QCD & High Energy Interactions, March 23-39, 2019

LHC constraints on extended SUSY

54th Rencontres de Moriond

Sabine Kraml LPSC Grenoble

Motivation — in a nutshell

• Most SUSY searches at the LHC have the MSSM as their paradigm; analyses are optimised for (simplified) MSSM scenarios.

• Non-minimal realisations of SUSY can have quite distinct phenomenological features; may even escape current searches.

• The MSSM has Majorana gauginos; a theoretically very appealing extension is to introduce instead Dirac gauginos.

Sabine Kraml

- linked to N=2 supersymmetry- softer UV behaviour (“super-softness”)- preserve R-symmetry, simpler SUSY breaking- natural scenario for neutralino dark matter - tree-level boost to Higgs mass - ….

�2

For a concise, yet comprehensive overview, see the “Dirac gaugino user manual” by K. Benakli, arXiv:1106.1649

SUSY with Dirac gauginos (DG)

Add chiral multiplets in adjoint representation of the corresponding gauge groups: S … U(1) singlet, T … SU(2) triplet, O … SU(3) octet.

Superpotential:

Light Higgs mass (tree level):

Can achieve mh = 125 GeV without excessive loop corrections (no need for multi-TeV stops)

�3Sabine Kraml

Fayet, 1978 Polchinski, Susskind, 1982

Hall, Randall, 1991

renewed interest ~2000 onwards

Majorana mass: L � �1

2Mi�i�i + h.c.

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Dirac mass: one Weyl fermion Weyl fermion + adjoint chiral fermion

m2h ' M2

Z cos2 2� +v2

2(�2

S + �2T ) sin

2 2�<latexit sha1_base64="mgYO9KHvkpaJlZA6g/eCjkZYvUE=">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</latexit><latexit sha1_base64="mgYO9KHvkpaJlZA6g/eCjkZYvUE=">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</latexit><latexit sha1_base64="mgYO9KHvkpaJlZA6g/eCjkZYvUE=">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</latexit><latexit sha1_base64="mgYO9KHvkpaJlZA6g/eCjkZYvUE=">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</latexit>

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L � �miD�i�i + h.c.<latexit sha1_base64="u9P9o9lLLmZqX1KakwdYagUABRw=">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</latexit><latexit sha1_base64="u9P9o9lLLmZqX1KakwdYagUABRw=">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</latexit><latexit sha1_base64="u9P9o9lLLmZqX1KakwdYagUABRw=">AAACJnicbVDNS8MwHE3n15xfU49egkMQxNKK4C7CQA8ePExwH7COkqbZGpakJUmFUfrXePFf8eJhIuLNP8V020E3HwQe7/d+Sd4LEkaVdpwvq7Syura+Ud6sbG3v7O5V9w/aKk4lJi0cs1h2A6QIo4K0NNWMdBNJEA8Y6QSjm2LeeSJS0Vg86nFC+hwNBR1QjLSR/Oq1F8Qs5EhHMPMwYvA+91SaKKLhOfczept7OKI+9Zi5M0Q+hWfGKDmMbGznfrXm2M4UcJm4c1IDczT96sQLY5xyIjRmSKme6yS6nyGpKWYkr3ipIgnCIzQkPUMF4kT1s2nMHJ4YJYSDWJojNJyqvzcyxJUa88A4i0BqcVaI/816qR7U+xkVSaqJwLOHBimDOoZFZzCkkmDNxoYgLKn5K8QRkghr02zFlOAuRl4m7QvbdWz34bLWqM/rKIMjcAxOgQuuQAPcgSZoAQyewSuYgHfrxXqzPqzPmbVkzXcOwR9Y3z+7nqU6</latexit><latexit sha1_base64="u9P9o9lLLmZqX1KakwdYagUABRw=">AAACJnicbVDNS8MwHE3n15xfU49egkMQxNKK4C7CQA8ePExwH7COkqbZGpakJUmFUfrXePFf8eJhIuLNP8V020E3HwQe7/d+Sd4LEkaVdpwvq7Syura+Ud6sbG3v7O5V9w/aKk4lJi0cs1h2A6QIo4K0NNWMdBNJEA8Y6QSjm2LeeSJS0Vg86nFC+hwNBR1QjLSR/Oq1F8Qs5EhHMPMwYvA+91SaKKLhOfczept7OKI+9Zi5M0Q+hWfGKDmMbGznfrXm2M4UcJm4c1IDczT96sQLY5xyIjRmSKme6yS6nyGpKWYkr3ipIgnCIzQkPUMF4kT1s2nMHJ4YJYSDWJojNJyqvzcyxJUa88A4i0BqcVaI/816qR7U+xkVSaqJwLOHBimDOoZFZzCkkmDNxoYgLKn5K8QRkghr02zFlOAuRl4m7QvbdWz34bLWqM/rKIMjcAxOgQuuQAPcgSZoAQyewSuYgHfrxXqzPqzPmbVkzXcOwR9Y3z+7nqU6</latexit>

(also new soft terms involving the adjoints)

