'You Better Run' Connecting low-energy Dark Matter searches with - - PowerPoint PPT Presentation

you better run connecting low energy dark matter searches
SMART_READER_LITE
LIVE PREVIEW

'You Better Run' Connecting low-energy Dark Matter searches with - - PowerPoint PPT Presentation

'You Better Run' Connecting low-energy Dark Matter searches with high-energy physics Bradley J. Kavanagh LPTHE & IPhT (CEA/Saclay) Kings College London - 13th June 2016 bradley.kavanagh@lpthe.jussieu.fr @BradleyKavanagh NewDark


slide-1
SLIDE 1

'You Better Run' Connecting low-energy Dark Matter searches with high-energy physics

Bradley J. Kavanagh LPTHE & IPhT (CEA/Saclay)

NewDark

King’s College London - 13th June 2016

@BradleyKavanagh bradley.kavanagh@lpthe.jussieu.fr

slide-2
SLIDE 2

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

slide-3
SLIDE 3

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

E

mN mZ

UV this way

mV

Collider searches

∼ 10 TeV

slide-4
SLIDE 4

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

E

mN mZ

UV this way

mV

Collider searches Direct direction

∼ 10 TeV ∼ 1 GeV

slide-5
SLIDE 5

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

E

mN mZ

UV this way

mV

Collider searches Direct direction

∼ 10 TeV ∼ 1 GeV

slide-6
SLIDE 6

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

E

mN mZ

UV this way

mV

Direct direction

∼ 1 GeV

slide-7
SLIDE 7

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Comparing different searches

ATLAS [1604.07773] Zemeckis, Hanks (1994)

slide-8
SLIDE 8

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Outline

Simplified Models RG effects in Simplified Models Direct detection constraints on Simplified Models Comparing DD and LHC searches

De Simone, Jacques [1603.08002] Crivellin, D’Eramo, Procura [1402.1173]; D’Eramo, Procura [1411.3342] D’Eramo, Procura [1411.3342]; D’Eramo, BJK, Panci [1605.04917] D’Eramo, BJK, Panci [1605.04917]

slide-9
SLIDE 9

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Simplified Models

slide-10
SLIDE 10

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Effective Field Theory

Assume mass of mediator is much larger than momentum transfer integrate out mediator to obtain a contact interaction Only have to deal with two parameters: mχ, Λ

Goodman et al. [1008.1783]

slide-11
SLIDE 11

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Limits on EFT

ATLAS [1502.01518]

slide-12
SLIDE 12

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

The problem with EFTs

Frandsen et al. [1204.3839], Buchmueller et al. [1407.8257], Malik et al. [1409.4075], Abdallah et al. [1506.03116], and many others… Buchmueller et al. [1308.6799]

slide-13
SLIDE 13

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Simplified Models to the rescue

cq cχ

Now have to deal with more parameters: cq, cχ, mχ, mV

Review: De Simone, Jacques [1603.08002] ATLAS [1604.07773]

slide-14
SLIDE 14

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Our Simplified Model

slide-15
SLIDE 15

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Vector mediator simplified model

L = LSM + LDM + LV + Jµ

DM Vµ + Jµ SM Vµ

slide-16
SLIDE 16

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Vector mediator simplified model

LDM ∼ ( |∂µφ|2 − m2

φ |φ|2

complex scalar DM χ

  • i/

∂ − mχ

  • χ

fermion DM L = LSM + LDM + LV + Jµ

DM Vµ + Jµ SM Vµ

slide-17
SLIDE 17

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Vector mediator simplified model

L = LSM + LDM + LV + Jµ

DM Vµ + Jµ SM Vµ

LV = −1 4V µνVµν + 1 2m2

V V µVµ

Massive spin-1 mediator V

slide-18
SLIDE 18

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

DM ∼

⇢ cφ φ† ← → ∂ µφ complex scalar DM cχV χγµχ + cχA χγµγ5χ fermion DM

Vector mediator simplified model

L = LSM + LDM + LV + Jµ

DM Vµ + Jµ SM Vµ

slide-19
SLIDE 19

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Vector mediator simplified model

