MadGraph 5: Advanced Topics

Transcription

1 MadGraph 5: Advanced Topics Olivier Maelaer Universiy of Illinois a Urana Champaign Thanks o Celine Degrande o allow me o presen par of her work FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

2 Plan of he lecures Moivaion For Dimension 6 Operaors MG5 Generaion Example: forward-ackward Asymmery FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

3 Wha can we expec from he LHC? FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

4 Wha can we expec from he LHC? A new peak ) Evens/(8 GeV/c Bkg Su Daa (. f ) Gaussian WW+WZ (a) M jj [GeV/c ] FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

5 Wha can we expec from he LHC? A new peak ) Evens/(8 GeV/c Bkg Su Daa (. f ) Exclude By CMS Gaussian WW+WZ (a) M jj [GeV/c ] FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

6 Wha can we expec from he LHC? A new peak Nohing ) Evens/(8 GeV/c Bkg Su Daa (. f ) Exclude By CMS Gaussian WW+WZ (a) M jj [GeV/c ] FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

7 M A FB (± sa.) A FB < 00GeV/c ± GeV/c ± Wha can we expec GeV/c from 0.8 ± he 0.05 LHC? GeV/c 0.59 ± A new peak FIG. 7: A FB as a funcion of M (lef) and he same disriuion wih a es-fi line superimposed (righ). Tension wih SM Daa CDF Run II Preliminary L = 8.7 f NLO (QCD+EW) + Bkg GeV/c 0.8 ± GeV/c 0.7 ± GeV/c 0.06 ± Daa NLO (QCD+EW) + Bkg. Slope of Bes-Fi Line (8.9 ±.) 0 M. 0 TABLE V: Measured and expeced asymmeries as a funcion of M. UIUC Nohing - CDF Run II Preliminary L = 8.7 f - CDF Run II Preliminary L = 8.7 f ) Evens/(8 GeV/c Bkg Su Daa (. f ) Exclude By CMS Gaussian WW+WZ (a) A FB 0.5 l+jes Daa NLO (QCD + EW) + Bkg A FB 0.5 l+jes Daa - α M = (8.9 ±.6) 0 NLO (QCD + EW) + Bkg 0. - = α M GeV/c M GeV/c M M jj [GeV/c ] FIG. 8: Alernaive inning of A FB as a funcion of M (lef) and he same disriuion wih a es-fi line superimposed (righ). FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

8 M A FB (± sa.) A FB < 00GeV/c ± GeV/c ± Wha can we expec GeV/c from 0.8 ± he 0.05 LHC? GeV/c 0.59 ± A new peak FIG. 7: A FB as a funcion of M (lef) and he same disriuion wih a es-fi line superimposed (righ). Tension wih SM Daa CDF Run II Preliminary L = 8.7 f NLO (QCD+EW) + Bkg GeV/c 0.8 ± GeV/c 0.7 ± GeV/c 0.06 ± Daa NLO (QCD+EW) + Bkg. Slope of Bes-Fi Line (8.9 ±.) 0 M. 0 TABLE V: Measured and expeced asymmeries as a funcion of M. UIUC Nohing - CDF Run II Preliminary L = 8.7 f - CDF Run II Preliminary L = 8.7 f ) Evens/(8 GeV/c Bkg Su Daa (. f ) Exclude By CMS Gaussian WW+WZ (a) A FB 0.5 l+jes Daa NLO (QCD + EW) + Bkg A FB 0.5 l+jes Daa - α M = (8.9 ±.6) 0 NLO (QCD + EW) + Bkg 0. - = α M GeV/c M GeV/c M M jj [GeV/c ] FIG. 8: Alernaive inning of A FB as a funcion of M (lef) and he same disriuion wih a es-fi line superimposed (righ). FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

9 M A FB (± sa.) A FB < 00GeV/c ± GeV/c ± Wha can we expec GeV/c from 0.8 ± he 0.05 LHC? GeV/c 0.59 ± A new peak FIG. 7: A FB as a funcion of M (lef) and he same disriuion wih a es-fi line superimposed (righ). Tension wih SM Daa CDF Run II Preliminary L = 8.7 f NLO (QCD+EW) + Bkg GeV/c 0.8 ± GeV/c 0.7 ± GeV/c 0.06 ± Daa NLO (QCD+EW) + Bkg. Slope of Bes-Fi Line (8.9 ±.) 0 M. 0 TABLE V: Measured and expeced asymmeries as a funcion of M. UIUC Nohing - CDF Run II Preliminary L = 8.7 f - CDF Run II Preliminary L = 8.7 f ) Evens/(8 GeV/c Bkg Su Daa (. f ) Exclude By CMS Gaussian WW+WZ (a) A FB 0.5 l+jes Daa NLO (QCD + EW) + Bkg A FB 0.5 l+jes Daa - α M = (8.9 ±.6) 0 NLO (QCD + EW) + Bkg 0. - = α M GeV/c M GeV/c M M jj [GeV/c ] FIG. 8: Alernaive inning of A FB as a funcion of M (lef) and he same disriuion wih a es-fi line superimposed (righ). OR FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

