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Connecting low-energy Dark Matter searches with high-energy physics: - - PowerPoint PPT Presentation

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Connecting low-energy Dark Matter searches with high-energy physics: the role of operator mixing Bradley J. Kavanagh - LPTHE (Paris) F. DEramo, B. J. Kavanagh , P. Panci, JHEP (2016) 2016: 111, arXiv:1605.04917 F. DEramo, B. J. Kavanagh , P.

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Bradley J. Kavanagh - LPTHE (Paris)

NewDark

@BradleyKavanagh bkavanagh@lpthe.jussieu.fr

IRN Terascale, Montpellier - 4th July 2017

Connecting low-energy Dark Matter searches with high-energy physics: the role of operator mixing

  • F. D’Eramo, B. J. Kavanagh, P. Panci, PLB 771 (2017) 339-348, arXiv:1702.00016
  • F. D’Eramo, B. J. Kavanagh, P. Panci, JHEP (2016) 2016: 111, arXiv:1605.04917
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Bradley J. Kavanagh - LPTHE (Paris)

NewDark

@BradleyKavanagh bkavanagh@lpthe.jussieu.fr

IRN Terascale, Montpellier - 4th July 2017

Complementarity of Dark Matter searches: Direct detection vs Indirect detection vs LHC

  • F. D’Eramo, B. J. Kavanagh, P. Panci, PLB 771 (2017) 339-348, arXiv:1702.00016
  • F. D’Eramo, B. J. Kavanagh, P. Panci, JHEP (2016) 2016: 111, arXiv:1605.04917
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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Collider searches Direct direction Indirect direction

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Collider searches Direct direction Indirect direction

E

mN mZ mV

UV this way

∼ 2mχ ∼ 1 GeV ∼ 10 TeV

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Connect scales carefully and consistently [RUNDM code] accounting for RG and operator mixing in the SM sector Gives corrections to direct detection bounds e.g. mapping from LHC to DD Gives bounds you never thought were there e.g. leptophilic DM

e.g.

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Outline RG effects in Simplified Models

Crivellin, D’Eramo, Procura [1402.1173]; D’Eramo, Procura [1411.3342]

Direct detection constraints on Simplified Models

D’Eramo, Procura [1411.3342]; D’Eramo, BJK, Panci [1605.04917]

Leptophilic Dark Matter

D’Eramo, BJK, Panci [1702.00016]

LHC vs Direct Detection

D’Eramo, BJK, Panci [1605.04917]

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Simplified Models

Review: De Simone, Jacques [1603.08002]

cχ cq EFT Simplified Model

mχ, Λ

cq, cχ, mχ, mV

For direct detection, momentum transfer is small, q ~ 100 MeV: EFT okay For colliders, momentum transfer is large, q ~ O(TeV): EFT may break down!

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

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Our Simplified Model L = LSM + LDM + LV + Jµ

DM Vµ + Jµ SM Vµ

Assume fermion Dark Matter and a new (massive) vector mediator

χ V

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Our Simplified Model L = LSM + LDM + LV + Jµ

DM Vµ + Jµ SM Vµ

Assume fermion Dark Matter and a new (massive) vector mediator

χ V

Jµ

DM = cχV χγµχ + cχAχγµγ5χ

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Our Simplified Model L = LSM + LDM + LV + Jµ

DM Vµ + Jµ SM Vµ

Assume fermion Dark Matter and a new (massive) vector mediator

χ V

Jµ

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

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Direct detection

Look for low energy - O(keV) - recoils of detector nuclei… mχ & 1 GeV v ∼ 10−3

χ N χ N

Detector

χ

Rate driven by coupling of DM to light quarks (u, d, s): χγµχ qγµq χγµγ5χ qγµγ5q χγµχ qγµγ5q χγµγ5χ qγµq

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Direct detection

Look for low energy - O(keV) - recoils of detector nuclei… mχ & 1 GeV v ∼ 10−3

χ N χ N

Detector

χ

Rate driven by coupling of DM to light quarks (u, d, s): χγµχ qγµq χγµγ5χ qγµγ5q χγµχ qγµγ5q χγµγ5χ qγµq Standard SI Standard SD

