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Florian Goertz Florian Goertz CERN CERN DiHiggs Production and DiHiggs Production and New Physics New Physics Higgs Hunting 2015 Higgs Hunting 2015 Orsay Orsay 31.7.2015 31.7.2015

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Page 1: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Florian GoertzFlorian Goertz CERNCERN

DiHiggs Production and DiHiggs Production and New Physics New Physics

Higgs Hunting 2015Higgs Hunting 2015OrsayOrsay

31.7.201531.7.2015

Page 2: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2

New Physics (in DiHiggs)

Many hints and evidences for NP!● Gravity● Hierarchy Problem● Neutrino Masses (See Saw)● Grand Unification of Forces● Flavor Structure● Baryogenesis● Dark Matter● Trigger for Symmetry-Breaking Potential?● Strong CP Problem● Hints in Flavor/Precision Measurements?● …

How to get access to NP?

Probe our current understanding of the fundamental laws of nature ...

Page 3: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 3

New Physics (in DiHiggs)

Many hints and evidences for NP!● Gravity● Hierarchy Problem● Neutrino Masses (See Saw)● Grand Unification of Forces● Flavor Structure● Baryogenesis● Dark Matter● Trigger for Symmetry-Breaking Potential?● Strong CP Problem● Hints in Flavor/Precision Measurements?● …

Probe our current understanding of the fundamental laws of nature ...

● Many links to Higgs Sector

Page 4: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 4

The Higgs Sector... … offers a unique window to NP

Properties of the Higgs Boson? Scale of New Physics?

One of the biggest discoveries of mankind

Page 5: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 5

The Higgs PotentialVery important test of SM/NP: Higgs potentialHiggs potential self couplings

EWSB:

● Vacuum Stability● Origin of the Potential (↔ flavor)● Dark Matter● Portal● Baryogenesis● Hierarchy Problem → see later● ...

Page 6: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 6

The Higgs PotentialVery important test of SM/NP: Higgs potentialHiggs potential self couplings

SM:

● Vacuum Stability● Origin of the Potential (↔ flavor)● Dark Matter● Portal● Baryogenesis● Hierarchy Problem → see later● ...

Page 7: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 7

The Higgs Potential

established @LHC

Very important test of SM/NP: Higgs potentialHiggs potential self couplings

Page 8: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 8

The Higgs Potential

accessible in Higgs pair production

Very important test of SM/NP: Higgs potentialHiggs potential self couplings

Page 9: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 9

The Higgs Potential

Triple Higgs production: extremely challenging @(V)LHC0.06 fb @LHC14; 9.45 fb @VLHC (200 TeV)

Plehn, Rauch, hep-ph/0507321

accessible in Higgs pair production

Very important test of SM/NP: Higgs potentialHiggs potential self couplings

Page 10: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 10

Higgs-Pair Production in the SM (LO)

See e.g. Plehn, Spira, Zerwas ph/9603205

spin-0 spin-2

Eboli, Marques, Novaes, Natale, PLB 197(1987)269 Glover, van der Bij, NPB 309(1988)282de Florian, Mazzitelli, 1305.5206, 1309.6594see also Maltoni, Vryonidou, Zaro, 1408.6542

' - '

Page 11: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 11

Different Decay Channels

Baur, Plehn, Rainwater, hep-ph/0310056

Dolan, Englert, Spannowsky, 1206.5001

Papaefstathiou, Yang, Zurita, 1209.1489

Expected Significance @ 600 fb-1 (SM)

(S/B=6/12)

(S/B=57/119)

(S/B=12/8)

Butterworth, Davison, Rubin, Salam, 0802.2470

Theorists' analyses!

Page 12: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 12

The Higgs Potential

Most stringent projected constraint on alone @ LHC14 FG, Papaefstathiou, Yang, Zurita 1301.3492; 1309.3805

Baur, Plehn, Rainwater, hep-ph/0211224, hep-ph/0310056Dolan, Englert, Spannowski 1206.5001Baglio, Djouadi, Gröber, Mühlleitner, Quevillon, Spira 1212.5581

...

Page 13: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 13

New Physics in hh Production● SUSY ● Composite Higgs

● etc...

SMSMhh=0=0

elementarycomposite

CFTCFT

Gillioz, Grober, Grojean, Muhlleitner, Salvioni, 1206.7120,Contino, Grojean, Moretti, Piccinini, Rattazzi, 1002.1011,Grober, Muhlleitner, 1012.1562,Contino, Ghezzi, Moretti, Panico, Piccinini, Wulzer, 1205.5444, ...

...

Plehn, Spira, Zerwas, ph/9603205,Djouadi, Kilian, Muhlleitner, Zerwas, ph/9904287, Lafaye, Miller, Muhlleitner, Moretti, ph/0002238,Cao, Heng, Shang, Wan, Yang, 1301.6437, ...