10 M A FB (± sa.) A FB < 00GeV/c ± GeV/c ± Wha can we expec GeV/c from 0.8 ± he 0.05 LHC? GeV/c 0.59 ± A new peak FIG. 7: A FB as a funcion of M (lef) and he same disriuion wih a es-fi line superimposed (righ). Tension wih SM Daa CDF Run II Preliminary L = 8.7 f NLO (QCD+EW) + Bkg GeV/c 0.8 ± GeV/c 0.7 ± GeV/c 0.06 ± Daa NLO (QCD+EW) + Bkg. Slope of Bes-Fi Line (8.9 ±.) 0 M. 0 TABLE V: Measured and expeced asymmeries as a funcion of M. UIUC Nohing - CDF Run II Preliminary L = 8.7 f - CDF Run II Preliminary L = 8.7 f ) Evens/(8 GeV/c Bkg Su Daa (. f ) Exclude By CMS Gaussian WW+WZ (a) A FB 0.5 l+jes Daa NLO (QCD + EW) + Bkg A FB 0.5 l+jes Daa - α M = (8.9 ±.6) 0 NLO (QCD + EW) + Bkg 0. - = α M GeV/c M GeV/c M M jj [GeV/c ] FIG. 8: Alernaive inning of A FB as a funcion of M (lef) and he same disriuion wih a es-fi line superimposed (righ). OR FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

11 M A FB (± sa.) A FB < 00GeV/c ± GeV/c ± Wha can we expec GeV/c from 0.8 ± he 0.05 LHC? GeV/c 0.59 ± A new peak FIG. 7: A FB as a funcion of M (lef) and he same disriuion wih a es-fi line superimposed (righ). Tension wih SM Daa CDF Run II Preliminary L = 8.7 f NLO (QCD+EW) + Bkg GeV/c 0.8 ± GeV/c 0.7 ± GeV/c 0.06 ± Daa NLO (QCD+EW) + Bkg. Slope of Bes-Fi Line (8.9 ±.) 0 M. 0 TABLE V: Measured and expeced asymmeries as a funcion of M. UIUC Nohing - CDF Run II Preliminary L = 8.7 f - CDF Run II Preliminary L = 8.7 f ) Evens/(8 GeV/c Bkg Su Daa (. f ) Exclude By CMS Gaussian WW+WZ (a) A FB 0.5 l+jes Daa NLO (QCD + EW) + Bkg A FB 0.5 l+jes Daa - α M = (8.9 ±.6) 0 NLO (QCD + EW) + Bkg 0. - = α M GeV/c M GeV/c M M jj [GeV/c ] FIG. 8: Alernaive inning of A FB as a funcion of M (lef) and he same disriuion wih a es-fi line superimposed (righ). OR FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

12 Model Independen Search New Physics a (oo?) High Energy FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

13 Model Independen Search New Physics a (oo?) High Energy u~ u z u u~ Offshell M Z 0 pŝ FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

14 Model Independen Search New Physics a (oo?) High Energy u~ u u~ u~ z u u~ u u Offshell M Z 0 pŝ Effecive Verex FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

15 Model Independen Search New Physics a (oo?) High Energy u~ u u~ u~ z u u~ u u Offshell M Z 0 pŝ Effecive Verex L = L SM + L 6 + L FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

16 Model Independen Search New Physics a (oo?) High Energy u~ u u~ u~ z u u~ u u Offshell M Z 0 pŝ Effecive Verex L = L SM + L 6 + L FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

17 C. Degrande FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

18 A Famous Example: Fermi Theory The muon decay can (and was) e descried y a Dimension 6 operaor vm~ mu+ w+ ve e+ FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

19 A Famous Example: Fermi Theory The muon decay can (and was) e descried y a mu+ Dimension 6 operaor vm~ w+ ve e+ G F p ( l µ ( 5)l) l µ ( 5) l Dimension 6: G F p = c F F FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

