& ,&. @C . /. . &. . &@C &/ . . KC
(435) Jbnc q iiiiiiiiiiiiiii. c/u. 8K . . . . . . . . . . . . . . . .. 0. DC 8K. . . . . . . . . . . . . . . . . . . . . . . . . .. NM + M " B
(436) Υ (4S) → BB . &. . C C C / C K C/? E C? E C C/ C.
(437) . K K K K K E K K K K K K K K & K K C/ K K CC. _ } b}J n _ iiiiiiiii deq
(438) n
(439) qf@q8; qi; q}q iiiiiiiiii bJg \ qf@ Kq iiiiiiiiiiii 3 ?ncqcn ^ n b }Jq yiiiiiiiii do; n f \ ; q
(440) iiiiiiiiii
(441) q qq q ; * 7
(442) 8nci; iiiiiii }8n B
(443) bn f \ q iiiiiiii BB j8 \ E g }8n B b iiiiiii cos2 φB K E oq _~5 nc q iiiiiiiiiiiiii K E C m _V
(444) n \ _ iiiiiiiiiiii K E m _a;qq;_ iiiiiiiiiiiii K E 5 C
(445) n jcn
(446) vj Eb_R f \ q iii K E 5 Hg q_
(447) qn ^ b ^ iiiiiii K E / ] q8 ^ _ qy_ ; iiiiiiiiiii K q2
(448) qb qZ- q8Z ?ncqcn ^ J Jb}_cycc i K J C q2
(449) qbJ q iiiiiiiiiiiiii K J
(450) qZ @ncq Jn ^ iiiiiiiiiii K J / @n qcn ^ nc
(451) n q 8Jb}_o iiiiiii K J / C
(452) n qA L;nc iiiiiiiii K J / ] qJ }8J
(453) b}J n q iiiiiiii K J / / 8; n f \ ; q
(454) E pJb}_o yc K J / K r*
(455) b8; b #j Viiiiiiii K J / F E ] ;}q__ ^ #jn cnc q Ln E cq n _ extra K J /
(456) n qA L;nc V;qb~iiiiiiii K h*
(457) w>} Jn jq E ;nc_ Iiiiiiiiiiii K C h qC} n j_ E n q n
(458)
(459) n j n iiii K h qC} n j_ E n q 8; iiiiiii K ]5^ f?; qn bnc _B qc iiiiiiiiiiii K J C ]5^
(460) f?;_n bn c
(461) q_ b x j \ j ^ qnc f@5 _ Kq K J C C B → X `ν ; B → X `ν }J n jJq E ;nc_ F D0. . . c. u. _. C CC C CC C C / CCE CCE. C$ C/ C/ C%/ / C%/ / C%/ C%/ & CKC C KK C KB C KB C KB C E C E C EDC C E C E8K C EE C EE C E C E C E C @ C C @ C C
(462) @C.
(463) qq . K J C K J C / K J C K K J C FE. ] q8<E f L;nc iiiiiiiii m q
(464) Ke q;_ iiiiiiii m _ \ ;f?
(465) ;_ iiiiiiii Rq ^
(466) bf \ qy #jncfu}_8; qn D0 i K J ]5^
(467) f?;_n bn c
(468) q_ b @Jccnc ! 7> nc iii K J 5 C r ;qJv @n _ n ^ iiiiiiiii K J 5 π0 @ncq Jn ^ iiiiiiiiii K J 5 / r* n Bqx ?ncqcn ^ iiiiiiiii K J 5 K R \ d iiiiiiiiiii K J 5F E q2 c _bJ_ iiiiiiiiii K J 5 ] j8 \ #j }8n B b cos2 φB Jq
(469) _}bJ_ K J 5 h,j
(470) j qx;
(471) f? _ iiiii K J / ejc p ^
(472) f?;_nibJn c
(473) ;q_ iiiiiiiii K J / C ; q qnc iiiiiiiiii K J / B n bqJ iiiiiiiiiii K J / / Υ (4S) → B +B − E nc qI f ~iiii +− K J K ] bf@f0; ^ }_ #j ^ f?; qnbnc
(474) q q yiiii K &
(475)
(476) n j n B iiiiiiiiiiiiiii KC/ ] bJf?f? ^ iiiiiiiiiiiiiiii. DE6 G DE+ "$()*:#DL %#! MP:#()*D ./"$ M
(477) . . . . . . . C/ C/. C/ CK CK CK CK CK CK C ?E C ?E C ?E C ?E. C C C C /C DC . . . . . . . . . . . . . . . . . . . . . . . . . .. = B → π`ν NM
(478) + M
(479)
(480) ~ |V |
(481) . . . . . . . . . . . . . . . . . . . DE6 G DE+ "$()*:#DL %#! MP:#()*D ./"$. ub. . . . . . . . . . . . . . . . . . . . . . . . . .. @ M-. C @C. ! M
(482) NM
(483) /M- y . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . .. . . .
(484) . . . . . M "
(485)
(486)
(487) π
(488) iM
(489)
(490) M
(491) M . /M &M τ
(492)
(493) M . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . M
(494) @. .
