Standard model anatomy of WIMP dark matter direct detection. I. Weak-scale matching

Abstract

We present formalism necessary to determine weak-scale matching coefficients in the computation of scattering cross sections for putative dark matter candidates interacting with the Standard Model. Particular attention is paid to the heavy-particle limit. A consistent renormalization scheme in the presence of nontrivial residual masses is implemented. Two-loop diagrams appearing in the matching to gluon operators are evaluated. Details are given for the computation of matching coefficients in the universal limit of WIMP-nucleon scattering for pure states of arbitrary quantum numbers, and for singlet-doublet and doublet-triplet mixed states.

Measurement of beauty and charm production in deep inelastic scattering at HERA and measurement of the beauty-quark mass

“…The computation is rather involved, due to subtle cancellations which occur between different operators (notably contributing to the 1-loop diagrams, which makes the inclusion of 2-loops necessary). It has been discussed over the years in [6,21,[68][69][70][71][72][73][74][75]. The most recent explicit computation, reported in [74] and based on [75], is performed in the framework of the 'heavy WIMP effective theory' and therefore assumes m W , m h M χ .…”

Majorana dark matter through the Higgs portal under the vacuum stability lamppost

“…The scalar spin-independent form factors, f (p,n) Sq , are proportional to the matrix element, qq , of quarks in a nucleon. Herein we take [50] …”

“…(47), (48), (49) and (50). To ensure perturbativity of f between the TeV scale and the Planck scale we find from (51),…”

Indirect and direct detection prospect for TeV dark matter in the nine parameter MSSM

“…Figure 3 shows the most probable regions plotted for the annihilation cross section and the spin-independent scattering cross section σ SI p at tree level. To give a reference of the size of σ SI p for pure cases, we also show Higgsino neutralino (cyan diamond) and Wino neutralino (blue triangle) one-loop computation performed by [84,85]. 2 In the pure Higgsino case, the perturbative QCD and hadronic input 1σ-uncertainties only allow us to set a maximum value for σ SI p , which is represented in the figure by an arrow.…”