20 A Famous Example: Fermi Theory The muon decay can (and was) e descried y a mu+ Dimension 6 operaor vm~ w+ ve e+ G F p ( l µ ( 5)l) l µ ( 5) l Dimension 6: G F p = c F F This corresponds o he firs erm of he propagaor Taylor expansion FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

21 A Famous Example: Fermi Theory The muon decay can (and was) e descried y a mu+ Dimension 6 operaor vm~ w+ ve e+ G F p ( l µ ( 5)l) l µ ( 5) l Dimension 6: G F p = c F F This corresponds o he firs erm of he propagaor Taylor expansion p MW = p MW MW Dimension FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

22 Effecive Field Theory L = L SM + X c i O i FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

23 Effecive Field Theory L = L SM + X c i O i Type Name Dimension Bosons H,G,W,B Fermion L, Q, l R,u R,d R / Covarian derivaive Srengh ensor D µ F µ FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

24 Effecive Field Theory L = L SM + X c i O i The numer of possile Operaors are huge 59 Dimension 6 Operaors If O = LHLH FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

25 Effecive Field Theory L = L SM + X c i O i The numer of possile Operaors are huge 59 Dimension 6 Operaors If O = LHLH FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

26 Effecive Field Theory L = L SM + X c i O i FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

27 Effecive Field Theory L = L SM + X c i O i Only few Operaors for one process and differen effecs FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

28 Effecive Field Theory L = L SM + X c i O i Only few Operaors for one process and differen effecs Uniary Saisfied a low Energy FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

29 Effecive Field Theory L = L SM + X c i O i Only few Operaors for one process and differen effecs Uniary Saisfied a low Energy More han one verex in an operaor FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

30 Effecive Field Theory L = L SM + X c i O i Only few Operaors for one process and differen effecs w- Uniary Saisfied a low Energy z z diagram 7 w- More han one verex in an operaor z w- w+ NP=, QCD=0, QED= z z z diagram 8 w- w- w- w+ NP=0, QCD=0, QED= No Addiional couplings z w+ z w+ diagram NP=, QCD=0, QED= diagram NP=0, QCD=0, QED= FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

31 Effecive Field Theory L = L SM + X c i O i Only few Operaors for one process and differen effecs Uniary Saisfied a low Energy More han one verex in an operaor Descripion valid a NLO (Loop and radiaion) FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

32 Forward-Backward Asymmery FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

33 Forward-Backward Asymmery p p A FB σ (cos θ > 0) σ (cos θ < 0) σ (cos θ > 0) + σ (cos θ < 0) FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

34 Forward-Backward Asymmery p p A FB σ (cos θ > 0) σ (cos θ < 0) σ (cos θ > 0) + σ (cos θ < 0) A SM FB =0.066 ± FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

35 Forward-Backward Asymmery p p A FB σ (cos θ > 0) σ (cos θ < 0) σ (cos θ > 0) + σ (cos θ < 0) A FB 0.5 l+jes Daa NLO (QCD + EW) + Bkg - CDF Run II Preliminary L = 8.7 f GeV/c M A FB 0.5 l+jes Daa - α M = (8.9 ±.6) 0 NLO (QCD + EW) + Bkg 0. - = α M - CDF Run II Preliminary L = 8.7 f A SM FB =0.066 ± FIG. 8: Alernaive inning of A FB as a funcion of M (lef) and he same disriuion wih a es-fi line superimposed (righ). FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

36 Forward-Backward Asymmery p p A FB σ (cos θ > 0) σ (cos θ < 0) σ (cos θ > 0) + σ (cos θ < 0) A FB 0.5 l+jes Daa NLO (QCD + EW) + Bkg - CDF Run II Preliminary L = 8.7 f A FB A os FB =0.6 ± l+jes Daa α M = (8.9 ±.6) 0 NLO (QCD + EW) + Bkg 0. - =. 0 α M - CDF Run II Preliminary L = 8.7 f A SM FB =0.066 ± Sigma GeV/c M FIG. 8: Alernaive inning of A FB as a funcion of M (lef) and he same disriuion wih a es-fi line superimposed (righ). FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

37 Dimension 6 operaors O hg = O Rv = O Ra = h H Q i µ L T A R Gµ A i X h i h µ R T A R q µ T A q h R q µ T A R i X q h q µ 5 T A q {i R! Q L FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