Benakli, Goodsell, Staub, 1211.0552E. Bertuzzo et al., 1402.5432

Field content

�4Sabine Kraml

Names Spin 0 Spin 1/2 Spin 1 SU(3), SU(2), U(1)Y

Quarks Q Q = (uL, dL) (uL, dL) (3, 2, 1/6)uc uc

L ucL (3, 1, -2/3)

(⇥3 families) dc dcL ucL (3, 1, 1/3)

Leptons L (⌫eL,eL) (⌫eL, eL) (1, 2, -1/2)(⇥3 families) ec ecL ecL (1, 1, 1)

Higgs Hu (H+u , H0

u) (H+u , H0

u) (1, 2, 1/2)Hd (H0

d , H�d ) (H0

d , H�d ) (1, 2, -1/2)

Gluons W3↵ �3↵ g (8, 1, 0)[⌘ g↵]

W W2↵ �2↵ W±,W 0(1, 3, 0)

[⌘ W±, W 0]

B W1↵ �1↵ B (1, 1, 0 )

[⌘ B]

DG-octet Og Og �g (8, 1, 0)[⌘ ⌃g] [⌘ g0]

DG-triplet T {T 0, T±} {�0T ,�

±T } (1,3, 0 )

[⌘ {⌃W0 ,⌃±

W }] [⌘ {W 0±, W 00}]

DG-singlet S S �S (1, 1, 0 )

[⌘ ⌃B ] [⌘ B0]

<latexit 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MSS

Mne

w

Consequences for phenomenology?

Sgluons

• DG model contains a complex color-octet scalar; splits into two non-degenerate real components (a scalar and a pseudoscalar) after SUSY breaking.

• The scalar is generally heavier and decays both into quarks and gluons … in principle also into pairs of gluinos or squarks → spectacular signatures, e.g. 8 jets + 4 LSPs

• The pseudoscalar state is generally lighter and decays into a pair of quarks; here top-antitop channel dominatesExpectations: - large pair-production cross section- golden channel: 4 top signature

�6Sabine Kraml

O

O

t

t

t

t

g

g

see Choi et al, 0812.3586

Darmé, Fuks, Goodsell, 1805.10835

nb these are RP even

Sgluons — LHC limits

• Recast of CMS 4-top analysis for 36 fb-1 at 13 TeV (CMS-TOP-17-009) allows to exclude pseudoscalar sgluons < 1 TeV

• Sensitivity might be improved considering differences in event kinematics w.r.t. SM

�7Sabine Kraml

L. Darmé, B. Fuks, M. Goodsell arXiv:1805.10835

800 900 1000 1100 1200

0.00

0.01

0.02

0.03

0.04

0.05 Observed

Expected

200 400 600 800 1000 1200 1400 1600HT (GeV)

0

1

2

3

4

5

6

7

Eve

nts/

bin

LHC13 - 35.9 fb�1mO = 1 TeV

mO = 1.2 TeV

Bkd and SM tttt

2 4 6 8 10 12Njets

0

2

4

6

8

10

12

Eve

nts/

bin

LHC13 - 35.9 fb�1 mO = 1 TeV

mO = 1.2 TeV

Bkd and SM tttt

CMS analysis now available for full Run 2 datasee talk by Willem Verbeke on Sunday

• Squark production: t-channel gluino exchange or s-channel gluon exchange.Absence of chirality flip in t-channel gluino exchange leads to strongly suppressed squark production cross sections w.r.t. MSSM

• Gluino-squark production: qg initiated; t-channel gluino or squark exchange, or s-channel quark exchange. Cross sections same as in the MSSM.

Gluino and squark production at the LHC

• Gluino production: t-channel gluino or squark exchange, s-channel gluon exchange. Cross section of Dirac gluinos is enhanced as compared to Majorana gluinos (by a factor of 2) because of their larger number of degrees of freedom.

�8Sabine Kraml

Heikinheimo, Kellerstein, Sanz, 1111.4322 Kribs, Martin, 1203.4821

NB (very) heavy Dirac gluinos are completely natural: they induce only one-loop finite contributions to squark, slepton and Higgs soft masses from “super-soft” operators [Fox, Nelson, Weiner, 2002]

MSSM

DG

Charginos and neutralinos

• Another important difference to the MSSM, which can significantly impact the collider phenomenology, lies in the electroweak (EW) -ino spectrum.

• The EW-inos are formed from the “usual” bino, wino and higgsino states, and their DG-adjoint (singlet and triplet) fermions

�9Sabine Kraml

MN =

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binos

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higgsinos

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Small pair-wise mass splittings of bino-like, wino-like and higgsino-like neutralinos

DM relic density: Belanger et al., 0905.1043

➭ 3 charginos ➭ 6 neutralinos

Neutralino (co)LSP: mass splitting and lifetime

�10Sabine Kraml

- Small λS: quasi-stable co-LSP with tiny mass splitting; will appear like just one MSSM bino LSP.

- Intermediate λS: few GeV mass splitting; decays of second neutralino can lead to displaced vertices.

- Large λS: mass splitting is tens of GeV; second neutralino decays promptly into Z* + LSP.

