DISPLACED PHYSICS AT THE LHC
Eric Kuflik Cornell University
with Csaba Csaki (Cornell) Salvator Lombardo (Cornell) Oren Slone (Tel Aviv) Tomer Volansky (Tel Aviv)
DISPLACED PHYSICS AT THE LHC Eric Kuflik Cornell University with - - PowerPoint PPT Presentation
DISPLACED PHYSICS AT THE LHC Eric Kuflik Cornell University with Csaba Csaki (Cornell) Salvator Lombardo (Cornell) Oren Slone (Tel Aviv) Tomer Volansky (Tel Aviv) OUTLINE Motivation Dynamical R-Parity Violation displaced LSP
Eric Kuflik Cornell University
with Csaba Csaki (Cornell) Salvator Lombardo (Cornell) Oren Slone (Tel Aviv) Tomer Volansky (Tel Aviv)
✴ Dynamical R-Parity Violation — displaced LSP ✴ Twin Higgs models — displaced Higgs decays
There must be supersymmetry! Naturalness Grand Unification Dark Matter Is supersymmetry natural? Bounds typically assume large missing-energy
muon electron jet jet MET
proton decay, di-nucleon decay, flavor violation, etc…
partners
energy
W = LL¯ e + LQ ¯ d + ¯ u ¯ d ¯ d
˜ d ¯ u ¯ d Q L Q Q π0 K0 p
Proton Decay
(Q, ¯ u, ¯ d, L, ¯ e) → −(Q, ¯ u, ¯ d, L, ¯ e) (Hu, Hd) → (Hu, Hd)
˜ f ˜ λ f
R-Parity conservation is not required
Perhaps…
some small
it may be strongly broken elsewhere
˜ d ¯ u ¯ d Q L Q Q π0 K0 p
Proton Decay
˜ Lk Qα
i
¯ dα
j
Qβ†
j
dβ†
i
FCNC
Which RPV terms are largest in the visible sector?
OhRPV = λ LL¯ e + λ0 LQ ¯ d + λ00 ¯ u ¯ d ¯ d OhBL = µ0LHu
If we know R-parity violating operators are small, why do we only consider renormalizable ones?
Which RPV terms are largest in the visible sector?
OhRPV = λ LL¯ e + λ0 LQ ¯ d + λ00 ¯ u ¯ d ¯ d OhBL = µ0LHu Od5(1)
hRPV = ρ HdQQQ + ρ0HdQ¯
u¯ e Od5(2)
hRPV = κ00 LHuHdHu
OnhRPV = η ¯ u¯ e ¯ d† + η0 Q¯ uL† + η00 QQ ¯ d† + κ¯ eHdH†
u
OnhBL = κ0L†Hd
SM messengers
hSi M
OhRPV = λ LL¯ e + λ0 LQ ¯ d + λ00 ¯ u ¯ d ¯ d OhBL = µ0LHu Od5(1)
hRPV = ρ HdQQQ + ρ0HdQ¯
u¯ e Od5(2)
hRPV = κ00 LHuHdHu
OnhRPV = η ¯ u¯ e ¯ d† + η0 Q¯ uL† + η00 QQ ¯ d† + κ¯ eHdH†
u
OnhBL = κ0L†Hd U(1)B−L U(1)R OhRPV, OhBL −1 3/2 Od5(1)
hRPV
1 5/2 Od5(2)
hRPV
−1 7/2 OnhRPV, OnhBL 1 1/2
OhRPV = λ LL¯ e + λ0 LQ ¯ d + λ00 ¯ u ¯ d ¯ d OhBL = µ0LHu U(1)B−L U(1)R S 1 1/2 U(1)B−L U(1)R OhRPV, OhBL −1 3/2 Od5(1)
hRPV
1 5/2 Od5(2)
hRPV
−1 7/2 OnhRPV, OnhBL 1 1/2
Leading operators:
WdRP V = S M OhRPV + SOhBL, KdRP V = S∗ M 2 OnhRPV + S∗ M OnhBL
U(1)B−L U(1)R S −1 −1/2
Od5(1)
hRPV = ρ HdQQQ + ρ0HdQ¯
u¯ e OnhRPV = η ¯ u¯ e ¯ d† + η0 Q¯ uL† + η00 QQ ¯ d† + κ¯ eHdH†
u
OnhBL = κ0L†Hd U(1)B−L U(1)R OhRPV, OhBL −1 3/2 Od5(1)
hRPV
1 5/2 Od5(2)
hRPV
−1 7/2 OnhRPV, OnhBL 1 1/2
Leading operators:
WdRP V = S M 2 Od5(1)
hRPV,
KdRP V = S M 2 OnhRPV + S M OnhBL
U(1)B−L U(1)R S −1 −1/2
U(1)B−L U(1)R OhRPV, OhBL −1 3/2 Od5(1)
hRPV
1 5/2 Od5(2)
hRPV
−1 7/2 OnhRPV, OnhBL 1 1/2
Not the standard RPV terms Leading operators:
WdRP V = S M 2 Od5(1)
hRPV,
KdRP V = S M 2 OnhRPV + S M OnhBL
Z d4θ S⇤ M 2 ✓ ηijk¯ ui¯ ej ¯ d†
k + η0 ijkQi¯
ujL†
k + 1
2η00
ijkQiQj ¯
d†
k
◆ Different helicity and flavor structure compared to standard operators
LL¯ e + LQ ¯ d + ¯ u ¯ d ¯ d
Z d4θ S⇤ M 2 ✓ ηijk¯ ui¯ ej ¯ d†
k + η0 ijkQi¯
ujL†
k + 1
2η00
ijkQiQj ¯
d†
k
◆ Different helicity and flavor structure compared to standard operators
LL¯ e + LQ ¯ d + ¯ u ¯ d ¯ d
All superfields can be the same flavor A neutrino-top-stop interaction Different helicity structure
All operators (with just one scalar) are chirally suppressed or suppressed by SUSY breaking Z d4θ S⇤ M 2 ✓ ηijk¯ ui¯ ej ¯ d†
k + η0 ijkQi¯
ujL†
k + 1
2η00
ijkQiQj ¯
d†
k
◆
If SUSY breaking effects are absent,
and suppressed for light flavors!
