@Article{Kirpichnikov_etal2021, author="Kirpichnikov, D. V. and Sieber, H. and Molina Bueno, L. and Crivelli, P. and Kirsanov, M. M.", title="Probing hidden sectors with a muon beam: Total and differential cross sections for vector boson production in muon bremsstrahlung", journal="Physical Review D", year="2021", publisher="Amer Physical Soc", volume="104", number="7", pages="076012--13pp", abstract="Vector bosons, such as dark photon A{\textquoteright} or Z{\textquoteright}, can couple to muons and be produced in the bremsstrahlung reaction mu(-) + N -> mu(-) + N + A{\textquoteright}(Z{\textquoteright}). 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{\textquoteright}(Z{\textquoteright}) important but also the recoil muon angle psi $\mu$0. In this paper, we derive the total and the double differential cross sections involved in this process using the phase space Weizsacker-Williams and improved Weizsacker-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 NA64 $\mu$experiment that uses a 160 GeV muon beam at the CERN Super Proton Synchrotron accelerator. We also discuss its impact on the NA64 $\mu$expected sensitivity to explore the (g -- 2)(mu) anomaly favored region with a Z{\textquoteright} boson considering 10(12) muons accumulated on target.", optnote="WOS:000707478200010", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=5008), last updated on Fri, 06 May 2022 12:25:55 +0000", issn="2470-0010", doi="10.1103/PhysRevD.104.076012", opturl="https://arxiv.org/abs/2107.13297", opturl="https://doi.org/10.1103/PhysRevD.104.076012", language="English" }