'You Better Run' Connecting low-energy Dark Matter searches with high-energy physics Bradley J. Kavanagh LPTHE & IPhT (CEA/Saclay) King’s College London - 13th June 2016 bradley.kavanagh@lpthe.jussieu.fr @BradleyKavanagh NewDark
Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
UV this way E Collider searches m V ∼ 10 TeV m Z m N Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
UV this way E Collider searches m V ∼ 10 TeV m Z m N Direct direction ∼ 1 GeV Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
UV this way E Collider searches m V ∼ 10 TeV m Z m N Direct direction ∼ 1 GeV Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
UV this way E m V m Z m N Direct direction ∼ 1 GeV Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
Comparing different searches ATLAS [1604.07773] Zemeckis, Hanks (1994) Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
Outline Simplified Models De Simone, Jacques [1603.08002] 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] Comparing DD and LHC searches D’Eramo, BJK, Panci [1605.04917] Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
Simplified Models Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
Effective Field Theory Assume mass of mediator is much larger than momentum transfer integrate out mediator to obtain a contact interaction Goodman et al. [1008.1783] Only have to deal with two parameters: m χ , Λ Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
Limits on EFT ATLAS [1502.01518] Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
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] Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
Simplified Models to the rescue Review: De Simone, Jacques [1603.08002] c q c χ ATLAS [1604.07773] Now have to deal with more parameters: c q , c χ , m χ , m V Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
Our Simplified Model Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
Vector mediator simplified model L = L SM + L DM + L V + J µ DM V µ + J µ SM V µ Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
Vector mediator simplified model L = L SM + L DM + L V + J µ DM V µ + J µ SM V µ ( | ∂ µ φ | 2 − m 2 φ | φ | 2 complex scalar DM L DM ∼ � i/ � ∂ − m χ χ χ fermion DM Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
Vector mediator simplified model L = L SM + L DM + L V + J µ DM V µ + J µ SM V µ L V = − 1 4 V µ ν V µ ν + 1 2 m 2 V V µ V µ Massive spin-1 mediator V Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
Vector mediator simplified model L = L SM + L DM + L V + J µ DM V µ + J µ SM V µ c φ φ † ← → ⇢ ∂ µ φ complex scalar DM J µ DM ∼ c χ V χγ µ χ + c χ A χγ µ γ 5 χ fermion DM Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
Vector mediator simplified model L = L SM + L DM + L V + J µ DM V µ + J µ SM V µ 3 h i R + c ( i ) R + c ( i ) J µ X c ( i ) L + c ( i ) L + c ( i ) L γ µ q i R γ µ u i R γ µ d i L γ µ l i R γ µ e i q i u u i d i l i e i SM = q e R d l i =1 15 independent, SU(2) L x U(1) Y gauge-invariant couplings Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
Calculating the direct detection rate Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
Direct detection DM m χ & 1 GeV v ∼ 10 − 3 Look for low energy - O(keV) - recoils of detector nuclei Rate driven by coupling of DM to light quarks (u, d, s): χγ µ χ q γ µ γ 5 q χγ µ χ q γ µ q χγ µ γ 5 χ q γ µ γ 5 q χγ µ γ 5 χ q γ µ q Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
Direct detection DM m χ & 1 GeV v ∼ 10 − 3 Look for low energy - O(keV) - recoils of detector nuclei Rate driven by coupling of DM to light quarks (u, d, s): χγ µ χ q γ µ γ 5 q χγ µ χ q γ µ q Standard SI χγ µ γ 5 χ q γ µ γ 5 q Standard SD χγ µ γ 5 χ q γ µ q Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
Connecting high and low scales Define couplings at high energy scale (mediator mass), but need to calculate direct detection rate at low energy Running can change the DD rate by orders of magnitude. Examples in specific models: Kopp et al. [0907.3159], Frandsen et al. [1207.3971], Haisch, Kahlhoefer [1302.4454], Kopp et al. [1401.6457], Crivellin, Haisch [1408.5046] • Use EFT techniques and RG flow to study the effects for general interactions • Include all relevant DD interactions (not just naive ‘leading order’) Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
E m V SM χ m Z EW SM χ ⇠⇠ m N NREFT D’Eramo, Procura [1411.3342] Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
E Integrate out vector mediator m V SM χ m Z EW SM χ ⇠⇠ m N NREFT D’Eramo, Procura [1411.3342] Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
E Integrate out vector mediator m V Matching at EWSB V,A u = ± c ( i ) + c ( i ) SM χ c ( i ) q u 2 V,A d = ± c ( i ) + c ( i ) m Z q c ( i ) d 2 V,A e = ± c ( i ) + c ( i ) c ( i ) e l EW SM χ ⇠⇠ 2 m N NREFT D’Eramo, Procura [1411.3342] Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
E Integrate out vector mediator m V Run down to electroweak scale SM χ m Z EW SM χ ⇠⇠ m N NREFT D’Eramo, Procura [1411.3342] Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
E Integrate out vector mediator m V Run down to electroweak scale SM χ Match onto EW-broken theory m Z EW SM χ ⇠⇠ m N NREFT D’Eramo, Procura [1411.3342] Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
E Integrate out vector mediator m V Run down to electroweak scale SM χ Match onto EW-broken theory m Z EW SM χ Run down to nuclear scale ⇠⇠ m N NREFT D’Eramo, Procura [1411.3342] Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
E Integrate out vector mediator m V Run down to electroweak scale SM χ Match onto EW-broken theory m Z EW SM χ Run down to nuclear scale ⇠⇠ Match onto nucleon couplings m N NREFT Calculate direct detection rate D’Eramo, Procura [1411.3342] Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
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 Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
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 The running doesn’t depend on the properties of the Dark Sector. Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
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. ! N U R O T E V A H U O Y Self-renormalisation Operator mixing The running doesn’t depend on the properties of the Dark Sector. Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
runDM - a code for the RGE Mathematica and Python versions available at: https://github.com/bradkav/runDM/ Bradley J Kavanagh (LPTHE & IPhT) ‘You Better Run’ King’s College London - 13th June 2016
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