UNIFICATION, OBSERVABLE LANDSCAPES AND NEW PARTICLES AT THE LHC - - PowerPoint PPT Presentation

UNIFICATION, OBSERVABLE LANDSCAPES AND NEW PARTICLES AT THE LHC

Raffaele Tito D’Agnolo - IAS Princeton A First Glance Beyond the Energy Frontier 9/9/2016-ICTP

THE MOST EXCITING LHC RESULT

2

THE HIGGS IS LIGHT AND

• THERE IS NOTHING RELATED TO

NATURALNESS

THE MOST EXCITING LHC RESULT

3

• 1. IS IT REASONABLE TO EXPECT NEW

PARTICLES AT THE LHC?

• 2. WHAT ABOUT THE HIGGS MASS?

SOME PERSPECTIVE

4

π

µ

vs

Never 1935 1947 1936

SOME PERSPECTIVE

5

10-1 1 10 102 103 1000 1500 2000 2500 3000

L(fb-1) mg

(GeV)

• ˜

_

• ˜
• =

2-3 orders

• f magnitude

in σ

SOME PERSPECTIVE

6

√s = 13 TeV

< 10%

UNIFICATION

• N. Arkani-Hamed, RTD, M. Low, D. Pinner

1608.01675

EXPERIMENTAL HINTS

8

PROTON AND ELECTRON CHARGE GAUGE COUPLING UNIFICATION

EXPERIMENTAL HINTS

9

PROTON AND ELECTRON CHARGE GAUGE COUPLING UNIFICATION NULL INDIRECT RESULTS (EWPTS,…) VECTOR-LIKE PARTICLES

MATTER CONTENT

10

• (PERTURBATIVE) GAUGE COUPLING UNIFICATION
• VECTOR-LIKE FERMIONS

. 4 × (5 + ¯ 5)

. (5 + ¯ 5) +

• 10 + 10
• AT THE

WEAK SCALE

MATTER CONTENT

11

5 = (D, Lc) WEAKLY COUPLED 10 = (Qc, E, U c) WELL KNOWN PHENOMENOLOGY NO REASON TO BE NEAR THE WEAK SCALE

VECTOR-LIKE CONFINEMENT

12

LEPTONS QUARKS SM FERMIONS

5 + ¯ 5 γ GH COLOR

SM FORCES

CONFINING GROUPS

13

GH

N.B. Only their fundamental representations are asymptotically free ( ) NF ≥ 5

CONFINING GROUPS

14

Example 3 × (5 + ¯ 5) NF = 5

CONFORMAL WINDOW

15

ONE MORE INGREDIENT: SUSY IN THE UV ALL(*) OUR THEORIES ARE IN THE CONFORMAL WINDOW (*) SU(4) NF ≥ 7 3Nc/2 < NF < 3Nc SU(Nc) 3(Nc + 1)/2 < NF < 3(Nc + 1) Sp(Nc)

CONFORMAL WINDOW

16

Λ ∼ TeV − 100 TeV

SIGNALS

CHIRAL SYMMETRY

18

SU(NF ) × SU(NF )

SU(NF ) SU(2)H, Sp(4)H SU(3)H, SU(4)H SU(2NF ) Sp(2NF ) NF ≥ 5

PIONS

19

SU(2)H, Sp(4)H SU(3)H, SU(4)H 24 + ∆(5 + 5) + ∆21

24 + 10 + 10 + 2∆(5 + 5) + ∆(2∆ − 1)1

∆ = NF − 5

PIONS

20

EXAMPLE: of SU(5) 24

INTERACTIONS

21

REAL COMPLEX

MASSES

22

SIMPLEST SCENARIO: ONLY SM GAUGE INTERACTIONS BREAK THE FLAVOR SYMMETRY EXPLICITLY m2 ∼ (αs/4π)Λ2 m2 ∼ (αs/4π)Λ2 m2 ∼ (αw/4π)Λ2 m ∼ 50 keV