Page 14: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 14

'Model Independent' Approach to NP● If NP resides at high scale E>>MEW , can be described by operators with , independently of the concrete theory that completes the SM!

c.f. Fermi Theory

MEW

NP

SM

local operators built of SM field content, respecting gauge symmetries= New Physics

Weinberg, Wilson, Callen, Coleman, Wess, Zumino, ...

Page 15: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 15

Physics Beyond the SM

MEW

● If NP resides at high scale E>>MEW , can be described by operators with , independently of the concrete theory that completes the SM!

A lot of room for new physics!

Effects scale like → suppressed by mass scale

of heavy new physics[leading effects: D=6, D=8 further suppressed]

SM as IR limit, expected to work perfectly well at low E - new fundamental theory takes over at large E

Page 16: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 16

● Full set of non-redundant operators (i.e., basis): 59 D=6 operators (2499 including full flavor structure)

Buchmuller, Wyler, NPB 268(1986)621–653Grzadkowski, Iskrzynski, Misiak, Rosiek, 1008.4884Alonso, Jenkins, Manohar, Trott, 1312.2014

EFT Approach to New Physics

[assuming B&L conservation]

● Constrain coefficients of these operators[One way to go, given the lack of evidence in favor of concrete models]

For non-linear realization, see Grinstein, Trott 0704.1505 Contino, Grojean, Moretti, Piccinini, Rattazzi 1002.1011

Page 17: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 17

Higgs Boson EFT● Neglecting operators strongly constrained from precision tests

See e.g.: Elias-Miro, Espinosa, Masso, Pomarol, 1308.1879; Pomarol, Riva, 1308.2803; Corbett, Eboli, Gonzalez-Fraile, Gonzalez-Garcia 1207.1344, 1211.4580, 1304.1151; Falkowski, Riva, Urbano, 1303.1812; Contino, Ghezzi, Grojean, Muhlleitner, Spira, 1303.3876; Dumont, Fichet, von Gersdorff 1304.3369; Trott 1409.7605; Falkowski, Riva, 1411.0669; Corbett, Eboli, Goncalves, Gonzalez-Fraile, Plehn, Rauch 1505.05516; HXSWG; ...

Page 18: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 18

Higgs Boson EFT● Neglecting operators strongly constrained from precision tests

Pure HiggsYukawa type

See e.g.: Elias-Miro, Espinosa, Masso, Pomarol, 1308.1879; Pomarol, Riva, 1308.2803; Corbett, Eboli, Gonzalez-Fraile, Gonzalez-Garcia 1207.1344, 1211.4580, 1304.1151; Falkowski, Riva, Urbano, 1303.1812; Contino, Ghezzi, Grojean, Muhlleitner, Spira, 1303.3876; Dumont, Fichet, von Gersdorff 1304.3369; Trott 1409.7605; Falkowski, Riva, 1411.0669; Corbett, Eboli, Goncalves, Gonzalez-Fraile, Plehn, Rauch 1505.05516; HXSWG; ...

Page 19: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 19

Higgs Boson EFT● Neglecting operators strongly constrained from precision tests

Basically unconstrainable from single-Higgs physics:→ enters Higgs potential self couplings

See e.g.: Elias-Miro, Espinosa, Masso, Pomarol, 1308.1879; Pomarol, Riva, 1308.2803; Corbett, Eboli, Gonzalez-Fraile, Gonzalez-Garcia 1207.1344, 1211.4580, 1304.1151; Falkowski, Riva, Urbano, 1303.1812; Contino, Ghezzi, Grojean, Muhlleitner, Spira, 1303.3876; Dumont, Fichet, von Gersdorff 1304.3369; Trott 1409.7605; Falkowski, Riva, 1411.0669; Corbett, Eboli, Goncalves, Gonzalez-Fraile, Plehn, Rauch 1505.05516; HXSWG; ...

Page 20: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 20

The Higgs Potential enters Higgs potential self couplings

Page 21: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 21

The Higgs Potential enters Higgs potential self couplings

Page 22: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 22

The Higgs Potential

Challenge: Many more operators contribute to gg→hh

accessible in Higgs pair production:

Page 23: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 23

gg → hh in D=6 EFT

Pure HiggsYukawa type

gg → hh new diagrams

Page 24: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 24

gg → hh Cross Section in D=6 EFT

Implemented in MC generator Herwig++Normalize to NNLO: de Florian, Mazzitelli, 1309.6594

FG, Papaefstathiou, Yang, Zurita, 1410.3471

see also Azatov, Contino, Panico, Son, 1502.00539 NLO: Gröber, Mühlleitner, Spira, Streicher, 1504.06577

Page 25: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 25

Higgs Decays in D=6 EFT

Loop + 1/ suppressed wrt SM

Bold coefficients included in FG, Papaefstathiou, Yang, Zurita, 1410.3471 Don't include suppressed (loop) operators in loop topologies

...

