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May 25, 2023 190 likes β€’311 views

A model of dynamical SUSY breaking with R symmetry and Dirac gauginos Riccardo Pavesi Cornell University In collaboration with Csaba Csaki Jessica Goodman and Yuri Shirman (UC Irvine) Motivation for R symmetry Dirac masses: MSSM:

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A model of dynamical SUSY breaking with R symmetry and Dirac gauginos

Riccardo Pavesi Cornell University

In collaboration with Csaba Csaki Jessica Goodman and Yuri Shirman (UC Irvine)

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SLIDE 2

Motivation for R symmetry

  • Dirac masses:
  • MSSM: top/stop loop in Higgs mass log-divergent hence:

Naturalness→low scale stops

  • BUT Dirac gluino mass cuts off the divergence, it allows

heavier superpartners (1 TeV)

  • Heavy gluino (5 TeV) production is kinematically

suppressed

  • Naturally squarks lighter than gluinos
  • R symmetry:
  • Takes care of FCNC and CP-violation, relevant interactions

are absent (Kribs et al., hep-ph: 0712.2039)

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Collider phenomenology

  • T-channel gluino

exchange is forbidden (same handedness) or suppressed by 𝑁3

2 (mixed) Kribs,Martin, hep-ph:1203.4821

Only relevant squark production channels

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SLIDE 4

Supersoft mediation

  • 𝑒2πœ„

𝑋

𝛽 ′𝑋 π‘˜ π›½π‘π‘˜

Ξ›

W’: U(1)’ gauge. Wj: SM gauge field; Mj: adjoint chiral

superfield: gaugino partners

  • Need the D’ term from a U(1)’ gauge field
  • Contains Dirac mass term:

𝐸′ Ξ› πœ‡π‘˜π‘›π‘˜

  • Generates FINITE sfermion masses, gauge loops
  • Can generate this operator from messengers

𝑒2πœ„ π‘›πœš 𝜚 + 𝜚 π‘πœš

Fox, Nelson, Weiner (hep-ph/0206096)

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SLIDE 5

Seiberg duality and modifying ISS

  • The s-confining low energy dual of SUSY QCD with 6 flavors
  • Flavor group SU(6) broken by gauging SU(5) subgroup and

identifying with the SM

  • Theory of Baryons and Mesons
  • Seiberg→𝑋 = 𝐢

𝑁 𝐢 = 𝝔 𝑡𝝔 + πœ”π‘‚πœš + πœ” 𝑂 𝜚 + πœ”πœ” π‘Œ

  • M adjoint is partnered to SM gauginos, automatic

trilinear term

B = πœšπ‘˜ πœ” 𝑁 = 𝑁𝑗

π‘˜

π‘‚π‘˜ 𝑂𝑗 π‘Œ

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SLIDE 6

Additional Superpotential

  • 𝝎𝝎

𝒀 βˆ’ π‚πŸ‘π’€ + +π’Šπ‘» 𝝎 + 𝑼 + π’Šβ€²π‘» 𝝎 + 𝑼 + πœ·π’‚π‘Όπ‘Ό

  • Singlets 𝑇, 𝑇,

π‘ˆ, π‘ˆ , π‘Ž

  • Can Gauge U(1)B Baryon number
  • Consistent with U(1)R R-symmetry
  • The additional terms force asymmetric VEV’s

β†’D term

Meson Baryon Baryon From Seiberg

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SLIDE 7

Minimum and VEV’s

  • 𝝎, 𝝎

π’™π’‹π’–π’Šπ’‹π’ 𝒄𝒃𝒔𝒛𝒑𝒐𝒕 & 𝑼, 𝑼 get VEV’s

  • TrM is given VEV by hand with additional singlet. This

also provides Ο† masses

  • Couplings h and h’ are irrelevant in the β€œElectric

theory”, some tuning required. Can be chosen equal and then Charge Conjugation is broken spontaneouslyβ†’ D term

  • There is NO flat direction
  • M adjoint remains massless
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Mediation (loops)

  • Dirac gaugino mass:
  • Scalar M masses:
  • Sfermion soft masses, π’πŸ‘ =

𝑫𝒋(𝒔)πœ·π’‹π’π’‹

πŸ‘

𝝆

𝐦𝐩𝐑 (

πœΊπŸ‘ 𝒏𝒋

πŸ‘)

Ξ΄ is the mass of scalar M

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Scales

  • Require tuned coincidence coupling of 𝑻 𝝎 β‰ˆ 𝑻 𝑼
  • Spectrum much dependent on parameters
  • Example:
  • 𝜈2 = Ξ› π‘›πΉπ‘šπ‘“π‘‘π‘’π‘ π‘—π‘‘~(5000 π‘ˆπ‘“π‘Š)2
  • β„Ž β‰… β„Žβ€² =

Ξ› π‘π‘‰π‘Š 3

Ξ›~10,000 π‘ˆπ‘“π‘Š

  • Ξ› 𝑏𝑑 β„Žπ‘—π‘•β„Ž 𝑏𝑑 1015π»π‘“π‘Š
  • Gluino ~ 5 TeV
  • Scalar M adjoint ~ 50 TeV
  • Squarks ~ 800 Gev βˆ’ 1 TeV
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SLIDE 10

Conclusions

  • It was possible to construct a model of SUSY

breaking that produces both D and F terms

  • An R symmetry is unbroken which allows

evading collider bounds and flavor bounds

  • Dirac gaugino masses are naturally heavier and

partners can be automatically obtained from mesons in a confining SQCD theory

  • Interesting phenomenologies are now within

reach of model-builders

  • The Higgs sector is work for the future
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SLIDE 11

Higgs

  • R symmetry forbids having both ΞΌ and BΞΌ

together

  • In original Fox, Nelson, Weiner quartic is

suppressed but NOT here, due to large mass for scalar Adj M

  • Possible to introduce fields with R-charge 2:
  • 𝑋 = πœˆπ‘£πΌπ‘£π‘†π‘£ + πœˆπ‘’πΌπ‘’π‘†π‘’
  • Not clear how to generate this within our

mediation β†’Need direct coupling

  • Can use standard mechanisms for generating BΞΌ