V A. V-A ansatz for fundamental fermions

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1 Avan Parl Phy: I. ak nraon. A Thory Carfl analy of xprnal aa (pary volaon, nrno hly pn hang n nlar β-ay, on ay propr oghr w/ nvraly fnally l o h -A hory of (nlar wak ay: M A A ( ( ( ( v p A n nlon lpon / fn. fron Copo o, A vor an axal-vor oplng of nlon:.69 ±.9 PD A or-ron Thory -A anaz for fnanal fron J A J B l J A an J B ar lpon an qark rrn J J l l q ( ( M JA, JB R Rnr ( ( Elrowak Thory Aorng oay nranng h -fron oplng h q l of propagaor: q q ( g J A g g gw M gw w oplng for w M JA, J wak nraon q M q g w for q : M J B g w 8M B h.6x - - follow w M 8: g w.6 6 J.Pawlowk / U. Uwr

2 Avan Parl Phy: I. ak nraon J.Pawlowk / U. Uwr 7. -A oplng of lpon an qark Rnr l l ( In -A hory h wak nraon opl lf-han lpon/qark rrn (rgh-han an-lpon/qark rrn wh an nvral oplng rngh: 8 w M g Charg wak ranon appar only n wak-opn ol: τ τ τ τ (. (. (. (. (. (. pon rrn: Qark rrn: Prol: No qal o h a gna 8. CKM arx o r h qark xng On fn ha h wak gna of h own yp qark nrng h wak opn ol ar no qal o h hr a/flavor gna: Cao-Koayah-Makawa xng arx Th qark xng h orgn of h flavor nr volaon of h wak nraon. ak gna: Ma/flavor gna: ak ranon

3 Avan Parl Phy: I. ak nraon Cao Angl Horal rrop Unl h arly 7, only qark flavor wr known. Th wak ranon wn qark wa r y a ngl qark ol: oθ nθ Mxng angl θ Cao-Angl Th xng r aoaally h ppron of S ranon (~n θ Horally h Cao Angl wa nro o r h ppron of ranon wh rp o ranon (ang a nvral oplng : nθ l M ~ n θ ~. oθ l M ~ o θ ~.9 l l 9 Non-orv CNC an IM han CNC n h qark ol: K Horal rrop K M ~ nθ oθ Thorally on pr larg BR, n onraon wh xprnal l for h ay: BR BR ( K ( K 9 all (7. ±. Propoal y lahow, Ilopolo, Maan, 97: Thr x a forh qark whh l oghr wh h qark a on ol: nθ oθ IM K M ~ nθ oθ Aonal ynan-raph for K whh opna h fr on: Pron of a forh qark: Ma pron BRf(, J.Pawlowk / U. Uwr

4 Avan Parl Phy: I. ak nraon ak nraon an h qark or: Horal rrop 96 Dovry of CP volaon y J.H. Chrnon al. BR( K 97 Koayah an Makawa: 97 IM han pr a forh qark: -qark CP olaon an xplan hrogh qark xng f a opl nw, hr qark gnraon x: n h a xng arx ha oplx ln. Pron of a r qark gnraon 97 Dovry of qark a 977 Dovry of qark a 99 Dovry of op qark Propr of h CKM-Marx CKM Coplx, nary N N Marx: N Parar: N 9 N CKM CKM N ( N - / Elr angl (roaon angl Ranng parar ar pha: N- ar naral pha ff Orval pha 6 ( N orval parar J.Pawlowk / U. Uwr

5 Avan Parl Phy: I. ak nraon J.Pawlowk / U. Uwr δ δ Pararzaon of CKM Marx: Angl Pha PD ho olfnn Pararzaon θ θ n, o whr ( ( ( η ρ η ρ O A A A A CKM, A, ρ, η hrarhy xpr y orr of nθ. Mol of h arx ln: PD 6 n lang orr only h ln an ar oplx. CKM Marx C

6 Avan Parl Phy: I. ak nraon.6 T of -A rr n parl ay a Mon ay Applyng h ynan rl: -fron nraon gnor propagaor M α [ ( k ( ( p ][ ( p ( v ( k ] α k p p k Analogo o h QED allaon of hapr III on fn afr a lnghy allaon: Spn M M 6 ( k p ( k p Ung M Φ on oan h E nong flx lron pr n h on r fra: E ( E E wh E lron nrgy E τ E 9 Marn of h on lf h prov a rnaon of h fnanal oplng τ (.97 ±. (.669 ±. 6 r onan ar n on ay ofn all 6 - J.Pawlowk / U. Uwr 6

7 Avan Parl Phy: I. ak nraon T of -A rr n h on ay Mo gnral for of h arx ln for M g S,, T /, R ± for S, for T ( ( v ( ( ( ( R Chraly, rn y S,T S,T / R / R No ra rng h lr / R Pol rrn-rrn oplng: \ RR R R S x x x x x x x x T x x Thr ar n gnral oplx apl g Pr -A oplng: g all ohr g 7 g Exprnal rnaon of fro nrgy pra an pn orrlaon of h ay lron fro h polarz on Coplng n on ay Ia: -A a vrx H No ra rng h lr 9% C.. Confgraon w/ ax - on pol A a vrx RH D o anglar on onrvaon no pol -A hory onfr 8 J.Pawlowk / U. Uwr 7

8 Avan Parl Phy: I. ak nraon Pon ay,, Naïv xpaon: Ang h a ay yna h ay ra o hol h largr han o a h pha pa h ggr. Qalav xplanaon whn -A hory:, J Marn: (PD ( (. ±. ( arg ppron o a yna ff. Anglar on onrvaon for h lpon no h wrong hly a: ppr ~ (-v/.. for vanhng lpon a h pon ol no ay no lpon. 9 Drnaon of ay ra: q k p,, -fron nraon gnor propagaor Qark n pon ar on M ( [ ( v ] alar parl ( p k f [ ( v ] M A h pon pn, q h only rlvan -vor: q p ( q f ( q k Pon for faor: q : f ( q f ( f M ar! J.Pawlowk / U. Uwr 8

9 9 Avan Parl Phy: I. ak nraon J.Pawlowk / U. Uwr ( 8 ( ( 8 ( f f.7 ( ( Th pron of h -A hory onfr y h xprnal orvaon. PD. (. ±

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