Instead of only considering Let’s also consider K = 1 M
u¯ e ¯ d† + Q¯ uL† + QQ ¯ d† W = λ
e + LQ ¯ d + ¯ u ¯ d ¯ d
cτ˜
t!¯ b¯ b ' 10 cm
✓300 GeV m˜
t
◆ ✓M 2/hSi 109GeV ◆2
η00
333
K = 1 M QQ ¯ d†
¯ t ˜ ν t ˜ b ¯ t ¯ b ˜ t ¯ b ¯ b t ˜ t ¯ ν Q¯ uL∗ QQ ¯ d∗ :
:
fermion masses, and/or SUSY breaking
additional flavor suppression
and sometimes prompt and sometimes collider stable…
τLSP ∼ 1 mm − 1 km
image: Roni Harnik
Do top partners need to be colored? ∼ y2
t
16π2 NcΛ2
divergence (at one-loop)
couplings
partners
×Nc ×Nc
Z2
Higgs, Holographic Twin Higgs, Orbifold Higgs, …
(similar in Folded SUSY)
The SM Higgs can decay into mirror glueballs Which then decay back to the SM
Mirror Glueball
x
SM Higgs Twin Higgs Mirror Glueball Mirror Top Mirror Gluon
x
Mirror Top SM Higgs Twin Higgs Mirror Gluon SM Particles Mirror Glueball
p p
Primary Vertex jet jet
with pT > 60 GeV
detector interactions)
<0.5 mm) track per jet
Search for long-lived neutral particles decaying to quark- antiquark pairs in proton-proton collisions at sqrt(s) = 8 TeV
Secondary Vertex
p p
with
pT > 65, 60, 55 GeV
Search for massive, long-lived particles using multitrack displaced vertices or displaced lepton pairs in pp collisions at sqrt(s) = 8 TeV with the ATLAS detector
jets / MET μ/e
0.5 mm 2 mm
motivated by naturalness
higgsinos
production of LSPs
Pythia→Delphes
proper lifetimes to LHE file (VTIMUP column)
hadrons supported by Pythia 8)
enhance DV reconstruction eff.