(495) 0. C
(496) Jbnc q iiiiiiiiiiiiiiiI; 3 ce
(497) qcnc q iiiiiiiiiiiiiiI; / / TK _n q>f@c j5 iiiiiiiiiiiiiiI; K K H
(498) b_ E p cq; /C v c qc @;@C 8; iiiiI; K C do;x f \ qc iiiiiiiiiiiiiI; K gH c b oiiiiiiiiiiiiiiiI; K /
(499) n q V@}> \\ q_ iiiiiiiiiI; K K ,3 iiiiiiiiiiiiiiiI; E Jn qbJ q iiiiiiiiiiiiiiiiI; & DE6 G DE+ "$()*:#DL %< G 1 7#7<BAZ. . . . ZO c . . . . . . . . . . . . . . . . . . . . . . . . . . .. XSLBtoXulnu. yM . . .
(500) $M. b→u. . . . . . . . . . . . . . . . . . . . . . . . . . . . .. C
(501) Jbnc q iiiiiiiiiiiiiiiI#C K 3 ce
(502) qcnc q iiiiiiiiiiiiiiI#C K / doK v f \ _ iiiiiiiiiiiiiiiIDC K ] cqcnc_~ @ncq Jn qc e;y
(503) b_ iiiiiiiiiIDC FE 3 7> nc q iiiiiiiiiiiiiiiI,/ ] <` ebqBbyn 5 iiiiiiiiiiiiiiI8K Jn qbJ q iiiiiiiiiiiiiiiiI 2. .
(504) . . . . . . . . . . . . . . . . . . C j8; c n B q_
(505) viiiiiiiiiiiiiiI .
(506) 5. Jg bJ k \ j p_q iiiiiiiiiiiiI,& / π _q
(507) iiiiiiiiiiiiiiiiiI,& 0. . . . . #. 2#
(508) cos φ . . . . . . . . . . . . . . . . M
(509) @ + B → π`ν =
(510) B . . . . . . . . . . . . . . . . . .. .
(511) . 2. . B.
(512) . . C bJ f@ IiiiiiiiiiiiiiiiI /?E. P. P P. /. fP}q8Kq iiiiiiiiiiiiiiiI / de c f@q8; q0 |V | iiiiiiiiiiiiI/K . ub. DE6 G DE+ "$()*:#DL %< G 1 7#7<BAZ. . . . . . . . . . . . . . . . . . . . . . . . .. .
(513) C.
(514) A . H \
(515)
(516) ; q wuJ _ ; q. B → π 0 `ν. . /. iiiiiiii. CC R #r w;qeZz g_ Fiiiiiiiiiiii C R #r w;qeZz g_ oJ f?q_ iiiiiiiii C /. . _B gn bcqqc p b _ f@f? pb r*
(517) wJqoCz g_ vii . C e d c _B ;_y cf?_q \ _lBbob f?c B iiiiiiiiii e d c _B ;_yj8
(518) _l5bJ bf@
(519) B iiiiiiiiiii / H
(520) bf? J g 7>
(521) c \\ 5n jc \
(522) qf@ ;q pb q_q
(523) \ b pf@
(524) b c |V | tv{z _oc _B ;_ p
(525) f@qq \ qlBbc B → X `ν ub u K r*b
(526) qc ; q
(527) f0_q
(528) \ b # 7Cc f@ scqc * Lnc b
(529) E
(530) f? iiiiiiiiiiiiiiii E H
(531) b_; oJ p] H \ bJ oqvn qncb b Ln cb E f@ f (q2) 8J + _ pc q ;_ B → π`ν iiiiiiiiiiiii H
(532) b_; d _5_ \ _ p;qcb \
(533) qf@ _ \ b Ec gl5b_ gcn } bn _ c glBb8; B Jiquf?c i f \ q
(534) oc *
(535)
(536) b_; Rc <n _w} Kq Cm ?c eh d \ b _n qncb*J Ln cb oJ E
(537) f? f (q2) c f (q2) 8 o_
(538) qc + 0 q B → π`ν iiiiiiiiiiiiiiiii _qb Kq If@cjJ c NZz ;8 ^
(539) F Jncqb
(540) _Fc J _ ; q niby ; c_lBbc
(541) iiiiiiiiiiii B → X `ν. /JC /J /J / /J K. /J E. u. ] cnc q @nnca \ 5bn _J
(542) 8nc Υ c-En _Ja z J _ b n fJ gn _q_ q e+ e− iiiiiiiiii pncn _ ;cb qqJ_ eJb ] gh632h iiiiiii H _~Zz qc n _y L_ n b iiiiiiiii Rbf@q _ _
(543) 3cb c c cq c \ V_e cnccbM 9;=9<;?> \ bJq p c J }bJ Niiiiiiiiiiiiii de _q VJb cnccb: 9;=9;?>F b Ln ;88 _ \ w x y iii. ,&. / / /& KC. / K E8K. E . E E K.