38 Dimension 6 operaors O hg = O Rv = O Ra = h H Q i µ L T A R Gµ A i X h i h µ R T A R q µ T A q h R q µ T A R i X q h q µ 5 T A q No conriuion o A FB {i R! Q L FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

39 Dimension 6 operaors O hg = O Rv = O Ra = h H Q i µ L T A R Gµ A i X h i h µ R T A R q µ T A q h R q µ T A R i X q h q µ 5 T A q No conriuion o A FB {i R! Q L A FB =0.07(c Ra c La ) { c Aa TeV FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

40 Dimension 6 operaors O hg = O Rv = O Ra = h H Q i µ L T A R Gµ A i X h i h µ R T A R q µ T A q h R q µ T A R i X q h q µ 5 T A q No conriuion o A FB {i R! Q L A FB =0.07(c Ra c La ) { c Aa TeV Bes Fi: c Aa =.0 TeV FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

41 Forward-Backward Asymmery Does i fi he disriuions? AFB SM c Aa L =.0 TeV - AFB SM c Aa L =.0 TeV Dy m in GeV Provides a correc descripion FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

42 Generaion FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

43 FR Implemenaion O WWW =Tr[W µ W W µ ] FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

44 Make an efficien generaion When sudying Operaors, we wan o sudy hose one (or wo) a he ime. Theoreician wans o provide a single model How o have an efficien generaion? FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

45 Model oo generic Soluion : Assign a specific order o each operaor generae p p > w+ w- NP=0 NP=0 NP=0 NP5=0 NP6=0 No eauiful FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

46 Model oo generic Soluion : Assign a specific order o each operaor generae p p > w+ w- NP=0 NP=0 NP=0 NP5=0 NP6=0 No eauiful Soluion I: Se he associaed coupling value o zero and keep he diagram generae p p > w+ w- No efficien and no 00% safe FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

47 Model oo generic Soluion II: Resric he model o wha you need! Pu your param_card in he model direcory wih name resric_name impor your model as MODEL-NAME Wha is his doing? Remove all ineracion wih zero coupling Opimize Model Simplify Param_card FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

48 Model oo generic Soluion II: Resric he model o wha you need! Pu your param_card in he model direcory wih name resric_name impor your model as MODEL-NAME Wha is his doing? Remove all ineracion wih zero coupling Opimize Model Simplify Param_card FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

49 Model oo generic Soluion II: Resric he model o wha you need! Pu your param_card in he model direcory wih name resric_name impor your model as MODEL-NAME Wha is his doing? Remove all ineracion wih zero coupling Opimize Model Simplify Param_card FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

50 Model oo generic Soluion II: Examples: FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

51 Example ~ > ~ QCD=0 SM ~ ~ ~ ~ a h diagram QCD=0, QED= diagram QCD=0, QED= ~ ~ ~ ~ z w- diagram QCD=0, QED= diagram QCD=0, QED= FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

52 Example ~ > ~ QCD=0 SM-no mass SM ~ ~ ~ ~ ~ ~ ~ ~ a h a z diagram QCD=0, QED= diagram QCD=0, QED= diagram QCD=0, QED= diagram QCD=0, QED= ~ ~ ~ ~ ~ ~ z w- w- diagram QCD=0, QED= diagram QCD=0, QED= diagram QCD=0, QED= FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

53 Example ~ > ~ QCD=0 SM-no mass SM resricion card: ~ ~ ~ ~ ~ ~ ~ ~ a h a z diagram QCD=0, QED= diagram QCD=0, QED= diagram QCD=0, QED= diagram QCD=0, QED= ~ ~ ~ ~ ~ ~ z w- w- diagram QCD=0, QED= diagram QCD=0, QED= diagram QCD=0, QED= FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

54 Example ~ > ~ QCD=0 SM-no mass SM resricion card: ~ ~ ~ ~ ~ ~ ~ ~ a h a z diagram QCD=0, QED= diagram QCD=0, QED= diagram QCD=0, QED= diagram QCD=0, QED= ~ ~ ~ ~ ~ ~ z w- w- diagram QCD=0, QED= diagram QCD=0, QED= diagram QCD=0, QED= FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

55 Example ~ > ~ QCD=0 SM-no mass SM resricion card: ~ ~ ~ ~ ~ ~ ~ ~ a h a z diagram QCD=0, QED= diagram QCD=0, QED= diagram QCD=0, QED= diagram QCD=0, QED= ~ ~ ~ ~ ~ ~ z w- w- diagram QCD=0, QED= diagram QCD=0, QED= diagram QCD=0, QED= FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