L = LSM + LDM + LV + Jµ

DM Vµ + Jµ SM Vµ

SM = 3

X

i=1

h c(i)

q

qi

Lγµqi L + c(i) u ui Rγµui R + c(i) d

di

Rγµdi R + c(i) l

li

Lγµli L + c(i) e

ei

Rγµei R

i

15 independent, SU(2)L x U(1)Y gauge-invariant couplings

slide-20
SLIDE 20

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Calculating the direct detection rate

slide-21
SLIDE 21

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Direct detection

mχ & 1 GeV v ∼ 10−3

DM

Rate driven by coupling of DM to light quarks (u, d, s): Look for low energy - O(keV) - recoils of detector nuclei χγµχ qγµq χγµγ5χ qγµγ5q χγµχ qγµγ5q χγµγ5χ qγµq

slide-22
SLIDE 22

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Direct detection

mχ & 1 GeV v ∼ 10−3

DM

Rate driven by coupling of DM to light quarks (u, d, s): Look for low energy - O(keV) - recoils of detector nuclei χγµχ qγµq χγµγ5χ qγµγ5q χγµχ qγµγ5q χγµγ5χ qγµq Standard SI Standard SD

slide-23
SLIDE 23

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Connecting high and low scales

Define couplings at high energy scale (mediator mass), but need to calculate direct detection rate at low energy

Kopp et al. [0907.3159], Frandsen et al. [1207.3971], Haisch, Kahlhoefer [1302.4454], Kopp et al. [1401.6457], Crivellin, Haisch [1408.5046]

Running can change the DD rate by orders of magnitude. Examples in specific models:

  • Use EFT techniques and RG flow to study

the effects for general interactions

  • Include all relevant DD interactions (not just

naive ‘leading order’)

slide-24
SLIDE 24

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

E

mN mZ mV

SMχ ⇠⇠ EW SMχ

D’Eramo, Procura [1411.3342]

NREFT

slide-25
SLIDE 25

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

E

mN mZ mV

SMχ ⇠⇠ EW SMχ

Integrate out vector mediator

D’Eramo, Procura [1411.3342]

NREFT

slide-26
SLIDE 26

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

E

mN mZ mV

SMχ ⇠⇠ EW SMχ

Integrate out vector mediator

D’Eramo, Procura [1411.3342]

NREFT

c(i)

V,A u = ±c(i) q

+ c(i)

u

2 c(i)

V,A d = ±c(i) q

+ c(i)

d

2 c(i)

V,A e = ±c(i) l

+ c(i)

e

2

Matching at EWSB

slide-27
SLIDE 27

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

E

mN mZ mV

SMχ ⇠⇠ EW SMχ

Integrate out vector mediator Run down to electroweak scale

D’Eramo, Procura [1411.3342]

NREFT

slide-28
SLIDE 28

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

E

mN mZ mV

SMχ ⇠⇠ EW SMχ

Integrate out vector mediator Run down to electroweak scale Match onto EW-broken theory

D’Eramo, Procura [1411.3342]

NREFT

slide-29
SLIDE 29

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

E

mN mZ mV

SMχ ⇠⇠ EW SMχ

Integrate out vector mediator Run down to electroweak scale Match onto EW-broken theory Run down to nuclear scale

D’Eramo, Procura [1411.3342]

NREFT

slide-30
SLIDE 30

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

E

mN mZ mV

SMχ ⇠⇠ EW SMχ

NREFT Integrate out vector mediator Run down to electroweak scale Match onto EW-broken theory Run down to nuclear scale Match onto nucleon couplings Calculate direct detection rate

D’Eramo, Procura [1411.3342]

slide-31
SLIDE 31

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

RGE effects

As we move between the different scales, we have to take into account the running of the couplings, due only to loops of Standard Model particles, e.g.

Self-renormalisation Operator mixing

slide-32
SLIDE 32

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

RGE effects

As we move between the different scales, we have to take into account the running of the couplings, due only to loops of Standard Model particles, e.g. The running doesn’t depend on the properties of the Dark Sector.

