1-loop effects of MSSM particles in Higgs productions at the ILC

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Kiyoshi Kato C, and Masaaki Kuroda D, Siki Univ.

1 1-loop ffcts of MSSM particls in Higgs productions at th ILC Yusaku Kouda, Tadashi Kon, Masato Jimbo A, Yoshimasa Kurihara B, Tadashi Ishikawa B, Kiyoshi Kato C, and Masaaki Kuroda D, Siki Univ., Chiba Univrsity of Commrc A, KEK B, Kogakuin Univ. C, Mijigakuin Univ. D CPP Octobr 2016 in Hayama 1

2 outlin OUTLINE Introduction(What) How(GRACE/SUSY) Rsults Summary 2

3 Introduction 3

4 SUSY indirct dtction in Higgs production at th ILC Zh production W fusion 4

5 SUSY indirct dtction in Higgs production at th ILC Zh production W fusion Is th 1-loop ffct of virtual MSSM particls statistically significant? 5

6 SUSY indirct dtction in Higgs production at th ILC Tr lvl total cross sction ννh ν ν Zh Zh ννh (sum of 3 gnration) h(w fusion) 6

7 SUSY indirct dtction in Higgs production at th ILC Tr lvl total cross sction ννh ν ν Zh Zh ννh (sum of 3 gnration) h(w fusion) Th cross sction of Zh is larg at low nrgy rgion 7

8 SUSY indirct dtction in Higgs production at th ILC Tr lvl total cross sction ννh (sum of 3 gnration) ν ν h(w fusion) Zh Zh ννh Th cross sction of Zh is larg at low nrgy rgion ννh Th cross sction of is larg at high nrgy rgion 8

9 SUSY indirct dtction in Higgs production at th ILC Tr lvl total cross sction ννh (sum of 3 gnration) ν ν h(w fusion) Zh Zh ννh Th cross sction of Zh is larg at low nrgy rgion ννh Th cross sction of is larg at high nrgy rgion Th accurat masurmnt of SM Higgs is xpctd 9

10 SUSY indirct dtction in Higgs production at th ILC Tr lvl total cross sction ννh (sum of 3 gnration) ν ν h(w fusion) Zh Zh ννh Th cross sction of Zh is larg at low nrgy rgion Th accurat masurmnt of SM Higgs is xpctd ννh Th cross sction of is larg at high nrgy rgion At th sam tim, W want to focus on th ffct of MSSM 10

11 Slction of sts (Zh) w hav takn into account Higgs mass B physics constraint muon g-2 constraint (m h (xp)= ± 0.24 GV) (b sγ,b s μμ) DM thrmal rlic dnsity (Planck data of Ωh 2 ) LHC dirct sarch of sparticls Th DM abundanc is xplaind by Co-annihilation of stau and LSP Th DM abundanc is xplaind by Co-annihilation of stop and LSP light stop 300GV st1 st 2 st 3 a havy stop 1000GV inconsistnt with muon g-2 (LSP is too havy) 10 xp a SM μ μ 10 SuSpct2 (A.Djouadi, J.Knur and G.Moultaka) micromegas (G. Blangr, F. Boudjma, A. Pukhov, A. Smnov) arxiv: [hp-ph] Y. Kouda, T. Kon, Y. Kurihara, T. Ishikawa,M. Jimbo, K. Kato and M. Kuroda

12 Slction of sts (W fusion) Signal SM higgs + missing ννh W hav slctd th st nutralino pair is not producd. ( ~ χ GV) W pay attntion to th cas only th ffcts of virtual MSSM particls ar statistical significant MSSM ~ χ 0 1 ~ χ 0 1 h (This study dos not focus on this)

13 th st (W fusion) Higgs (consistnt with th obsrvd mass) ElctroWak particls (Only ths contribution don t xplain muon g-2) QCD particls 13

14 How(GRACE/SUSY) (bfor and aftr th discovry of Higgs) 14

15 GRACE/SUSY Th systm that can automatically calculat cross sctions or dcay widths in SM and MSSM *GRACE/SUSY Comput.Phys.Commun.153: ,2003 *GRACE/SUSY-loop Phys.Rv.D75:113002, Fynman diagrams 2. Physical amplituds 3. Phas spac Intgration 4. Evnt gnration 5. Various Slf-chcks [tr vrsion (opnd to public)] download : [1-loop vrsion(unopnd to public)] W can chck th validity of numrical calculation 15

GRACE (bfor th discovry of higgs) SM full 1-loop corrction of ννh hav calculatd with using GRACE in 2003 G. Bélangr, F. Boudjma, J. Fujimoto, T. Ishikawa, T. Kanko, K. Kato, Y.