SUMMARY

23

π1 π8 π3 QX WEAK SCALE MASSES

COLORED PROMPT DECAYS TO VV

NEARLY MASSLESS

STABLE

A HANDFUL OF PARAMETERS DETERMINES ALL THEIR PHENOMENOLOGY

SUMMARY, PART II

24

COLORED

m ∼ TeV σ ∼ 0.1 pb

EW CHARGED m ∼ 400 GeV

σ ∼ few fb

ALPs, LIGHT HIGGSES

fa ∼ TeV sθ . 1%

DIJETS,MULTIJETS, SQUARKS, LEPTOQUARKS MULTI-W,Z, , SLEPTONS SN1987A, BEAM DUMPS, LHCb, Belle, …

γ

POSSIBLE DEDICATED SEARCHES

25

• SPECTACULAR CASCADES
• jZ RESONANCES
• FOUR WEAK GAUGE BOSONS
• EXOTIC LEPTOQUARKS

[jl+(l−¯ ν)][jl−(l+ν)] (jZ), (jZ)(jj), (jZ)(jγ) tl, τj

LOW ENERGY LANDSCAPES

• N. Arkani-Hamed, RTD, A.Hook, H.D. Kim,M. Low

Very Preliminary

IDEAL OUTCOME

27

MAKE THE HIGGS LIGHT BY TUNING ONLY

Λ

BONUS

28

SIGNALS OF LOW ENERGY LANDSCAPES

SETUP

29

• WE IMAGINE THAT ANTHROPIC TUNING OR SUSY

BRINGS THE CC DOWN TO SOME INTERMEDIATE VALUE

(meV)4 ⌧ Λ∗ ⌧ M 4

P l

SETUP

30

• WE IMAGINE THAT ANTHROPIC TUNING OR SUSY

BRINGS THE CC DOWN TO SOME INTERMEDIATE VALUE

• AT LOW ENERGY WE INCLUDE ADDITIONAL

DEGENERATE VACUA

2N V ⊃ −m2 X

i

φ2

i

2 + λ X

i

φ4

i

4 N.B. hφii ⇠ MP l (meV)4 ⌧ Λ∗ ⌧ M 4

P l

SETUP

31

• WE IMAGINE THAT ANTHROPIC TUNING OR SUSY

BRINGS THE CC DOWN TO SOME INTERMEDIATE VALUE

• AT LOW ENERGY WE INCLUDE ADDITIONAL

DEGENERATE VACUA

• THE HIGGS VEV BREAKS THE DEGENERACY

2N V ⊃ −m2 X

i

φ2

i

2 + λ X

i

φ4

i

4 V ⊃ mH1H2 X

i

✏ii (meV)4 ⌧ Λ∗ ⌧ M 4

P l

BOUNDS ON THE HIGGS VEV

32

hH1H2i ⌘ v2

∗ . mMP l

✏

BOUNDS ON THE HIGGS VEV

33

∆V & Λ∗ v2

∗ &

Λ∗ ✏mMP l

THE WEAK SCALE

34

Λ∗ ✏mMP l . v2

∗ . mMP l

✏ Λ∗ ∼ v4, m ∼ v2/MP l, v∗ ∼ v

FOR SIMPLICITY AT THE MOMENT I AM TAKING

✏ = O(1)

PHENOMENOLOGY

35

N ∼ 6 log[v4/(meV)4] ∼ 102 SCALARS L ⊃ mψ MP l ¯ X

i

✏ii MEDIATING LONG RANGE FORCES WEAKER THAN GRAVITY m ∼ v2 MP l ∼ (few cm)−1

SOME WIGGLE ROOM

36

✏ ∼ 1/ √ N Λ∗ ∼ ✏2v4 m ∼ ✏ v2 MP l Λ∗ ✏mMP l . v2

∗ . mMP l

✏ v∗ ∼ v GN × ✏ m ∼ ✏ × (cm)−1

SOME WIGGLE ROOM

37

✏ ∼ 1/ √ N Λ∗ ✏mMP l . v2

∗ . mMP l

✏ m ∼ v2 ✏MP l Λ∗ ∼ v4 v2 . v2

∗ . v2/✏2

GN × ✏ m ∼ (✏ × cm)−1

SUPERSYMMETRIC CASE

38

W ⊃ µHuHd + κ X

i

φ3

i

W ⊃ λ X

i

φiHuHd + κ X

i

φ3

i

...

hφii ⇠ TeV SAME IDEA, BUT THIS TIME IS NATURAL

PHENOMENOLOGY

39

NEW HIGGS-LIKE PARTICLES AT THE LHC CASCADES HIGGS COUPLING DEVIATIONS φ φ φ H

CONCLUSION

40

• SURPRISINGLY LEP AND LHC HAVE NOT YET UNVEILED

THE SOLUTION TO THE HIERARCHY PROBLEM

• NONETHELESS THE LHC HAS STILL A HUGE PHYSICS

POTENTIAL

• AND THERE ARE MANY OTHER REASONS TO EXPECT

NEW PARTICLES OTHER THAN NATURALNESS, SOME OF WHICH UNEXPECTED:

• LOW ENERGY LANDSCAPES
• UNIFICATION + IR FIXED POINTS

BACKUP

CONSTRAINTS

42 0.1 1 10 100 1 2 3 4 5 6 7

M HGeVL L HTeVL

p8p8 Æ 4j QYQY* Æ btbt E+E- Æ {+{-nn QYQY* Æ jmjm collider stable QX collider stable E p8 Æ jj r8 Æ jj

M = MD = 2ML

gr = 4 p 2

REAL PIONS BRs

43 p1 p30 p3± p8 p' 10-3 10-2 10-1 1 branching ratio

gg Zg ZZ WW gg gg Zg ZZ Wg WZ gg gg gZ gg Zg ZZ WW gg

“STABLE” PIONS

44

LEPTONS MESONS SM FERMIONS

5 + ¯ 5 γ GH COLOR

SM FORCES

W, Z M∗

“STABLE” PIONS

45

f M 2

∗

@µQX`¯ µdc

τ ' 0.1 mm ✓0.1 ci ◆2 ✓3 TeV Λ ◆2 ✓ M∗ 10 TeV ◆4 ✓(1 GeV)2 m2

a + m2 b

◆ ✓1 TeV Mπ ◆

Λf M 2

∗

QXdc ˜ Hu

τ ' 10−11 m ✓0.1 ci ◆2 ✓3 TeV Λ ◆4 ✓ M∗ 10 TeV ◆4 ✓1 TeV Mπ ◆

FLAVOR

46

W ⊃ MΦΦΦc + L,iΦcLc`i + D,iΦcDdc

i + MLLLc + MDDDc

L ⊃ ✓λD,sλ∗

D,d

4πMΦ ◆2 ( ¯ dc¯ σµsc)2 + λL,eλ∗

L,µe

16π2 mµ M 2

Φ

(µcσµνeL)Fµν + ... M 2

Φ/(λL,eλ∗ L,µ) & (60 TeV)2

µ → eγ

=(MΦ/(λD,sλ∗

D,d)) & 1.3 ⇥ 103 TeV

<(MΦ/(λD,sλ∗

D,d)) & 80 TeV

K − ¯ K