(544) . 5_. /J . de _q VJb cnccb :9;=9;?>F bn 88; q \ q y z iii /J ] n jJ f?xJb ] er 5bJ L;n ? \ q x y iiiiiiiiiii /J ] n jJ f?xJb ] er 5bJin ? \ w y z iiiiiiiiiii /J & H
(545) qbJ q J @n qJl n bn jJ 0Jb ] er z ?c φ c En _ {z JqZz|_n _ Jn wu n iiiiiiiiii /JC/ ] n jJ f?xJiqxd bJn ? \ w y z iiiiiiiii /JCC ] n jJ f?u wPncb \ e
(546) _ K \ f@qsc c V b \
(547) n bJn j goq d iiiiiiiiiiiiiiiiii /JC$ ] n jJ f?xJiqvc nc qyc \ j c / \ p_d 'H ii /JC/ ] n jJ f?xJb 32 5b n ? \ q y z iiiiiiiiiii /JC K ] n jJ f?xJb m H iiiiiiiiiiiiii /JC E _qb Kq n c
(548) ;q \ ; f@sc cn
(549) _; qc nc n j8
(550) c /JC
(551) T; q b V ^ \ _l5bJ g π0 cn
(552) b_ t 9;9;?> iii /J C$ c b
(553) N dE/dx 8; ~w d \ b 0 \ _n b_ &J 7> c ^ \ cgqf \ b_ _ iiiiiiiiiiiiii /J C
(554) q
(555) ;/ f@ bJ \ b g
(556) e ^ \ c o \
(557) qncbqc c En q _ b p_f \ bJq _ tx z bd 'H iiiiiiii /J C& 3 @nnc_ iCz|_
(558) 8nKq~ _ n A Enc qy_ b p_f \ bJq _ /J 3 @nnc_ iCz|_
(559) 8nKq~ fub A Enc q~Ji_ b _f \ bJq _ . ?E ,/. E . /. . K ?E ?E . KC g_ ^ r# q_uiiiiiiiiiiiiii C K m8 ^ f?yq ;f # jJi
(560) f@q_ \ qn B J n ^ B → π ` ν i C / K / ] n jJ f?;_no _! * j cf?_q \ _nv n jJqlBb iiii C / K K m
(561) au pj j ^ \ ;jc q V j8;V joncfu}_8; qn}8n B
(562) byq _q a_ m iiiiiiiiiiiiiii C $C K E qc φ θ θ 8; γ qf \ q_ ?q cos φ iiiii C C / K bJg \ qf@ ;_ iiiiiiiiiiiiiii C C K K doK ncf \ _ J E pc ;
(563) w}Jq ?iiiiiii /C DC K doK ncf \ _ J E q> j_~c ~iiii /C K & doK ncf \ _ J E \ _ V; w;}qc $C iiiiii /C ,/ −. D0. D0. B. BY. Bπ 0 `. 2. B. 0 −.
(564) 55qq. KC/ KCC K$C K C / K C K K C E K
(565) C . doK ncf \ _ J E \ _ V; w;}qc iiiiii doK ncf \ _ J E \ _ V; w;}qc / iiiiii f \
(566) q
(567) ~ } c qq J 87
(568) 8Jn 8;'C$ cos2 φB f \
(569) q
(570) ~ } c qq J 87
(571) 8Jn 8;{ cos2 φB f \
(572) q
(573) ~ } c qq J 87
(574) 8Jn 8;!/ cos2 φB f \
(575) q
(576) ~ } c qq J 87
(577) 8Jn 8; KB cos2 φB doK ncf \ _ x >j cos2 φ _
(578) q}JbJ_ _@ j }8n B b B
(579) g f \ q iiiiiiiiiiiiiii KC$ cos2 φB j8 \ n f \ ; q
(580) y}> ac BB BB c c ii KC
(581) hkdom8 }Jqcy} ^
(582) qvjJ EbJq< f \ _ iiiii KC& cos2 φ Jq
(583) _}bJ_ /c w ^ _ j jJ0 c b E f jJ
(584) P VjJ B Eb_R f \ q iiiiiiiiiiiiii K H _q qnr* ^ c
(585) g c b iiiiiiiiii K DC cos2 φB Jq
(586) _}bJ_ /c w ^ _ j jJ0 c b E f jJ
(587) P VjJ 8K v f \ _ iiiiiiiiiiiiiii K cos2 φ Jq
(588) _}bJ_ /c w ^ _ j jJ0 c b E f jJ
(589) P VjJ B 8K v f \ _ _ jTu_f?c Vf@ }_ ~j x q iiii K ,/ cos2 φB Jq
(590) _}bJ_ /c w ^ _ j jJ0 c b E f jJ
(591) P VjJ 8K v f \ _oqy q2 }JqZ iiiiiiiiiii K 8K q2
(592) qb q'iiiiiiiiiiiiiii K E m
(593) au pj j ^ \ ;jc q V j8;V joncfu}_8; qn}8n B
(594) byq D _q a_ m E pb}qocycc iiiiiiii D K doK ncf \ _ E pJb}_o yc c iiiii K 'h*
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