6 Parameters:Unique accessibility in hh production! @LHC14

Focus on

Page 26: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 26

→hh Cross Section in EFTgg

MSTW2008nlo_nf4 PDF● Effect of varying individual Wilson coefficients● Dashed: parameter-range excluded from current h data at the LHC

→ used HiggsBounds, HiggsSignals on cross sections calculated via eHDECAY

Bechtle et.al., 1311.0055, 1305.1933

FG, Papaefstathiou, Yang, Zurita, 1410.3471

Page 27: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 27

MC generator important for analysis → describe distributions, which determine efficiencies

→hh after cutsggEfficiency

ci=0.5

FG, Papaefstathiou, Yang, Zurita, 1410.3471

Page 28: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 28

MC generator important for analysis → describe distributions, which determine efficiencies

→hh after cutsggEfficiency Cross Section

FG, Papaefstathiou, Yang, Zurita, 1410.3471

Page 29: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 29

Expected Constraints after full analysis: ct-c6

● Clear correlation visible: Enhanced hh cross section due to negative ct can be compensated by reduction due to positive c

● Consider● Marginalize over other

directions within projected ranges

Page 30: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 30

● Precise knowledge on ‘top Yukawa’ ct helpful to improve the range for c6 ● On the other hand, could also obtain meaningful information on ct in hh

Expected Constraints after full analysis: ct-c6

Page 31: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 31

● Precise knowledge on ‘top Yukawa’ ct helpful to improve the range for c6 ● On the other hand, could also obtain meaningful information on ct in hh

Expected Constraints after full analysis: ct-c6

Page 32: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 32

● Precise knowledge on ‘top Yukawa’ ct helpful to improve the range for c6 ● On the other hand, could also obtain meaningful information on ct in hh

Expected Constraints after full analysis: ct-c6

hh

tth

Azatov, Contino, Panico, Son, 1502.00539

Page 33: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 33

Expected Constraints after full analysis

● In general significant correlationsSee also Azatov, Contino, Panico, Son, 1502.00539

Page 34: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 34

Final ResultsExpected 1 constraints at the 14 TeV LHC, assuming fth = 30%

● Use real p-values from current single Higgs measurements in marginalization:

FG, Papaefstathiou, Yang, Zurita, 1410.3471

See also Azatov, Contino, Panico, Son, 1502.00539 (bb)

Page 35: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 35

Presence of 2

● : only relevant operator in SM● Origin of hierarchy problem● Have so far not tested if actually there!

Page 36: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 36

Presence of 2

● : only relevant operator in SM● Origin of hierarchy problem● Have so far not tested if actually there!

● Fully replace term by D=6 operator● <0, EWSB not triggered by negative 2 term● 2=0 really possible by adding D=6 op. in consistent EFT ??

FG, 1504.00355

Page 37: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 37

Presence of 2

● Yes, due to the lightness of the Higgs Boson

SM one-loop CW → small correction: FG, 1504.00355

FG, 1504.00355

Limits from EWPT → see Grojean, Servant, Wells, hep-ph/0407019

appropriate 1st order PT possible

Page 38: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 38

less SM testable at LHC

● Use real p-values from current single Higgs measurements in marginalization:

conventions of GPYZ, 1410.3471 incl. CW shift

14TeV LHC, 1

Page 39: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 39

Enhance Sensitivity: Consider Distributions

● Optimize Analysis to Kinematical Properties Dall'Osso, Dorigo, FG, Gottardo, Oliveira, Tosi, , 1507.02245

● Cluster parameter space wrt expected distributions

Page 40: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 40

Enhance Sensitivity: Consider Distributions

Page 41: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 41

The Higgs discovery is not the end, it is just the beginning.

● Higgs sector still contains many mysteries ● Analysis of hh production → unique insight on structure of (D=6) extension of SM!

