Motivation. Loop-suppressed B meson decays can serve as sensitive probes for New Physics:
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- Kerrie Nash
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1 Prong Nw Phy wh mon ay Ulrh Uwr Conn: Movaon Quark flavor phy n h Sanar Mol Exprmnal Sau Flavor phy yon h Sanar Mol HC Exprmn mon ky maurmn a h HC Movaon oop-uppr mon ay an rv a nv pro for Nw Phy: W Nw Phy W Nw Phy ox Dagram (Ollaon Pngun Day onal Nw Phy amplu mofy aolu ra u alo pha pnn orval uh a aymmr:.g. SUSY mol Havy quark phy: Complmnary o r Nw Phy arh y TS an CMS. Invga h flavor ruur of NP f foun. Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay
2 Horal Exampl GIM Mhanm: Orv ranhng rao ( all ( 9 (7. ±.5 u W W ν In onraon wh horal xpaon n h 3-Quark Mol - mxng: u, W W u, GF Δm m f m o θ 4π n θ Glahow, Ilopolu, Maan (97: Pron of a n up-yp quark Gallar, an onr (97: From from - mxng frquny: m ~.5 G quark wa ovr only n 974! 3 Mor Exampl GUS Exprmn, 987: Orvaon of - Ollaon m > 5 G u u v Dar op ovry. Pron lro-wak Phy a h Z Z Z f f Pron of op ma va raav orron m 7 ± 7 9 G fr op ovry: Pron of Hgg ma m H < 44G ( 9% C 4 Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay
3 Why uyng mon? quark: Hav quark ha form haron oun a (m~4.7 G. Mu ay ou 3 r famly ll ay ar CM uppr u Hgh ma: many al fnal a (all r ar mall ong lfm (~.6 p: xprmnally mpl o nfy arg volaon xp Tr ollaon FCNC 5 ay (for rfrn Domnan ay Sm-lpon Haron ar haron ay Inrnal paor Gluon pngun W-xhang aav an lpon ay aav pngun Elrowak pngun Elrowak ox nnhlaon 6 Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay 3
4 mon phy PDG 986 PDG 9 > 5 pag 987 Fr orvaon of mxng 99 Evn for 993 Fr orvaon of γ, π π, m rolv mxng 994 Evn for Ξ,, maurmn of xluv lfm 998 Dovry of Dovry of n ym 6 Maurmn of mxng 7 Quark Flavor Phy n h Sanar Mol Ma gnraon an quark mxng Quark Mxng marx olaon n h Sanar Mol Unary Trangl Commn on h aryon aymmry 8 Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay 4
5 Ma Gnraon n Sanar Mol Sanar Mol agrangan: C.Jarlkog n olaon SM gaug( a, ψ Hgg (, a, ψ Yukawa ouplng: D U u Y Q jy jk qk Q jy jk qkc Y Wh Hgg oul an harg onjuga 3 ( C σ Q j h.. u q q j q j N o gnra ma for upyp quark. o no ranform a oul unr SU( 9 Symmr rakng ( Sponanou ymmry rakng: υ Y j,, 3 j ar an up D u U u { q Y q q Y q h.. }( υ jl jk k j jk k j, k υ q M q q j D jk k u j M U jk q u k Non-agonal ma mar: Dagonalzaon wh hlp of unary mar: U U D U M M D U U U D U D D D Dag( m, m, m UU v ~ 46G M Y U,D Y U,D U Dag( mu, m, m Daggr nrou for noaonal onvnn υ Dagonalzaon pol wh -unary ranformaon Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay 5
6 Phyal Quark Fl q j M jk q k q M q q U U M U U q U q D U q Th phyal fl (h on whh orrpon o h ma gna ar: u phy q, u u u u Uq U phy q, U q U { m uu m m } ( u υ phy Y 6 Dra quark ma q Charg Currn Inraon W q u xpr wh phyal quark fl u [ W W ] q γ q h.. u, phy u, phy [ W W ] q γ U U q h.. u, phy, phy [ W W ] q γ q h.. CM Quark mxng n CC r y CM pq q W p J 5 ( u,, ( -γ γ In SM Yukawa nraon only our of Flavor olaon Ma an h mxng angl anno unroo whn SM u u u Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay 6
