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

Abstract

Beam dump experiments have been used to search for new particles, $\varphi$, with null results interpreted in terms of limits on masses $m_{\varphi }$ and coupling constants $\epsilon$. However these limits have been obtained by using approximations [including the Weizsäcker-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 ($m_{\varphi }<2m_e$) of parameter space can be explored without using one of the common approximations, $m_{\varphi }\gg m_e$. 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 ($m_{\varphi }<2m_e$) bosons are very different. Moreover, our method can be used as a consistency check for Monte-Carlo simulations.

21 pages, 9 figures. arXiv admin note: substantial text overlap with arXiv:1609.06781

References in corpus (8)

• Secluded U(1) below the weak scale
• New Fixed-Target Experiments to Search for Dark Gauge Forces
• New determination of the fine structure constant and test of the quantum electrodynamics
• Bosonic super-WIMPs as keV-scale dark matter
• New Limits on Hidden Photons from Past Electron Beam Dumps
• Testing GeV-Scale Dark Matter with Fixed-Target Missing Momentum Experiments
• The Validity of the Weizsacker-Williams Approximation and the Analysis of Beam Dump Experiments: Production of a New Scalar Boson
• Phase space analysis for three and four massive particles in final states

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