QCD Analysis and Hadronic Matrix Elements
Estimating the correct order of magnitude of scattering cross sections in many simple and motivated models of dark matter requires careful treatment of competing Standard Model contributions in weak-scale matching, and of QCD corrections when passing from a theory renormalized at the electroweak scale to a low-energy theory of quarks and gluons. In the previous chapter, we focused on weak-scale matching conditions necessary for robustly computing WIMP-nucleon interactions, both in specified UV completions involving electroweak-charged DM, and in the model-independent heavy WIMP limit. In this chapter, we tackle the remaining analysis below the weak scale, applicable to a broad class of theories, independent of assuming a particular UV model or the heavy WIMP limit. Although we focus here on the analysis for the effective theory given in Eq. ( 3.69), it is straightforward to consider an extended basis of operators relevant for other scenarios, e.g., χ that is not self-conjugate.
- 41.D. Espriu, R. Tarrach, Z. Phys. C 16, 77 (1982)Google Scholar
- 47.W. Freeman et al., [MILC Collaboration], Phys. Rev. D 88, 054503 (2013)Google Scholar
- 69.T. Inami, T. Kubota, Y. Okada, Z. Phys. C 18, 69–80 (1983)Google Scholar
- 82.S.A. Larin, Phys. Lett. B 303, 113 (1993) [and references therein]Google Scholar