parametrized by track IP and Lxy
procedure for ATLAS + CMS displaced vertex searches
merge truth-level vertices within 1 mm
track information
benchmark models within 20%
Search for pair- produced resonances decaying to jet pairs in proton-proton collisions at sqrt(s) = 8 TeV (CMS, 1412.7706)
CMS-dijet ATLAS-jet HSCP HSCP: CS Prompt
200 400 600 800 1000 1200 1400 10-1 1 101 102 103 104 105 106 mt
(GeV)c (mm) p p t ˜ t ˜*, t ˜ d d
CMS-dijet ATLAS-jet HSCP HSCP: CS Prompt
200 400 600 800 1000 1200 1400 10-1 1 101 102 103 104 105 106 mt
(GeV)c (mm) p p t ˜ t ˜*, t ˜ b d
CMS-dijet ATLAS-jet HSCP HSCP: CS Prompt
200 400 600 800 1000 1200 1400 10-1 1 101 102 103 104 105 106 mt
(GeV)c (mm) p p t ˜ t ˜*, t ˜ b b
Leptoquark searches
CMS-dijet ATLAS-e ATLAS-jet HSCP HSCP: CS Prompt
200 400 600 800 1000 1200 10-1 1 101 102 103 104 105 106 mt
(GeV)c (mm) t ˜ b e
CMS-dijet ATLAS- ATLAS-jet HSCP HSCP: CS Prompt
200 400 600 800 1000 1200 10-1 1 101 102 103 104 105 106 mt
(GeV)c (mm) t ˜ b
CMS-dijet ATLAS-MET ATLAS-jet HSCP HSCP: CS Prompt
200 400 600 800 1000 1200 10-1 1 101 102 103 104 105 106 mt
(GeV)c (mm) t ˜ b
R-Parity conserving stop searches R-Parity conserving scharm searches
CMS-dijet ATLAS-MET ATLAS-jet HSCP HSCP: CS Prompt
200 400 600 800 1000 1200 10-1 1 101 102 103 104 105 106 mt
(GeV)c (mm) t ˜ t
CMS-dijet ATLAS-MET ATLAS-jet HSCP HSCP: CS Prompt
200 400 600 800 1000 1200 10-1 1 101 102 103 104 105 106 mt
(GeV)c (mm) t ˜ c
R-Parity violating search R-Parity conserving gluino searches
CMS-dijet ATLAS- ATLAS-MET ATLAS-jet HSCP HSCP: CS
500 1000 1500 2000 10-1 1 101 102 103 104 105 106 mg
(GeV)c (mm) g ˜ t b b
CMS-dijet ATLAS- ATLAS-MET ATLAS-jet HSCP HSCP: CS
500 1000 1500 2000 10-1 1 101 102 103 104 105 106 mg
(GeV)c (mm) g ˜ t t
CMS-dijet ATLAS-e ATLAS-MET ATLAS-jet HSCP HSCP: CS
500 1000 1500 2000 10-1 1 101 102 103 104 105 106 mg
(GeV)c (mm) g ˜ t b e
CMS-dijet ATLAS- ATLAS-MET ATLAS-jet HSCP HSCP: CS
500 1000 1500 2000 10-1 1 101 102 103 104 105 106 mg
(GeV)c (mm) g ˜ t b
CMS-dijet ATLAS- ATLAS-MET ATLAS-jet HSCP HSCP: CS
500 1000 1500 2000 10-1 1 101 102 103 104 105 106 mg
(GeV)c (mm) g ˜ t b
CMS-dijet ATLAS-MET ATLAS-jet HSCP
200 400 600 800 1000 10-1 1 101 102 103 104 105 106 mH
(GeV)c± (mm) H ˜0 t b , H ˜- b b
0=3900×± 0=13.×± 0=4.0×± 0=2.4×± 0=1.9×± 0=1.6×± 0=1.4×± 0=1.3×± CMS-dijet ATLAS-MET ATLAS-jet HSCP
200 400 600 800 1000 10-1 1 101 102 103 104 105 106 mH
(GeV)c± (mm) H ˜0 t b , H ˜- b b
0=3900×± 0=13.×± 0=4.0×± 0=2.4×± 0=1.9×± 0=1.6×± 0=1.4×± 0=1.3×± CMS-dijet ATLAS-MET ATLAS-jet HSCP
200 400 600 800 1000 10-1 1 101 102 103 104 105 106 mH
(GeV)c (mm) H ˜0/H ˜- t/b t
0=15×103± 0=2.2×± 0=±/4.4 0=±/8.3 0=±/11. 0=±/13. 0=±/15.
are very strong Does not save natural supersymmetry
natural supersymmetry
CMS-dijet ATLAS-jet HSCP HSCP: CS Prompt
200 400 600 800 1000 1200 1400 10-1 1 101 102 103 104 105 106 mt
(GeV)
c (mm) p p t ˜ t ˜*, t ˜ b b
H πv πv p p ¯ f f ¯ f f
mπν = 10, 25, 40 GeV
two light particles
SM pairs
proportional to Higgs couplings.
in the HCAL
in the muon system
+muon/e/jets/MET searches are not sensitive due to strong triggers on leptons, jets and MET
40 GeV 10 GeV 50 GeV 25 GeV 60 GeV 40 GeV
% /
ATLAS
s = 8 TeV
CMS
s = 8 TeV (recast)
8 TeV
analysis - dedicated displaced trigger allows some coverage, but HT > 325 GeV and merged jets decreases efficiency.