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Direct detection

Look for low energy - O(keV) - recoils of detector nuclei… mχ & 1 GeV v ∼ 10−3

χ N χ N

Detector

χ

Rate driven by coupling of DM to light quarks (u, d, s): χγµχ qγµq χγµγ5χ qγµγ5q χγµχ qγµγ5q χγµγ5χ qγµq Velocity suppressed

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

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’)

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

E

mN mZ mV

SMχ ⇠⇠ EW SMχ

D’Eramo, Procura [1411.3342]

NREFT Fix couplings at high energy (~mV)

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

E

mN mZ mV

SMχ ⇠⇠ EW SMχ

Integrate out vector mediator NREFT

D’Eramo, Procura [1411.3342]

Fix couplings at high energy (~mV)

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

E

mN mZ mV

SMχ ⇠⇠ EW SMχ

Integrate out vector mediator Run down to electroweak scale NREFT

D’Eramo, Procura [1411.3342]

Fix couplings at high energy (~mV)

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

E

mN mZ mV

SMχ ⇠⇠ EW SMχ

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

D’Eramo, Procura [1411.3342]

Fix couplings at high energy (~mV)

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

E

mN mZ mV

SMχ ⇠⇠ EW SMχ

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

Matching at EWSB

D’Eramo, Procura [1411.3342]

c(i)

V,A u = ±c(i) q

+ c(i)

u

2 + cH gV,A u c(i)

V,A d = ±c(i) q

+ c(i)

d

2 + cH gV,A d c(i)

V,A e = ±c(i) l

+ c(i)

e

2 + cH gV,A e Fix couplings at high energy (~mV)

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

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 NREFT

D’Eramo, Procura [1411.3342]

Fix couplings at high energy (~mV)

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

σ ∼ |c(mV )|2/m4

V

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]

Fix couplings at high energy (~mV)

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

RG 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

The running doesn’t depend on the properties of the Dark Sector.

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

RG 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

The running doesn’t depend on the properties of the Dark Sector.

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

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

runDM - a code for the RGE

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

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

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

LUX 2014 [1310.8214] LZ (projected) [1509.02910]

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

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

LUX 2014 [1310.8214] LZ (projected) [1509.02910]

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

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

LUX 2014 [1310.8214] LZ (projected) [1509.02910]

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Results II - quarks axial-vector

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

LEFT = − 1 m2

V

JDM µ

3

X

i=1

h uiγµγ5ui + diγµγ5dii

No running Running

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Aside: SM axial-vector current

JDM µ qγµγ5q

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Results II - quarks axial-vector

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)

LEFT = − 1 m2

V

JDM µ

3

X

i=1

h uiγµγ5ui + diγµγ5dii

No running Running

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Results II - quarks axial-vector

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

LEFT = − 1 m2

V

JDM µ

3

X

i=1

h uiγµγ5ui + diγµγ5dii

No running Running

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

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

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Results II - quarks axial-vector

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

LEFT = − 1 m2

V

JDM µ

3

X

i=1

h uiγµγ5ui + diγµγ5dii

No running Running

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Comparing LHC and Direct Detection

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

LHC mono-X searches

ATLAS [1604.07773]

LAV = gχVµ χγµγ5χ + gqVµ X

q

qiγµγ5qi

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

LHC mono-X searches

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

LAV = gχVµ χγµγ5χ + gqVµ X

q

qiγµγ5qi

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

LHC mono-X searches

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

LAV = gχVµ χγµγ5χ + gqVµ X

q

qiγµγ5qi

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Isospin violation

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)]

LAV = gχVµ χγµγ5χ + gqVµ X

q

qiγµγ5qi

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Other interactions

Goodman et al. [1008.1783]

Standard SI Standard SD

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Other interactions

Goodman et al. [1008.1783]

‘Velocity suppressed’

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

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

Comparing LHC and direct detection is not always straightforward!