56 Example ~ > ~ QCD=0 SM-no mass SM resricion card: ~ ~ ~ ~ ~ ~ ~ ~ a h a z diagram QCD=0, QED= diagram QCD=0, QED= diagram QCD=0, QED= diagram QCD=0, QED= ~ ~ ~ ~ ~ ~ z w- w- diagram QCD=0, QED= diagram QCD=0, QED= diagram QCD=0, QED= FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

57 Example ~ > ~ QCD=0 SM-no mass SM Param_card: Param_card: ~ ~ ~ ~ ~ ~ ~ ~ a h a z diagram QCD=0, QED= diagram QCD=0, QED= diagram QCD=0, QED= diagram QCD=0, QED= ~ ~ ~ ~ ~ ~ z w- w- diagram QCD=0, QED= diagram QCD=0, QED= diagram QCD=0, QED= FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

58 Example ~ > ~ QCD=0 SM-no mass SM Param_card: Param_card: ~ ~ ~ ~ ~ ~ ~ ~ a h a z diagram QCD=0, QED= diagram QCD=0, QED= diagram QCD=0, QED= diagram QCD=0, QED= ~ ~ ~ ~ ~ ~ z w- w- diagram QCD=0, QED= diagram QCD=0, QED= diagram QCD=0, QED= FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

59 Model oo generic Soluion II: Examples: Quie opimal Drawacks FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

60 Model oo generic Soluion II: Examples: Quie opimal Drawacks FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

61 Model Too Generic Soluion IV: Creae your resricion card on he fligh: We Page In Developmen FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

62 Model Too Generic Soluion IV: Creae your resricion card on he fligh: Availale Now! This require some work of he model uilder FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

63 Require an addiional file in UFO: uild_resric.py UIUC iniialisaion creae caegory opions and inser value in he card No auomaic! Bu easy o wrie! Allow a lo of freedom MadGraph is here o help you! FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

64 Conclusion We have he ools o make analysis Dimension 6 operaors are simple and powerful Dimension 6 operaors can explain he daa FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

65 Order Resricion You can have up o ONE dimension six operaor y diagram M = M SM + M one + M wo Equivalen o dimension 8 operaor FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

66 Order Resricion You can have up o ONE dimension six operaor y diagram M = M SM + M one + M wo Equivalen o dimension 8 operaor FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

67 Order Resricion You can have up o ONE dimension six operaor y diagram UFO File: coupling_order M = M SM + M one + M wo Equivalen Maximal o dimension order allowed 8 operaor FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

68 Three Gauge Couplings Comparison wih Anomalous Coupling FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

69 SM Processes s~ w- s~ w- a z s w+ s w+ diagram QCD=0, QED= diagram QCD=0, QED= s~ w+ c s w- diagram QCD=0, QED= FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

70 Operaor Affecing hose processes We don consider Operaor wih quark Conserving CP O WWW =Tr[W µ W W µ ] O W =(D µ ) W µ (D ) O B =(D µ ) B µ (D ) No Conserving CP O WWW =Tr[ W µ W W µ ] O W =(D µ ) W µ (D ) FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

71 Uniariy Uniariy Bound dσ p dm ww GeV 0 c WWW 00 GeV 0 SM M ww GeV FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

72 Comparison wih Anomalous Coupling This is no Gauge Invarian No New Physics scale No Suppression : Dimension and 6 u also 8 or more if exra derivaives are added Breaking uniariy No valid loop descripion FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

73 Link eween he wo g Z = +c W m Z Λ κ γ = +(c W + c B ) m W Λ κ Z = +(c W c B an θ W ) m W Λ g m W λ γ = λ Z = c WWW Λ g V = g5 V =0 κ γ = m W c W Λ κ Z = c W an θ W m W Λ λ γ = λ Z = c WWW g m W Λ Gauge Invariance New Scale Suppression g Z = κ Z +an θ W κ γ 0= κ Z +an θ W κ γ Provide Guidance FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,

74 High mulipliciy Auomaic gauge invariance. z z > w+ w- z w- z w- w- w- z w+ z w+ No Addiional diagram 7 NP=, QCD=0, QED= diagram 8 NP=0, QCD=0, QED= couplings z w- z w- z w+ z w+ diagram NP=, QCD=0, QED= diagram NP=0, QCD=0, QED= 7 oher diagrams FR/MG School on LHC Phenomenology, Sep 0-Oc 05 0 Friday, Ocoer 5,