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fo5 ,0,frha..< t^a" xr.^e*83 Tbrcr *Ltt( 4.he1 | EFTL - PDF document

Oct 20, 2023 •257 likes •903 views

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  1. Cha1"."1.rt cr^cs a^1" s.7<**rc $,.., t+ro\- Sta.lel .heq/ ?}sres Zrro,Âr(ç fo5 ,0,frha..< t^aû" xr.^e*83 Tbrcr *Lçtt( 4.he1 | EFTL l-r,,.sry

  2. t .--. nry|'tv> 1n9 f r-urr o / rl1pTl l..4.Ltros 4tn"l ' r#s o ô-.-6ne-o u t\.?t'Y)\iLo rr''r, 1uyn{,r hrtrn vËansu o ri.îse \rstU 4*rè ,r.f-.'rop l, qt.1

  3. ' (1*4*rr) .îr.r.-ong 4o" l. <a-'r-..[,-rt,, '*ry " r-j, pTl ap.N qp + *r.rrd ,i.^ùa+_ -r+d : ær..21{ .\.r./ '}}\acD (*l *vrr'va nrzqv î-p .' d r-orrr, {E . xrl r,bcà?w i -rqttd- îÀ . lp l,?,-\r;h"î frrrrreç1p ,t . /ro*î y lp .b1.r?.s^e I -XvJ *.lh rr o Ye1wy' )r>f.ro\cÙ,6' r?t lV ?r2)t /n"n-/.rrô". : trfya".,rrq È 'i,o**{trë_,

  4. Problem gauge + gauge massless nonabelian symmetry bosons Local Solution Higgs mechanism qymmetry (spontaneously): . State of lowest energy breaks UarO, ntO M2<0, A>o ho E-)t2h2+.1 parameter +-+ -\/ mâss < O ist necessary -\12 field: Higgs boson mechanism + additional Higgs with all particles proportional with the strength interacts of the particle to mass (yet) --- LHC (CERN) not observed - experimentally

  5. Weaknesses of the Standard Model r Higgs mechanism not really understood lvr2 < O . Higgs boson not observed (pt) Mass of the scalar Higgs boson unkno^rn + experimental difflcult (110 search - 2OOGeV) o Many free parameters r Gravlty not involved in unlflcation (Planck scale) r Uniflcation of electromagnetic, weak and strong fcce. Indlcations: . quarlG, leptons gauge q/mmetry compatible with higher o unlflcation of coupling constants at higher scale Ir 50 Q 30 n l0 tr f-J.--.--la/+-i---------r- -0 5 l0 15 ttogQ

  6. problem Haerarchy corrections to Higgs boson mass: Quantum Higgs Higgs + sensitivity to highest scale in the theory Quadratic Planck Standardmodel (,. levl After inclusion in larger theory: No stabilisation of the Higgs mass boson at the SM scale Photon and quark masses protected by gauge C:mp:r-,s:n symmetry and chiral respectively symmetry,

  7. Indirect Search for Supersymmetry hy prob . H iera rc le m : Higgs /-\. Higgs -'\----- Planck IeVI (Boson Supersymmetry Fermion Symmetry) stabilizes the low-energy theory Higgs /-\ Higgs =0 SM (MSSM) SM + Supersymmetric .reeds a SuOerpartner, -\1r,.r < 1000Gel' E'",eryccCr data: SM .-' MSSM Global fit to electroweak (Susy contributions decouple) Mechanism of necessary SUSY breaking unknown free parameters ---+ rrrânv problem Many other solutions to the hierarchy on the market: little higgs models, extra dimensions, ... However: Coleman-Mandula Theorem

  8. Coleman-Mandula Theorem internal and space-time There is no nontrivial relation between quantum field theory. in relativistic symmetries is the maximal symmetry of space-time. Poincaré-Symmetry n. n- Ma ndulJ C I1.. a However: does connect these two kinds of symmetry Supersymmetry tra nsform ations: -f nf BoG( I SUSY SUSY Fermion Boson Fermion (as- generalizes the former symmetry concept Supersymmetry by connecting theorem) within the Coleman-Mandula sumed bosons I fermions and

  9. Further Arguments for Supersymmetry with all present data (SUSY de- compatibel contributions ple!) cou prediction . model-independent of the Higgs boson mass: (;, \ ' 130 . allows for deeper understanding of Higgs mechanism E M4o, A'o M2.0, AtO ]'tf /:- - \ /- * ',- para mass meter <--+ I / n € C € SSârV --t tvl Planck- Standardmodel J of top quark (1982 l!). large mass necessary

  10. problem . offers solution of the hierarchy Higgs Higgs Hiæs =0 + Planck Standardmodel E 1012 levl o ElGrapolation: Unification of the three forces of SM E rf 60 fl) 50 50 40 Æ :n 30 m m l0 l0 0 0 0 l0 l5 0 l0 l5 tIoeQ tolog Q

  11. Flavour Problem Supersymmetric . In the MSSM two kinds of new contributions to flavour violation - CKM induced contributions from ÀI+, 1* exchanges - flavour mixing in the sfermion mass matrix persym problem + metric flavour Su Dynamics of flavour - Mechanism of SUSY breaking Tvro approaches: may provide Model-independent important hints anallrsis on the more fundamental theory of soft SUSY breaking FCNC processes also allo\^/ for stringent constraints on models (mSUGRA, specific supersymmetric GMSB, AMSB). to the mechanism B - .Y. r- is sensitive of SUSY breaking, because in the limit of exact supersymmetry:

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  14. ST^rsr,.*.r{^è Vlarris: : O 'tÂc ùLveoL"..s Wd rtttccç.J f-t..&" "t.ft ôr( y 6 tln.^r1.,.^e.1iou d".t.a/ e*tr çroputi^r uA Ll lLt s\ufrt-L.-f W. ""1' € *tr 7**r.U, b,t.r-,-1: o î.^ ..1+l .r,-uY-ôxatrirl stou&ttc -*pt.l.iïp s.F ({ posiLrzr t|',q',t aula^s.-..) t^ arâ; Ti L{ c5q '*o t.".L^ratC2 h^eùtod a- Làc-touc;l.2 6r*,"'cer" t(t rQet"rrwrcÀ soat a..^'f {-î("..à sc,,0{. ,..,.is Ïluir ui p.$r'<Jer rttab drsrgsic.trS 4.^.-^r Sctr,rl - -"*9 Etrorld k dcn^,t; )rvrw..rr2 -"f-f 'Ihc rorr} { carcr0Cotr.r ol 1rr,dnâJcdf, A.rVu1Â ÀrJ ltr es$êcL4 dL{q.rù'lirr p,lcrl rclsÈs Lt xQatca ar si te,rLrctrsr s\rJô corpeaT 1T'7* ".ffiL*9 Àr Sht( l" ç.t..rrL a l[ t,'ot*- :-?ntf* rttAr-.cËro îr^^o..rr,h^ 0.sr \i,.rr.l.^ eocpt.,t^ r ù Lr çr tr.l rCrr,'l I rv.t a*t - ]*if, lÈ. À (*)* l petsl-r,ra . S..r; :F&ror^' t .[ + ld[*..-.À-^' -^ èrlf s.ft À^r,r-s

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