Benchmark scenario: m1D = 200 GeV, m2D = 500 GeV and μ = 400 GeV; tanβ = 2, λT = 0.2.

arXiv:1812.09293

How does this impact gluino and squark mass limits?

G. Chalons, M. Goodsell, SK, H. Reyes-Gonzalez, S. WilliamsonarXiv:1812.09293

In the simplified-model context, ATLAS and CMS exclude squarks up to ~1.5 TeV and gluinos up to ~2 TeV (36 fb-1)

Neutralino (co)LSP: mass splitting and lifetime

�12Sabine Kraml

We choose two values of λS to study impact on gluino and squark searches

Benchmark scenario: m1D = 200 GeV, m2D = 500 GeV and μ = 400 GeV; tanβ = 2, λT = 0.2.

arXiv:1812.09293

Benchmark scenarios

�13Sabine Kraml

NB large λS scenario can have lighter stops (mh=125 GeV)

DG1,2,3: m1D = 200 GeV, μ = 400 GeV, m2D = 500 GeV; tanβ = 2, λT = 0.2.DG4: m2D → ~1200 GeV.

small λS large λS

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DG1: λS = -0.27

Δm sub-GeV

fix EW-ino spectrum, scan over gluino and squark masses

Benchmark scenarios

�14Sabine Kraml

NB large λS scenario can have lighter stops (mh=125 GeV)

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small λS large λS

DG2+3: λS = -0.74

Δm ~ 35 GeV

fix EW-ino spectrum, scan over gluino and squark masses

DG1,2,3: m1D = 200 GeV, μ = 400 GeV, m2D = 500 GeV; tanβ = 2, λT = 0.2.DG4: m2D → ~1200 GeV.

Tools for numerical analysis

• Mass spectrum and decays with Sarah/SPheno

• Cross sections (at leading order) with MadGraph5

�15Sabine Kraml

• Monte Carlo simulation with MadGraph5 + Pythia 8

• Recasting with MadAnalysis5

• Simplified model limits with SModelS

this talk

Recast of ATLAS 2-6 jets + ET analysis 1712.02332

• Fully hadronic search for gluinos and squarks at 13 TeV, 36/fb.

• Two approaches: 1. “Meff-based search” and 2. recursive jigsaw.

• Implemented the Meff-based analysis in the MadAnalysis5 recast framework; good agreement with ATLAS cutflows.

• Basic cuts: pT(jets) > 50 GeV, MET > 250 GeV, lepton veto (no e,μ with pT>7 GeV)

• 22 inclusive signal regions: bins of jet multiplicity and Meff.

�16Sabine Kraml

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http://madanalysis.irmp.ucl.ac.be/wiki/PublicAnalysisDatabase

Meff := scalar sum of pT(jets) and MET

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Recast of ATLAS 2-6 jets + ET analysis

�17Sabine Kraml

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NB: leading order cross sections!

Scan in gluino vs squark mass plane, 30K events per point

95% CL exclusion

simplified model limit for decoupled gluinos

Recast of ATLAS 2-6 jets + ET analysis

�18Sabine Kraml

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NB: leading order cross sections!

Scan in gluino vs squark mass plane, 30K events per point

95% CL exclusion

effect of small bino mass splitting

�19Sabine Kraml

Constraints on squark masses

Squark mass limit close to 2 TeVfor light(-ish) gluinos, but plungesto 1.1-1.4 TeV for heavy gluinos

Sizeable effect from bino-splitting if gluinos are heavy

DG1

DG3

Recast of ATLAS 2-6 jets + ET analysis

�20Sabine Kraml

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NB: leading order cross sections!

Scan in gluino vs squark mass plane, 30K events per point

95% CL exclusiondip+peak comes from change in best signal region: 6j-Meff-1800 → 6j-Meff-2600

Constraints on gluino mass: DG3

�21Sabine Kraml

NB: leading order cross sections!

similar sensitivity

Constraints on gluino mass: DG1

�22Sabine Kraml

NB: leading order cross sections!

similar sensitivity

Conclusions

• Dirac gauginos lead to distinct phenomenology; LHC limits differ from MSSM- Enhanced gluino production (but gluinos can naturally be heavy)- Strongly suppressed squark production- Extended EW-ino spectrum:

- more complicated decay chains- second neutralino may be long-lived (small mass splitting)

• Pair-production of color-octet pseudoscalar → 4-top signature

• Worthwhile to explore experimental consequences of non-minimal scenarios in detail

�23Sabine Kraml

(still) many ways to SUSY

MSSM

NMSSM N=2split

• Next steps: explore EW-ino limits; study effects of long-lived second bino-like neutralino

To help reproducibility & reuse of our study

�24Sabine Kraml

https://doi.org/10.5281/zenodo.2422746

Public Analysis Database

�26Sabine Kraml

B. Dumont et al., Towards a public analysis database for LHC new physics searches using MadAnalysis 5, 1407.3278Detailed manual: E. Conte, B. Fuks, Confronting new physics theories to LHC data with MadAnalysis 5, 1808.00480

Each analysis code comes with a detailed validation note. D.O.I. from Inspire → individually citeable.

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