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Probing Baryogenesis with Displaced Vertices at the LHC Yanou Cui Perimeter Institute Phys.Rev.D, 87,11603, YC and Raman Sundrum JHEP 1312 (2013) 067, YC JHEP 1502 (2015) 049, YC and Brian Shuve Ongoing corporation with ATLAS


  1. Probing Baryogenesis with Displaced Vertices at the LHC Yanou Cui Perimeter Institute • Phys.Rev.D, 87,11603, YC and Raman Sundrum • JHEP 1312 (2013) 067, YC • JHEP 1502 (2015) 049, YC and Brian Shuve • Ongoing corporation with ATLAS displaced jets working group GGI LHC13 Workshop Oct 1 2015 1

  2. Outline • A mini-review of long-lived particle (displaced vertex) searches at the LHC: motivation, status • A general cosmological motivation: baryogenesis triggered by weak scale new particle decay • A motivated example: WIMP baryogenesis embed in natural/split SUSY • Recast existing LHC analyses with theorists’ tools: Baryogenesis as an example, easy to generalize! • Conclusion/Outlook 2

  3. Long-lived Particle Searches at the LHC • Nearly all SM particles decay promptly or have small masses relative to the LHC partonic CM energy • Energetic objects reconstructing a high mass can emerge from all parts of the detector, giving displaced vertices (DV) Displaced vertex signal is spectacular! ‣ low SM background, sensitive to rare signal events (new long-lived particles…) 3

  4. Long-lived Particle Searches at the LHC Displaced vertex signal is spectacular! ‣ But, we could easily miss it entirely!… • Most LHC searches require that objects pass through the primary vertex (PV) to reject cosmics, mis-reconstructed objects, etc. • In most searches, the transverse impact parameter (distance of closest approach to the beam) has to be ≲ 100 µ m - 1 mm (= prompt ) (track quality cut) Without dedicated efforts, DV signal events may fail to be even triggered on! 4

  5. Long-lived Particle Searches at the LHC Rising interests+ endeavours from both experimentalists and theorists in the recent years! • A (incomplete) list of related ATLAS/CMS publications based on 8 TeV data: ‣ ATLAS displaced dijets (arxiv:1504.03634) ‣ ATLAS displaced lepton pairs/multitrack (arxiv:1504.05162) ‣ ATLAS displaced muon+tracks (ATLAS-CONF-2013-092) ‣ CMS displaced dijets (arxiv:1411.6530) ‣ CMS displaced dilepton (CMS-PAS-B2G-12-024) … • Rising # of related papers by theorists… • Displaced higgs decay : A focus of the exotic Higgs decay working group of the LHC collaboration • Dedicated workshop: e.g. at UMass-Amherst, Nov 2015… 5

  6. Theoretical Motivations • Naturalness: long lifetime from approximate Z 2 symmetry TWIN HIGGS SUPERSYMMETRY Approximate Z 2 symmetry • Can evade MET searches with • relates SM fields to `twin’ fields, (small) R -parity violation cancelling the top divergence ‘Displaced SUSY’ • Breaking must be non-zero to • (Graham, Kaplan, Rajendran, Saraswat 2012…) obtain observed EWSB, but small to obtain a natural theory Long-lived LSPs can also arise • (Craig, Katz, Strassler, Sundrum 2015…) with split spectra e + _ e b σ v q b η ’ η ’ U v v b • General hidden valley type of Z’ b d ω v v d b new physics (Strassler, Zurek 2006…) q U η ’ v b 6

  7. Theoretical Motivations (new) Baryogenesis from Metastable Weak-scale New Particle Could LHC shed light on prominent puzzles in modern cosmology? Ω DM ≈ 23% , Ω B ≈ 5% , Ω B ~ Ω DM • Familiar/well-studied case: WIMP dark matter ( Ω DM ) ‣ Mass ~O(10-100) GeV, can be produced within E LHC =14 TeV ‣ Pair produced (Z 2 ) , MET χ DM invisible, MET + X p p χ DM ISR MET 7

  8. Theoretical Motivations (new) Baryogenesis from Metastable Weak-scale New Particle • New opportunity : baryogenesis (address Ω B , possibly + Ω B ~ Ω DM ) ‣ New metastable particle (baryon parent), w/mass ~O(10-100) GeV ‣ Pair produced (approx. Z 2 ), via Z/Z’, or Higgs portal j/ ` / MET ‣ Cosmological condition χ BG typical decay final states: p p Displaced decay , to j/ ` / MET χ BG ( c τ χ & 1 mm) 8 j/ ` / MET

  9. Mini-Review of Baryogenesis • Origin of Ω B ? = Where do we ourselves come from? 10 B � ¯ Initial asymmetry B We do not know! ⇡ B ) /n γ ⇠ 10 � 10 η B = ( n B � n ¯ symmetric annihilation Baryon Anti-baryon Baryon Anti-baryon Sakharov Conditions (1967): B • Require baryon number violation • Require C-, CP-symmetry violation ¯ B B ≠ 9

  10. Mini-Review of Baryogenesis Sakharov Conditions (cont.): In thermal equilibrium: ✓ ◆ � q q n B ( p ) eq ⇠ exp B ( p ) eq ⇠ exp h⇣ ⌘ i p 2 + m 2 p 2 + m 2 � B + µ /T , n ¯ � B � µ /T ¯ ¯ q B B µ = 0 Ω B ≈ 5%: CPT symmetry = 0 m B = m ¯ B Need beyond the B Standard Model n eq B = n eq B , h B i eq = 0 ¯ Physics! • Require departure from equilibrium! ❖ Existing baryogenesis mechanisms: (leptogenesis, EWBG…) Most involve high M or/and T, direct experimental test impossible (c.f. WIMP DM for Ω DM ) 10

