3. Anomalous magnetic moment

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1 3. Anolos gntc ont 3.1 Mgntc ont of th lcton: Dc qton wth lcton colng to lcto-gntc t fld: D A A D ψ 0 cnoncl ont Anstz fo th solton s fo f tcl: t t Χ Φ Φ Χ 0 A 0 A Χ Φ 0 Χ Φ χ ϕ x x 4

2 Non-ltvstc lt: E, A <<, 0 x t Dvng Fo ths lt t ks sns to st ntcton v chg nd gntc ont t χ ϕ A 0 χ t 1 0 ϕ χ A ϕ t ϕ χ fo nstd n 1: t χ 0 A χ Pl qton. 43

3 [ ][ ] B j j j j 4 1,, χ χ 0 A B A t g wth B S g B g Godon dcooston fo lcton cnt: f Intcton d to sn ν ν A f f f f snlss chg f A ν ν ν 44 ϕ ϕ B χ ϕ wg. Non-ltvstc lt

4 3. Effct of hgh od coctons ν ν A f f f ν ν A 1 ν ν A f f f 1 g g 1 g 45 g 1 st od:

5 Conts bot hgh od coctons: k kq δγ Γ Γ q -k k δ Γ Γ, Γ δ k k g k d ρ ν νρ / / 4 4 k k k ε ε ε 4 Pobl: Intgl dvgs fo lg s wll s fo sll loo ont Pobl: Intgl dvgs fo lg s wll s fo sll loo ont UV nd nf-d dvgnt. W wll dscss lt how to dl wth th dvgnt ts. Th 46 nng non-dvgnt t odfs th colngs.

6 Hgh od coctons to g- Rdtv coctons g- clcltd to th 4-loo lvl: Fynn Ghs O 1 O 7 O 3 7 O tl O Most cs QED dcton. T. Knosht t l. 47

7 Knosht Knosht

8 3.3 Elcton g- snt H. Dhlt t l., 1987 G. Gbls t l., 006 Exntl thod: Stog of sngl lctons n Pnnng t lctcl qdol xl B fld colctd lcton ovnt cycloton nd gnton cssons. ν 00 MHz Cycloton fqncy C B c ν 134 khz ν C 149 GHz Sn csson fqncy s g B c Engy lvls l sngl lcton: Id: bond lcton:

9 Tgg RF ndcd tnstons btwn dffnt n stts o sn fls: s c g g B c B s c H. Dhlt t l ost cs vl of : Fo coson fo Qntn Hll 1 qh Thoy G. Gbls t l Phys. Rv. Ltt. 97, Phys. Rv. Ltt. 97,

10 3.4 Exntl dtnton of on g- Pncl: sto olzd ons n stog ng; volton wth cycloton fqncy c s sn csson ond th gntc dol fld ltv to th dcton of cycloton oton C B c B L g c L B C C Pcsson: 1 B β E c 1 Dffnc btwn Lo nd cycloton fqncy Effct of lctcl focssng flds ltvstc ffct. 0 fo GV/c Fst snts: CERN 70s

11 g- Exnt t BNL E4GV 1 /10 9 otons on tgtt 6x10 13 otons /.5 sc 7.1 V-A stct of wk dcy: Us hgh-ngy fo on dcy to s th on olzton Wk chgd cnt cols to LH fons RH nt-fons ν ν ν ν 5

12 Ms lcton t: λt [ 1 A cos t ] N t N0 t ϕ X Hz 0.7 c B? 53

13 Fo to - How to s th B fld <B> s dtnd by sng th oton ncl gntc sonnc NMR fqncy n th gntc fld. 1 / ~ / ~ 4 ~ B h h g c B c h / / / / / / W. L t l., Phys. Rv. Ltt. 8,

14 NMR tolly 375 fxd NMR obs ond th ng 17 tolly NMR obs ~ / Hz 0. 55

15 θ 70 o B fld dtnton B-<B> <B> [] o θ0 θ9 90 o o θ180 Th B fld vton t th cnt of th stog gon. <B> T Th B fld vgd ov zth. 56

16 U to 6.6 dvton: Oftn nttd s sgn of Nw Physcs: SUSY contbtons cfl: Thoy hs nctnts! Potntl SUSY contbtons: 57

17 Rks: Thotcl dcton of Bsd QED coctons th wk coctons W, Z xchng nd hdonc coctons Hdonc coctons QED Hd EW Fo th lcton wth ch low ss th hdonc nd wk coctons sssd, nd cn b nglctd. Dtnton of hdonc coctons s dffclt nd s n ddton bsd on dt: hot dscsson ongst thotcns how to coctly s th dt. 58

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