{ "id": "1705.01633", "version": "v1", "published": "2017-05-03T21:27:39.000Z", "updated": "2017-05-03T21:27:39.000Z", "title": "Validity of the Weizsäcker-Williams Approximation and the Analysis of Beam Dump Experiments: Production of an axion, a dark photon, or a new axial-vector boson", "authors": [ "Yu-Sheng Liu", "Gerald A. Miller" ], "comment": "21 pages, 9 figures. arXiv admin note: substantial text overlap with arXiv:1609.06781", "categories": [ "hep-ph", "hep-ex", "nucl-ex", "nucl-th" ], "abstract": "Beam dump experiments have been used to search for new particles, $\\phi$, with null results interpreted in terms of limits on masses $m_\\phi$ and coupling constants $\\epsilon$. However these limits have been obtained by using approximations [including the Weizs\\\"{a}cker-Williams (WW) approximation] or Monte-Carlo simulations. We display methods to obtain the cross section and the resulting particle production rates without using approximations on the phase space integral or Monte-Carlo simulations. In our previous work we examined the case of the new scalar boson production; in this paper we explore all possible new spin-0 and spin-1 particles. We show that the approximations cannot be used to obtain accurate values of cross sections. The corresponding exclusion plots differ by substantial amounts when seen on a linear scale. Furthermore, a new region ($m_\\phi<2m_e$) of parameter space can be explored without using one of the common approximations, $m_\\phi\\gg m_e$. We derive new expressions for the three photon decays of dark photon and four photon decays of new axial-vector bosons. As a result, the production cross section and exclusion region of different low mass ($m_\\phi<2m_e$) bosons are very different. Moreover, our method can be used as a consistency check for Monte-Carlo simulations.", "revisions": [ { "version": "v1", "updated": "2017-05-03T21:27:39.000Z" } ], "analyses": { "keywords": [ "beam dump experiments", "axial-vector boson", "dark photon", "weizsäcker-williams approximation", "monte-carlo simulations" ], "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable" } } }