Higgs or w/ISR
40 GeV 10 GeV 50 GeV 25 GeV 60 GeV 40 GeV
% /
ATLAS
s = 8 TeV
CMS
s = 8 TeV (recast)
8 TeV
Target Region 1 DV 2 DV
may require dealing with background
DV selection strategies to reduce background events, e.g.
substructure
from DV significantly reduces background
best for 2 mm to 20
impact parameter than Run I
than a few mm, use VBF/lepton triggers
Trigger Trigger Requirement Displaced jet HT > 175 GeV or three jets with p
j1,2,3 T
> (92, 76, 64) GeV, |ηj1,2,3| < (5.2, 5.2, 2.6) with |ηj1| or |ηj2| < 2.6, and two of the three jets satisfying mjj > 500 GeV, and ∆η > 3.0. A displaced jet satisfying pT > 40 GeV, at most 1 prompt track (2D IP < 2.0 mm) a, and at least 2 displaced tracks. Inclusive VBF Two jets with |ηj1,j2| > 2, ηj1 · ηj2 < 0, |ηj1 − ηj2| > 3.6 and mj1,j2 > 1000 GeV. VBF, h → b¯ b Three jets with p
j1,2,3 T
> (112, 80, 56) GeV and |ηj1,2,3| < (5.2, 5.2, 2.6) and at least
2.6. Isolated Lepton One lepton with pT > 25 GeV, |η| < 2.4, and 3D IP < 1 mm. Isolation requires the summed pT of all tracks with pT > 1 and within ∆R < 0.2 of the lepton is less than 10% of the lepton pT . Trackless jets A jet with pT > 40 GeV and |η| < 2.5 matched with a muon with pT > 10 GeV within ∆R = 0.4. No tracks with pT > 0.8 GeV in the ID within a ∆φ × ∆η region of 0.2 × 0.2.
Trigger mπv (GeV) c⇥ = 1 mm c⇥ = 10 mm c⇥ = 100 mm ggF VBF VH Total ggF VBF VH Total ggF VBF VH Total Displaced jet 10 0.4% 1.3% 1.1% 0.5% 12.6% 20.2% 25.1% 13.7% 17.1% 42.0% 34.7% 19.8% 25 0.2% 0.8% 0.7% 0.3% 7.6% 20.4% 16.9% 8.9% 17.2% 45.3% 37.3 % 20.2% 40 0.3% 1.0% 0.9% 0.4% 7.3% 19.7% 16.4% 8.6% 16.3% 44.6% 36.3% 19.3% Inclusive VBF 10 1.9% 15.5% 0.8% 2.8% 1.8% 15.5% 0.7% 2.8% 1.6% 15.1% 0.6% 2.6% 25 1.7% 15.3% 0.7% 2.7% 1.7% 15.3% 0.7% 2.7% 1.6% 15.2% 0.6% 2.6% 40 1.6% 15.2% 0.7% 2.6% 1.6% 15.2% 0.7% 2.6% 1.6% 15.2% 0.6% 2.6% VBF, h → b¯ b 10 5.8% 20.3% 13.1% 7.2% 5.8% 20.2% 13.0% 7.2% 3.5% 13.3% 8.1% 4.4% 25 4.6% 16.6% 10.9% 5.8% 4.7% 16.7% 10.9% 5.9% 4.2% 15.2% 9.7% 5.3% 40 4.0% 14.2% 9.2% 5.0% 4.0% 14.2% 9.2% 5.0% 3.8% 13.9% 8.9% 4.8% Isolated Lepton 10 3.6% 3.7% 14.7% 4.1% 1.0% 1.0% 12.5% 1.5% 0.1% 0.2% 11.8% 0.6% 25 1.0% 1.5% 13.0% 1.6% 0.3% 0.4% 11.9% 0.8% 0.05% 0.07% 11.7% 0.6% 40 1.0% 1.4% 12.6% 1.6% 0.3% 0.4% 11.9% 0.8% 0.05% 0.07% 11.6% 0.6% Trackless jet 10 0.02% 0.04% 0.04% 0.02% 0.8% 1.5% 1.3% 0.9% 2.0% 2.4% 2.2% 2.0% 25 0.02% 0.04% 0.06% 0.02% 0.5% 1.0% 0.8% 0.6% 3.6% 5.9% 5.0% 3.8% 40 0.01% 0.02% 0.03% 0.01% 0.1% 0.2% 0.2% 0.1% 2.1% 4.1% 3.3% 2.3%
Displaced triggers are best except for small lifetimes
searches
truth-level vertices within 1 mm of each other
multitrack DV search. Good for high mass ≥40 GeV
but reproduce Higgs and LLP masses in invariant mass of displaced jets
mv = 25 GeV mv = 40 GeV
% / = -
mv = 10 GeV mv = 25 GeV mv = 40 GeV
% / = -
mv = 10 GeV mv = 25 GeV mv = 40 GeV
% / = -
prong substructure.
mv = 10 GeV mv = 25 GeV mv = 40 GeV
% / = -
ATLAS search.
mv = 10 GeV mv = 25 GeV mv = 40 GeV
% / = -
HCAL ATLAS result based on rescaling cross sections.
mv = 10 GeV mv = 25 GeV mv = 40 GeV
% / = -
mv = 10 GeV mv = 25 GeV mv = 40 GeV
% / = -
vertex, assuming the second particle just escapes the detector. (Unconstrained by existing DV searches)
gives rise to displaced vertices