Goal - create a short document recommending:

1) How to present effective direct detection cross section limits from monojet (or mono-anything) searches while making clear the limits of the effective theory and the role of a light mediator mass.

2) What is the most useful set of operators to present results for, and how can the results be presented to be most useful for recasting to a full model.

Interested people:

Goal - determine the best set of cuts to study ISR + MET final states for single insertions of effective Dark Matter operators (for example, the Harnik et. al. razor recast)

Interested people:

Goal - in the region where monojet constraints allow fairly large couplings of mediators, are there other unexplored channels to look in? Possible examples:

• Dijet resonance
• Dijet resonance + missing energy
• t-channnel mediator pair production through light DM exchange
• Di-top resonance or di-vector-like-quark resonance for gluon operator

Should we tie this in with paired resonances working group?

Interested people:

Goal - the monojet searches at the LHC are currently reinterpreted (in a simple effective model with one mediator and one DM particle) in terms of dark matter scattering cross-sections with matter, as in direct detection experiments. Can we set also limits on indirect detection (gamma, proton, anti-proton spectra)? And can we deduce a lower limit on the relic density? Additional questions:

• which effective models are the most strongly constrained?
• what if more than one mediator/operator is present?
• which models are interesting?
• can we reinterpret the DM direct search results in terms of LHC cross-section?

Interested people:

Questions:

• Reference masses for DM on mediator plots (Why 50 and 500? Why not 5 GeV)
• Experimental limits on more effective operators (including interesting flavor structures?)
• Is there a convention for plots that makes clear the limited validity of the effective theory?
• Does anything change for t-channel mediators?
• What extensions beyond monojet/monophoton searches can set stronger limits on effective operators? E.g. production in association with 3rd generation (e.g. http://xxx.lanl.gov/abs/1303.6638v1), Z/leptons + MET (e.g. http://arxiv.org/abs/1212.3352), …
• What can shape/variable analyses add to the sensitivity of these searches? (e.g. the Razor analysis in http://arxiv.org/abs/arXiv:1203.1662)

References:

LHC limits:

• ATLAS 8 TeV monojet http://cdsweb.cern.ch/record/1493486
• CMS 8 TeV monojet http://cds.cern.ch/record/1525585?ln=en (figs. 8 and 9 were shown in organizing meeting)
• …

Effective DM theory:

• Fox et. al. http://arxiv.org/abs/1109.4398v1 (the key to understanding the plots in the CMS paper!)
• Tait et. al. http://arxiv.org/abs/1108.1196
• …

Mediator production:

• Dijet resonances: An et al. http://arxiv.org/abs/1202.2894v1
• Associated production: An et al. http://arxiv.org/abs/1212.2221
• and references therein

• How can limits easily be translated to models with multiple mediators / multiple effective operators?
• How can the relevance (or irrelevance) of effective operator limits to full models like SUSY best be expressed?
• What DM-motivated searches can not be expressed in an effective operators / single mediator picture?

$\sigma_{LHC}(pp \to \chi \bar{\chi} +X)\sim \left|\frac{g_q g_\chi E}{(s-M_X^2)+iM_X\Gamma_X/2}\right|^2 \sim \frac{1}{\Lambda^4}$
where $E$ is of order the partonic center-of-mass energy.
Two regions to study/search

• $M_X >> M_\chi, E_{cut}$
• $M_X \ge M_\chi, E_{cut}$