Self-renormalisation Operator mixing

slide-33
SLIDE 33

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

RGE effects

As we move between the different scales, we have to take into account the running of the couplings, due only to loops of Standard Model particles, e.g. The running doesn’t depend on the properties of the Dark Sector.

Self-renormalisation Operator mixing

Y O U H A V E T O R U N !

slide-34
SLIDE 34

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

runDM - a code for the RGE

Mathematica and Python versions available at: https://github.com/bradkav/runDM/

slide-35
SLIDE 35

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

runDM - a code for the RGE

Mathematica and Python versions available at: https://github.com/bradkav/runDM/

Input: DM-SM couplings at high energy scale Output: DM-SM couplings at another arbitrary energy scale OR DM-nucleon couplings at direct detection scale

slide-36
SLIDE 36

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Direct detection constraints

slide-37
SLIDE 37

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Results I - quarks vector

10 102 103 104 Dark Matter mass mχ [GeV] 102 103 104 105 106 Mediator mass mV [GeV] Flavor universal: Quarks only ¯ χγµχ ¯ fγµf

LUX 2014 LZ projected

LEFT = − 1 m2

V

JDM µ

3

X

i=1

h uiγµui + diγµdii

slide-38
SLIDE 38

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Results I - quarks vector

10 102 103 104 Dark Matter mass mχ [GeV] 102 103 104 105 106 Mediator mass mV [GeV] Flavor universal: Quarks only ¯ χγµχ ¯ fγµf

LUX 2014 LZ projected

c(q)

V

∼ 1 + # e2 16π2 ln(mV /mN)

LEFT = − 1 m2

V

JDM µ

3

X

i=1

h uiγµui + diγµdii

slide-39
SLIDE 39

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Results I - quarks vector

10 102 103 104 Dark Matter mass mχ [GeV] 102 103 104 105 106 Mediator mass mV [GeV] Flavor universal: Quarks only ¯ χγµχ ¯ fγµf

LUX 2014 LZ projected

10 102 103 104 Dark Matter mass mχ [GeV] 102 103 104 105 106 Mediator mass mV [GeV] Flavor universal: Quarks only ¯ χγµγ5χ ¯ fγµf

LUX 2014 L Z p r

  • j

e c t e d

LEFT = − 1 m2

V

JDM µ

3

X

i=1

h uiγµui + diγµdii

slide-40
SLIDE 40

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

10 102 103 104 Dark Matter mass mχ [GeV] 102 103 104 105 106 Mediator mass mV [GeV]

L U X 2 1 4 LZ projected

Flavor universal: Quarks only ¯ χγµγ5χ ¯ fγµγ5f

Results II - quarks axial-vector

LEFT = − 1 m2

V

JDM µ

3

X

i=1

h uiγµγ5ui + diγµγ5dii

No running Running

slide-41
SLIDE 41

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Aside: SM axial-vector current

But only for coupling to AV current of SM fermions!

JDM µ qγµγ5q

slide-42
SLIDE 42

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

10 102 103 104 Dark Matter mass mχ [GeV] 102 103 104 105 106 Mediator mass mV [GeV]

L U X 2 1 4 LZ projected

Flavor universal: Quarks only ¯ χγµγ5χ ¯ fγµγ5f

Results II - quarks axial-vector

LEFT = − 1 m2

V

JDM µ

3

X

i=1

h uiγµγ5ui + diγµγ5dii

No running Running

slide-43
SLIDE 43

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

10 102 103 104 Dark Matter mass mχ [GeV] 102 103 104 105 106 Mediator mass mV [GeV] Flavor universal: Quarks only ¯ χγµγ5χ ¯ fγµγ5f

L U X 2 1 4 L Z p r

  • j

e c t e d

c(q)

A ∼ 1 + #

λ2

b,t

16π2 ln(mV /mN)

Results II - quarks axial-vector

LEFT = − 1 m2

V

JDM µ

3

X

i=1

h uiγµγ5ui + diγµγ5dii

No running Running

slide-44
SLIDE 44

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

10 102 103 104 Dark Matter mass mχ [GeV] 1 10 102 103 104 105 106 Mediator mass mV [GeV]