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Leptophilic Dark Matter

D’Eramo, BJK, Panci [1702.00016]

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing 10 102 103 104 Dark Matter mass mχ [GeV] 1 10 102 103 104 105 106 Mediator mass mV [GeV] Flavor universal: Leptons only ¯ χγµχ ¯ fγµf

Leptophilic DM

Fox et al. [0811.0399], Kopp et al. [0907.3159], Bell et al. [1407.3001], Freitas & Westhoff [1408.1959], Chen et al. [1501.04486] and many others…

Couple Dark Matter only to SM leptons and evade many standard bounds…

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing 10 102 103 104 Dark Matter mass mχ [GeV] 1 10 102 103 104 105 106 Mediator mass mV [GeV] Flavor universal: Leptons only ¯ χγµχ ¯ fγµf

LUX 2014 L Z p r

  • j

e c t e d

Leptophilic DM

Fox et al. [0811.0399], Kopp et al. [0907.3159], Bell et al. [1407.3001], Freitas & Westhoff [1408.1959], Chen et al. [1501.04486] and many others…

Couple Dark Matter only to SM leptons and evade many standard bounds…unless you account for operator mixing!

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

LEP-II

Strong constraints on leptophilic DM come from LEP-II [hep-ex/0312023] Constraints on 4-fermion interaction bounds mediator mass to be greater than 3-4 TeV We focus on the case where DM couples only to either the muon or tau, at some high scale …

ΛUV = 10 TeV

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Leptophilic: vector-vector

  • χ []

[]

NB: no tree- level coupling to electrons

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

  • χ []

[]

Leptophilic: (vector) - (vector)

NB: no tree- level coupling to electrons

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Loop-induced LEP-II constraints

Still get an extra contribution to 4-fermion interactions even if we don’t couple to electrons at tree-level

ee

Mediator mass constrained to be larger than ~300 GeV. Calculate loop contribution using RUNDM

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

  • χ []

[]

Leptophilic: (vector) - (vector)

NB: no tree- level coupling to electrons

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

  • χ []

[]

Leptophilic: (vector) - (axial vector)

Kahlhoefer et al. [1510.02110]

NB: no tree- level coupling to electrons

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SLIDE 51

Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

  • χ []

[]

Leptophilic: (vector) - (axial vector)

NB: no tree- level coupling to electrons

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SLIDE 52

Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Loop-induced LHC constraints

Strongest constraints come from dilepton resonance searches Also get constraints from monophoton [1103.0240] and 4-lepton searches [1403.5657]

σpp→l+l− = π BRV →l+l− 3s

  • q

Cq¯

q(m2 V /s)

  • g2

V q + g2 Aq

  • gq(µ) ∝ αY

π

  • l=e,µ,τ

gV l

  • log (ΛUV/µ)
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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

  • χ []

[]

Leptophilic: (vector) - (axial vector)

NB: no tree- level coupling to electrons

mV 700 GeV

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SLIDE 54

Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Leptophilic: (axial vector) - (vector)

  • χ []

[]

NB: no tree- level coupling to electrons

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SLIDE 55

Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Aside: DM-electron scattering

[1608.08632]

Constraints on 4-fermion interaction from LEP-II requires mediator mass to be greater than ~ 3 TeV for O(1) couplings to electrons

σe ∼ µ2

χe

π 1 m4

V

σe 10−49 cm2

DM-electron scattering implies electron-electron scattering… for tree-level coupling to electrons…

σe 10−46 cm2

for loop-level coupling to electrons…

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Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Summary

  • Need to carefully connect Dark Matter searches at different

energy scales

  • Depends only on SM loops - you have to run!
  • Can be done consistently with RUNDM code (tinyurl.com/runDM1)
  • Leads to bounds where you weren’t expecting them
  • Important for understanding complementarity between

direct detection and LHC searches (esp. isospin violation)

  • In leptophilic models, operator mixing means that hadronic

constraints can be the strongest!

slide-57
SLIDE 57

Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Summary

  • Need to carefully connect Dark Matter searches at different

energy scales

  • Depends only on SM loops - you have to run!
  • Can be done consistently with RUNDM code (tinyurl.com/runDM1)
  • Leads to bounds where you weren’t expecting them
  • Important for understanding complementarity between

direct detection and LHC searches (esp. isospin violation)

  • In leptophilic models, operator mixing means that hadronic

constraints can be the strongest!

Thank you!

slide-58
SLIDE 58

Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Backup slides

slide-59
SLIDE 59

Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

Scalar Mediator

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-60
SLIDE 60

Bradley J Kavanagh (LPTHE, Paris) IRN Terascale@Montpellier - 4th July 2017 Dark Matter - operator mixing

A 750 GeV Scalar Mediator

D’Eramo, de Vries, Panci [1601.01571]

Substantial RG effects!

750 GeV Resonance Rest In Peace 2015-2016