  11. Baryogenesis from Out-of-Equilibrium Decay A general class of baryogenesis models (e.g. leptogenesis) • Assume a massive neutral particle χ Baryon asymmetry can be produced in its decay (B-, CP-violating) • Γ ( χ ! f ) 6 = Γ ( χ ! ¯ f ) n f � n ¯ f 6 = 0 • Typically, the inverse processes efficiently erase the asymmetry • But, if χ is long-lived, and decays only after T f < M χ : f f Inverse decay: X χ ✔ χ Boltzmann suppressed f f e − M χ /T decay 13 , X Out-of-equilibrium decay Sakharov conditions 11

  12. Baryogenesis from Out-of-Equilibrium Decay f f χ ✔ X χ f f 13 • Asymmetry is robustly preserved if ( H : Hubble expansion rate) Weak washout scenario Γ χ < H ( T = M χ ), An intriguing observation ( YC , Sundrum 2012; YC , Shuve, 2014) • If χ has mass at weak scale (the new energy frontier LHC < H ( T EW ) ∼ 10 − 13 GeV is exploring!), numerology gives c ⌧ − 1 χ • Converting to decay length: c τ χ & mm Displaced vertex regime @LHC! 12

  13. Displaced Vertices Motivated by Baryogenesis c τ χ & mm Γ χ < H ( T = M χ ), • A generic connection between cosmological slow rates at T ~100 GeV and displaced vertices at colliders • The universe around EW phase transition was just slightly bigger than LHC tracking resolution! H (100 GeV) ∼ 10 − 14 GeV ∼ (1 . 3 cm) − 1 10 GeV → (1 . 3 m) − 1 1 TeV → (0 . 13 mm) − 1 also see: Chang, Luty, 2009 13

  14. Displaced Vertices Motivated by Baryogenesis • Production at the LHC? No conflict between a small decay rate and a large production rate j/ ` / MET • Long lifetime due to parity-preserving approximate symmetry χ parity-violating BG vertex (e.g. Z 2 parity) vertex p p • Recover MET signal for χ BG DM in the limit of exact ( c τ χ & 1 mm) symmetry! j/ ` / MET Concrete, motivated baryogenesis models as example? 14

  15. Baryogenesis from WIMPs • YC and Raman Sundrum, Phys.Rev.D,11603 (2012) • YC, JHEP 1312 (2013) 067 15

  16. WIMP Miracle for DM — Ω DM by weak scale new physics WIMP χ freez • Cosmic Evolution of a stable WIMP : h Equilibrium SM WIMP Time evolution of 𝜓 abundance: SM WIMP annihilation Universe expands, cools, T SM WIMP Thermal freezeout → time Γ ann ⇠ n eq χ h σ ann v i < H Departure from SM / e � M χ /T n eq WIMP χ equilibrium: key to Ω WIMP !

  17. WIMP DM Miracle • Neat prediction for the absolute amount of Ω DM : Ω χ / h σ ann v i � 1 ◆ 2 ✓ M weak ◆ 2 ✓ G Fermi ⇠ 0 . 1 G χ m χ ! With , readily gives ! m χ ⇠ M weak , G χ ⇠ G Fermi , Ω DM ⇡ 23 % , 2 3 • Robust, insensitive to cosmic initial condition • Miracle: Predicts the right location of a needle in a haystack! Observed ! yet not precise , Ω DM ⇡ 23 % , 2 3 Vast possible range of a cosmological ⇠ (10 � 7 � 10 35 ) quantity: e.g. Ω theory DM 17

  18. • The familiar story of a stable WIMP WIMP DM 𝜓 X thermal freeze out Ω DM out-of-equilibrium WIMP DM 𝜓 X • A different story of a (general) WIMP? Stable 𝜓 DM, WIMP 𝜓 X Ω DM thermal freeze out ? out-of-equilibrium Metastable 𝜓 B ? WIMP 𝜓 X (later decay) ✴ Diverse lifetimes : generic in nature + B-, C-, CP-violating decay (symmetry, mass/coupling hierarchy) YC and Sundrum 2012; e.g. long lifetime of b-quark, muon YC 2013 ( ), SUSY WIMP w/RPV m W � m b , m µ 18

  19. Baryogenesis from Metastable WIMP Decay SM � • A new baryogenesis mechanism w/weak scale new physics: � SM A WIMP miracle for baryons, T ★ Thermal freezeout � SM can occur well below T EW WIMP Ω τ !1 WIMP • If + A stable WIMP DM Γ χ . H ( T freezeout ) SM � new path addressing Ω B ~ Ω DM T ★ Baryogenesis � �� CP from decay � SM � B ( � L ) � � M p M WIMP Ω τ !1 Ω B = ✏ CP WIMP 19

  20. Consider a stable WIMP as DM; species � DM and WIMP χ B , In addition, a metastable WIMP as baryon parent • Cosmic evolution of the two WIMPs: species � DM and Equilibrium SM/DM’ WIMP χ B , Equilibrium SM/DM’ WIMP χ B , species � DM and SM/DM’ SM/DM’ Universe expands, co ols species � DM and WIMP χ B , SM/DM’ SM/DM’ Thermal Freezeout WIMP χ B , species � DM and SM/DM SM/DM’ H Γ ann < H p ¯ (Generalized) WIMP miracle Ω τ →∞ B Ω DM χ B B Universe expands, co ols O ¯ µ u d u d ¯ O B − L B Ω DM WIMP χ B , WIMP χ B , ✏ CP u ¯ u d ¯ d O B − L u d u ¯ ¯ d Baryogenesis from decay of � B, �� WIMP χ B , m p � CP � Ω B = ✏ CP m χ B Ω τ →∞ χ B after its thermal freeze out 20

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