LUX 2014 LZ projected

Flavor universal: Quarks only ¯ χγµχ ¯ fγµγ5f

Results II - quarks axial-vector

LEFT = − 1 m2

V

JDM µ

3

X

i=1

h uiγµγ5ui + diγµγ5dii

No running Running

slide-45
SLIDE 45

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Results II - quarks axial-vector

LEFT = − 1 m2

V

JDM µ

3

X

i=1

h uiγµγ5ui + diγµγ5dii

10 102 103 104 Dark Matter mass mχ [GeV] 1 10 102 103 104 105 106 Mediator mass mV [GeV] Flavor universal: Quarks only ¯ χγµχ ¯ fγµγ5f

LUX 2014 L Z p r

  • j

e c t e d

c(q)

V

∼ 0 + # λ2

b,t

16π2 ln(mV /mN)

No running Running

slide-46
SLIDE 46

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

10 102 103 104 Dark Matter mass mχ [GeV] 1 10 102 103 104 105 106 Mediator mass mV [GeV] Flavor universal: Quarks only ¯ χγµχ ¯ fγµγ5f

LUX 2014 L Z p r

  • j

e c t e d

10 102 103 104 Dark Matter mass mχ [GeV] 102 103 104 105 106 Mediator mass mV [GeV] Flavor universal: Quarks only ¯ χγµγ5χ ¯ fγµγ5f

L U X 2 1 4 L Z p r

  • j

e c t e d

Results II - quarks axial-vector

LEFT = − 1 m2

V

JDM µ

3

X

i=1

h uiγµγ5ui + diγµγ5dii

No running Running

slide-47
SLIDE 47

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

10 102 103 104 Dark Matter mass mχ [GeV] 1 10 102 103 104 105 106 Mediator mass mV [GeV] Third Generation ¯ χγµχ ¯ fγµγ5f 10 102 103 104 Dark Matter mass mχ [GeV] 1 10 102 103 104 105 106 Mediator mass mV [GeV] Third Generation ¯ χγµγ5χ ¯ fγµγ5f

Results III - 3rd Generation axial-vector

LEFT = − 1 m2

V

JDM µ ⇥ tγµγ5t + bγµγ5b + τγµγ5τ ⇤

slide-48
SLIDE 48

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

10 102 103 104 Dark Matter mass mχ [GeV] 1 10 102 103 104 105 106 Mediator mass mV [GeV] Third Generation ¯ χγµχ ¯ fγµγ5f

LUX 2014 LZ projected

10 102 103 104 Dark Matter mass mχ [GeV] 1 10 102 103 104 105 106 Mediator mass mV [GeV] Third Generation ¯ χγµγ5χ ¯ fγµγ5f

LUX 2014 L Z p r

  • j

e c t e d

Results III - 3rd Generation axial-vector

LEFT = − 1 m2

V

JDM µ ⇥ tγµγ5t + bγµγ5b + τγµγ5τ ⇤

slide-49
SLIDE 49

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Comparing DD and LHC searches

slide-50
SLIDE 50

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

LHC mono-X searches

ATLAS [1604.07773]

LAV = gχVµ χγµγ5χ + gqVµ X

q

qiγµγ5qi

slide-51
SLIDE 51

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’ 1 10 102 103 104

Dark Matter mass mχ [GeV]

10−43 10−42 10−41 10−40 10−39 10−38 10−37

σSD (DM-neutron) [cm2] gq = 0.25, gχ = 1.0

Axial Vector Mediator

LUX 2016 ATLAS monojet

1 10 102 103 104

Dark Matter mass mχ [GeV]

10−43 10−42 10−41 10−40 10−39 10−38 10−37

σSD (DM-proton) [cm2] gq = 0.25, gχ = 1.0

Axial Vector Mediator

L U X 2 1 6 PICO-2L ATLAS monojet

LHC mono-X searches

LAV = gχVµ χγµγ5χ + gqVµ X

q

qiγµγ5qi

slide-52
SLIDE 52

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’ 1 10 102 103 104

Dark Matter mass mχ [GeV]

