For a Vector Boson DM, I have the following spin-independent direct detection (scattering) cross-section with nucleus (please see the attahced file), where n_n and n_p are the number of nucleons inside the nucleus and f_p, f_n are the effective nucleon-DM coupling, M_T is the mass of target nucleus and M is the DM mass. How do I convert it to per nucleon cross-section, what will be the final expression? Thank you.
Dark Matter is the modern equivalence to simple additive thinking [see my earlier soul response]. Einstein's theory does not agree with observations so ADD a missing ingredient to his equations (i.e. 'dark' energy or matter).
Rather, the whole theory is WRONG, so go seek a totally new theory.
Thank you so much but that doesn't answer my question. If you have any answer/suggestion regarding the question, post that, otherwise don't.
Dear Basabendu,
The answers you are seeking on DM-Nucleon scattering cross sections have been exhaustively discussed in Appendix B of arXiv:1404.0022 for tree-level scatterings in the s-channel and t-channel.. The cross sections have been derived for different types of DM candidates: real scalar, complex scalar, Majorana fermion, Dirac fermion, and Vector type DM etc. Also different cases of mediators (like the Higgs scalar having spin zero in your formula } have been considered exhaustively. I presume your formula is a limiting case of generalised formulas given there . Also other simpliflified formulas in limiting cases are given.
All the best
Mina Ketan
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