7 Quark mxng & Flavor olaon In SM Yukawa nraon only our of Flavor olaon Ma an h mxng angl anno unroo whn SM Nural urrn nraon flavor onrvng: Nural urrn I q γ [ ] q q phy U γ [ ] U q phy q phy γ [ ] q phy U U Flavor Changng Nural Currn (FCNC pro an appar n h Sanar Mol only a loop-lvl: 3 Paramr of CM marx Numr of npnn paramr: 8 paramr (9 omplx lmn -5 rlav quark pha (unorval -9 unary onon 4 npnn paramr: 3 angl pha PDG paramrzaon 3 Eulr angl θ, θ θ 3 3, Pha δ ' ' ' δ δ δ δ whr oθ, nθ j j j 3 j 3 δ δ δ Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay 7
8 Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay 8 Unorval Pha Pha of lf-han fl n J C ar unorval: pol rfnon u u u ( ( ( ( ( ( al numr Unr pha ranformaon: ( ( ( ( u u u u ( ( ( ( j j j α α α ] ( ( ( xp[, ( G f phy nvaran, ( H f aff, rphang q 5 Wolfnn Paramrzaon u u u ' ' ' u ( ( ( η ρ η ρ O u u u CM,, ρ, η wh. u -γ -β ( ( ( ( ( ( η ρ η ρ η ρ η ρ O CM -β 6
9 Complx CM lmn an volaon j u j j u j u j j T (T volaon j j.. Complx lmn mark: For quark gnraon h mxng r y h ral x Cao marx no volaon!!. To xplan n h SM oayah an Makawa hav pr a hr quark gnraon. 7 olaon n h Sanar Mol qurmn for volaon whr Ung paramrzaon J ( m m ( m mu ( m mu ( m m ( m m ( m m J J { }( j α β Im, α jβ β jα nδ η O volaon mall n h Sanar Mol Jarlkog rmnan 5 ( Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay 9
10 Unary Trangl CM marx unary : onon (6 normalaon, 6 orhogonaly u u u u u u u u u u u u ( ( ( (u ( (u u u u u ( (u ( u u ( u u u u u ( (u u ll 6 rangl hav h am ara ( J / : a maur of n h Sanar Mol. 9 n Unary Trangl raw unquah Δ an v y Im η u u 3 γ α ρ u u β 3 3 ( ( ρ,η ( ( ρ,η α π β γ γ arg u u η an ρ ~7o β arg η an ρ ~o Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay
11 Unary Trangl from Day Im α & u γ β S from onrvng orval Unary Trangl from Day Im : α ππ, ρπ, ρρ ngl from volang orval γ β : D, D, D, π, D π ( : ry rar ay vral 9 mon nary S J/ ψ Goln hannl Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay
12 Th n Unary Trangl η Im 3 α u u 3 u u u (u η γβ ρ ββ β u 3 ρ β arg ~ η ~ o 3 Sanar Mol & aryon-ymmry Explan h Sanar Mol h aryon-ymmry of h Unvr? Saharow Conon: aryon numr volaon C un volaon Dvaon from hrmal qulrum olaon n quark or y fakor ~ oo mall. For M Hgg > 4 G: Symmry rakng n orr pha ranon rav: SUSY xnon of h Sanar Mol onal olaon xn Hgg-Sor rong pha ranon Mo arav alrnav: po-aryogn 4 Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay
13 Exprmnal Sau - faor Maurmn ollaon Maurmn of olaon n J/ψ UnaryTrangl 5 σ ( - faor ϒ(4.58 G 5% / 5% / par prou n a ohrn a wo mon volv unl on ay σ. n Connuum ~ 3 n. mllon / f - 6 Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay 3