10−43 10−42 10−41 10−40 10−39 10−38 10−37

σSD (DM-proton) [cm2] gq = 0.25, gχ = 1.0

Axial Vector Mediator

L U X 2 1 6 P I C O

  • 2

L ATLAS monojet ATLAS monojet (with running)

1 10 102 103 10−43 10−42

1 10 102 103 104

Dark Matter mass mχ [GeV]

10−43 10−42 10−41 10−40 10−39 10−38 10−37

σSD (DM-neutron) [cm2] gq = 0.25, gχ = 1.0

Axial Vector Mediator

L U X 2 1 6 ATLAS monojet ATLAS monojet (with running)

1 10 102 103 10−43 10−42

LHC mono-X searches

LAV = gχVµ χγµγ5χ + gqVµ X

q

qiγµγ5qi

slide-53
SLIDE 53

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Isospin violation

LAV = gχVµ χγµγ5χ + gqVµ X

q

qiγµγ5qi

10 102 103 104 105 Mediator mass mV [GeV] 0.0 0.5 1.0 1.5 2.0 2.5 σN

SD(with running)/σN SD(without running)

p r

  • t
  • n

neutron

Flavor universal: Quarks only ¯ χγµγ5χ ¯ fγµγ5f

C(N)

A

= gq 2 4 X

q=u,d,s

∆(N)

q

3 5 + 3gq 2π ⇣ ∆(N)

d

+ ∆(N)

s

− ∆(N)

u

⌘ [αt ln(mV /mZ) − αb ln(mV /µN)]

slide-54
SLIDE 54

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Other interactions

Goodman et al. [1008.1783]

Standard SI Standard SD

slide-55
SLIDE 55

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Other interactions

Goodman et al. [1008.1783]

slide-56
SLIDE 56

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Other interactions

Goodman et al. [1008.1783]

10 102 103 104 Dark Matter mass mχ [GeV] 1 10 102 103 104 105 106 Mediator mass mV [GeV] Flavor universal: Quarks only ¯ χγµχ ¯ fγµγ5f

LUX 2014 L Z p r

  • j

e c t e d

slide-57
SLIDE 57

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Caveats

If we add extra degrees of freedom, the phenomenology may be different

E.g. Jackson et al. [1303.4717]

May want to include mass and/or kinetic mixing of the mediator

Langacker [0801.1345]

LKM ∼ ✏ZµνV µν but we expect this to strengthen the limits In general, we need to worry about the UV completion (e.g. anomaly cancellation, Higgling of the U(1)’, etc.) But if we stick to the Simplified Model framework, our results are valid - and unavoidable!

slide-58
SLIDE 58

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Summary

Need to take into account separation of scales RGE (use runDM code) Low-E couplings changed and new operators induced limits on heavy mediators affected (sometimes by OoM!) Running is important for search complementarity

  • req. for translating LHC searches into DD plane

Isospin violation (factor of ~few) is automatic arising only from SM loops

slide-59
SLIDE 59

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Summary

Need to take into account separation of scales RGE (use runDM code) Low-E couplings changed and new operators induced limits on heavy mediators affected (sometimes by OoM!) Running is important for search complementarity

  • req. for translating LHC searches into DD plane

Isospin violation (factor of ~few) is automatic arising only from SM loops

YOU HAVE TO RUN!

slide-60
SLIDE 60

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Backup slides

slide-61
SLIDE 61

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Scalar Mediators

Crivellin, D’Eramo, Procura [1402.1173]

Interactions through a scalar mediator appear at dimension-7, with rates typically suppressed by the quark mass

Buckley et al. [1410.6497]

slide-62
SLIDE 62

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

Scalar mediator: 750 GeV

D’Eramo, de Vries, Panci [1601.01571]

Substantial RG effects!

slide-63
SLIDE 63

Bradley J Kavanagh (LPTHE & IPhT) King’s College London - 13th June 2016 ‘You Better Run’

The operator basis