Conclusions

Page 42: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 42

Backup

Page 43: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 43

Backup: The Higgs Potential enters after canonical normalization of kinetics

removes also momentum-dependent interactions

Page 44: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 44

Backup: → hhggEWSB → Relevant Terms:

Page 45: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 45

Backup: HH Production: MCHM5

● Important contribution:

Gillioz, Grober, Grojean, Muhlleitner, Salvioni, 1206.7120See also Contino, Ghezzi, Moretti, Panico, Piccinini, Wulzer, 1205.5444

Page 46: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 46

Backup: Explicit Analysis● Focus on

Dolan, Englert, Spannowsky, 1206.5001Baglio, Djouadi, Grober, Muhlleitner, Quevillon; 1212.5581Barr, Dolan, Englert, Spannowsky,, 1309.6318 Maierhoefer, Papaefstathiou, 1401.0007

@LHC14

Baur, Plehn, Rainwater, hep-ph/0310056

Dolan, Englert, Spannowsky, 1206.5001

Papaefstathiou, Yang, Zurita, 1209.1489

Significance @ 600 fb-1 (SM)(S/B=6/12)

(S/B=57/119)

(S/B=12/8)

Butterworth, Davison, Rubin, Salam, 0802.2470

Theorists' analyses!

Page 47: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 47

Backup: Analysis

● Main backgrounds:

Cuts:

see: Dolan, Englert, Spannowsky, 1206.5001;Maierhoefer, Papaefstathiou, 1401.0007

btagging efficiencies: 70 %

Butterworth, Davison, Rubin, Salam, 0802.2470

Generated with aMC@NLO (+ HERWIG++)

Frixione et. al.,, 1010.0568Frederix et. al., 1104.5613Alwall et. al., 1405.0301

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Higgs Hunting 2015 - 31.7.2015 Florian Goertz 48

Backup: Analysis● Start with model where only (unconstrained from single h)

Vary only as in previous studies)

30% ~ 10% (scale) + 10% (pdf s) + 10% (mt )

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Higgs Hunting 2015 - 31.7.2015 Florian Goertz 49

● Expected constraint on c6, assuming the SM to be true (c6=0):

● Start with model where only (unconstrained from single h)

Vary only as in previous studies)

Backup: Analysis

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Higgs Hunting 2015 - 31.7.2015 Florian Goertz 50

region more challenging as cross section reduced → larger uncertainty

Backup: Analysis

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Higgs Hunting 2015 - 31.7.2015 Florian Goertz 51

Backup: Full D=6 Theory● Again assume SM (ci=0) and calculate distance of predicted from in units of

● Show results in 2D grids (c6, ci), i=H,g,,t,b

● Marginalize over other directions with a Gaussian weight, ● given by projected errors on the coefficients from single h

(~10% @ (600-3000) fb-1) in the future use real constraints (like p-values from HiggsBounds/Signals)

● Draw iso-contours corresponding to probability-drop of 1

Page 52: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 52

Backup: cg-c6

● Again compensation of effects from different operators possible → range for c6 depends significantly on other coefficients

Page 53: DiHiggs Production and New Physics - LAL Events Directory ......Higgs Hunting 2015 - 31.7.2015 Florian Goertz 2 New Physics (in DiHiggs) Many hints and evidences for NP! Gravity Hierarchy

Higgs Hunting 2015 - 31.7.2015 Florian Goertz 53

Backup: c-c6

● As expected: negligible dependence on c

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Backup: (cb=c)-c6

● Reduced BR due (cb=c)<0 to can be compensated by enhanced production cross section due to negative c6 and vice versa

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Backup: cH-c6

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Backup: cH-c6

● Marginalize over other directions with currentcurrent p-values for coefficients from single-h measurements (using HiggsBounds/Signals)

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Backup: cH-c6

● Precise knowledge of other Wilson coefficients necessary for reasonable bounds on c6

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Backup: Full Marginalization c→ 6

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Backup: hh @LHC● Other production channels

~10-30 times smaller (neglect in the following)

See [e.g.] Baglio, Djouadi, Grober, Muhlleitner, Quevillon, Spira, 1212.5581, and refs. therein

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LHC@14TeV mh ~125 GeV

Theoretical error (NNLO): fth ~ 10% (scale) + 10% (pdf s) + 10% (mt )

Backup: hh @ LHC

-1

● Most important mechanism:

Eboli, Marques, Novaes, Natale, PLB 197(1987)269 Glover, van der Bij, NPB 309(1988)282Dawson, Dittmaier, Spira, PRD 58(1998)115012Grigo, Hoff, Melnikov, Steinhauser, 1305.7340de Florian, Mazzitelli, 1305.5206, 1309.6594see also Maltoni, Vryonidou, Zaro, 1408.6542

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Backup: hh @ LHC● Most important mechanism:

SM: destructive Interf.

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Backup: Hbounds/Signals Ranges

assuming gaussian distributions

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Backup: Parameter-Space Scan● Show results in 2D grids (c6, ci), i=H,g,,t,b● Marginalize over other directions, varying the coefficients in the 95% CL allowed regions, obtained from HiggsBounds/Signals

● Draw iso-contours corresponding to probability-drop of 1

Projections: (~10% effects)

(with a Gaussian weight)

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Backups: Couplings, Benchmarks, Test Statistics

1