16 GRACE (bfor th discovry of higgs) SM full 1-loop corrction of ννh hav calculatd with using GRACE in 2003 G. Bélangr, F. Boudjma, J. Fujimoto, T. Ishikawa, T. Kanko, K. Kato, Y. Shimizu, Physics Lttrs B 559 (2003) Dnnr t al., NPB660(2003)289 Bfor th discovry of Higgs, GRACE hav bn usd with Higgs mass as a fr paramtr. Higgs mass was final fr paramtr in SM. 16

17 GRACE (aftr th discovry of Higgs) Aftr th discovry of Higgs, GRACE is usd with Higgs mass as a fixd paramtr for th sarch of MSSM that hav many fr paramtrs. For xampl, in this way, stp1, w can gnrat all diagrams. ν ν h full 1-loop MSSM diagrams 13793diagrams stp 2, w can slct diagrams. By slcting diagrams that WW fusion in intrnal lin, thy ar rducd to 239 diagrams stp 3, w can chck whthr a rnormalization works wll. w hav confirmd(slf- chck) th canclation of ultraviolt or infrard divrgnc and indpndnc on th cut off nrgy btwn hard and soft photon stp 4, actual calculations 17

18 Rsults (ZH,W fusion) 18

19 Angular distribution(1-loop lvl) θ is th Z gnration angl. Th 1-loop corrction for th tr lvl is ngativ. Th corrction of MSSM for SM is positiv. Zh st 1 st 2 st 3

bar t al, Th Intrnational Linar Collidr Tchnical Dsign Rport - Volum 2: Physics (2013) SUSY dsusy1 loop

20 MSSM 1-loop ffct W hav dfind th corrction ratio δ W hav compard with th statistical rror (assumd th luminosity that pland in th ILC). H.bar t al, Th Intrnational Linar Collidr Tchnical Dsign Rport - Volum 2: Physics (2013) SUSY dsusy1 loop dsm dcos dcos dtr dcos Th 1-loop ffct is 11% in th ntir rgion. Th 1-loop ffct for SM is largr than th rror. Th diffrnc among sts is largr than th rror. (%) Ldt 250fb 1 st 1 st 2 st 3

21 Enrgy distribution (1-loop lvl) dσ/deh (fb/gv) 1-loop corrction for th tr lvl is ngativ. MSSM corrction for SM is positiv. Th corrction of SM total cross sction for th tr lvl is -37%. Th corrction of MSSM total cross sction for th tr lvl is -19%. higgs nrgy distribution tr SM MSSM s 500 GV ν ν prliminary h Eh (GV) 21

22 MSSM 1-loop ffct δsusy(%) W hav dfind th corrction ratio δ. W hav compaird with Mont Carlo intgration rror. Th corrction ratio is 15% in th ntir rgion. Th 1 loop ffct is largr than th rror. δ SUSY dσ SUSY1loop deh dσ de tr h dσ de SM h prliminary s 500(GV) Eh (GV) 22

23 summary 23

summary W slct sts that consistnt with Higgs mass, B physics, DM rlic dnsity, LHC dirct sarch of sparticls, and muon g-2(in Zh) W hav probd statistical significanc at th ILC.

24 summary W slct sts that consistnt with Higgs mass, B physics, DM rlic dnsity, LHC dirct sarch of sparticls, and muon g-2(in Zh) W hav probd statistical significanc at th ILC. In W fusion calculation, W hav considrd a st nutralino is not producd, and invstigat whthr only on loop ffct is statistically significant. conclusion GRACE/SUSY is vry Usful for th sarch of MSSM particls!! 24

25 back up 25

26 intraction ratio(mssm/sm) tanβ ma=100gv ma=1000gv Th part compard in th δsusy cancld ach othr, bcaus thy 26 ar common in SM and MSSM

27 Classification of sts Sfrmion co-annihilation scnario in Bino Dark Mattr Stop that consistnt with Higgs mass micromegas (G. Blangr, F. Boudjma, A. Pukhov, A. Smnov) havy stop light stop SuSpct2 (A.Djouadi, J.Knur and G.Moultaka) 27

28 Sllction of sts (Zh) w tak into account Higgs mass (m h (xp)= ± 0.24 GV) B physics constraint (b sγ,b s μμ) Muon g-2 constraint a xp aμ SM DM thrmal rlic dnsity (Planck data of Ωh 2 ) LHC dirct sarch of sparticls 10 μ 10 Our sts hav almost pur Bino DM (No mix with Higgsino or Wino) Thn, th stop1 or th stau1 mass ar constraind (sfrmion co-annihilation scnario) ~ 0 χ1 ~ τ1 γ G. Bélangr LAPTH-Anncy τ τ Th DM abundanc is xplaind by Co-annihilation of stau and LSP Th DM abundanc is xplaind by Co-annihilation of stop and LSP light stop 300GV st1 st 2 st 3 havy stop 1000GV inconsistnt with muon g-2 (LSP is too havy)

Electroweak Correction for the Study of Higgs Potential in LC

Electroweak Correction for the Study of Higgs Potential in LC Elctrowak Corrction for th Study of Higgs Potntial in LC LAPTH-Minamitatya Collaboration LCS05 005.3.19, Stanford U. prsntd by K.Kato(Kogakuin U.) Introduction LC: high-prcision xprimnts Rquirs th sam