14 ymmr am nrgy E CMS.58 G 5% / 5% Symmr: 5.3G 5.3 G mon a r Zrfallläng z ymmr: 9G oo β.56 3.G z βγ ay lngh z 5m 7 ymmr faor SC Hgh Enrgy ng : 9. G - ow Enrgy ng : 3. G E Hgh Enrgy ng : 8. G - ow Enrgy ng : 3.5 G Dgn lumnoy : 3 x 33 m - - Dgn lumnoy : x m - - Pak lumnoy :.7 x 34 m - - Pak lumnoy :.7 x 34 m - - am rong angl : mra 8 Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay 4
15 ollaoraon änr 8 Inu 6 Phykr ollaoraon 9 3 Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay 5
16 3 Mxng Phnomnology ( ( M Γ ( ( No ma gna Ma gna: omplx offn p q wh m, H p q wh m H, ΓH m ΓH, H, H, ( H, ( Γ Flavor gna: ( H ( H p q 3 Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay 6
17 Mxng of nural mon P( P( P( P( T 4 4 q p p q 4 Γ ( [ m] ΓH Γ ΓH / o Δ Γ ( [ m] ΓH Γ ΓH / o Δ Γ ( [ m] ΓH Γ ΓH / o Δ Δm m H m, T- volaon n mxng: q P( P( p 33 - Mxng,,8 6,6,4, P( Γ P( Γ Γ ( o Δm Γ ( o Δm Δm m H m (m Γ Γ Γ ( H Ollaon Frquny, ,5 -,5 - π Δm P ( P ( -, / τ P ( P ( 34 Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay 7
18 Sanar Mol Pron u u v η.55 ±. NO QCD Δm m η F m GF m ( f mw 6π W.w. orron 35 ± 33 ± f ( M from la QCD Δm ~ ( 35 Sp of ollaon maurmn Υ( 4 Sg ν D Ma & rx onruon Δz 5 m Δ maurmn Sar / Sop ag l -flavor Taggng & rx onruon Taggng Qualy: Q 3.5% 36 Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay 8
19 Ollaon prf ral aggng & Δ roluon aggng g & Δ roluon unmx unmx mx mx 37 Ollaon π Δm Δm ±.6 ±.4 p τ ( man valu Marh 6 Δm ±.(a. ±.7(y. p τ (CDF Collaoraon, Spmr 6 38 Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay 9
20 Orvaon of volaon f f f f δ δ o( δ o( δ 39 Goln Day J/ψ J / ψ J / ψ J / ψ η - J / ψ u u v Mxng Pha: β 4 Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay
21 Goln Day J/ψ J / ψ J / ψ J / ψ η - β Γ( J / ψ ( Γ( ( Γ( J / ψ ( Γ( J / ψ J / ψ π ~ Γ ( J / ψ ( Γ( J / ψ ( ( nβ n( Δm ( 4 olaon n J/ψ mxng q / p q β ~ p η ay W mxng q β p q / p Sam for all hannl all ohr CM lmn ar ral β Im( n(β no r, no n mxng 4 Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay
22 Γ( Γ f ( olaon n J/ψ Δ / τ ( Im ( n( Δm o( Δm Δ / τ ( f ( Im n Δm ( o Δm ( ( ( ( Tm rolv Γ( ( f Γ( ( f f f o Γ( ( f Γ( ( f Im S f Cf [ S n( Δm C ( Δm ] nglgl Inrfrn na r volaon nβ for J/ψ S f q/p 43 Sp of h maurmn Υ( 4 J / ψ S π Now: gna π Mon & rx onruon Δz 5 m Δ maurmn Sar /Sop ag l -flavor Taggng & rx onruon 44 Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay
23 fully ronru vn ag D π - fa D π of - π (Δ ψ(s - π π - Δ war n. 45 ymmry an nβ P 94, Mo N ag - fnal a N ag Pury J/ψ S ( S π π % J/ψ S ( S π π % ψ(s S ( π π % S ( S π π % η S ( S π π % Toal 437 9% Exampl (Summr 6 n β.7 ±.4 ±.3 46 Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay 3
24 Exprmnal Sau Conran only from loop Whn unran loop-pro wll r y SM. Nw Phy ff only appar orron o lang SM rm. 47 Prong h Hgh-nrgy Fronr a h HC: Prong Nw Phy wh mon ay 4
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