Probing hidden sectors with a muon beam: Total and differential cross sections for vector boson production in muon bremsstrahlung
Abstract
Vector bosons, such as dark photon A' or Z', can couple to muons and be produced in the bremsstrahlung reaction μ-+N →μ-+N +A'(Z'). Their possible subsequent invisible decay can be detected in fixed target experiments through missing energy/momentum signature. In such experiments, not only is the energy transfer to A'(Z') important but also the recoil muon angle ψμ'. In this paper, we derive the total and the double differential cross sections involved in this process using the phase space Weizsäcker-Williams and improved Weizsäcker-Williams approximations, as well as using exact-tree-level calculations. As an example, we compare the derived cross sections and resulting signal yields in the NA 64 μ experiment that uses a 160 GeV muon beam at the CERN Super Proton Synchrotron accelerator. We also discuss its impact on the NA 64 μ expected sensitivity to explore the (g -2 )μ anomaly favored region with a Z' boson considering 1012 muons accumulated on target.
- Publication:
-
Physical Review D
- Pub Date:
- October 2021
- DOI:
- 10.1103/PhysRevD.104.076012
- arXiv:
- arXiv:2107.13297
- Bibcode:
- 2021PhRvD.104g6012K
- Keywords:
-
- High Energy Physics - Phenomenology;
- High Energy Physics - Experiment
- E-Print:
- doi:10.1103/PhysRevD.104.076012