Axion Dark Matter Search with Interferometric Gravitational Wave Detectors Ippei Obata (theory group, ICRR, University of Tokyo) arXiv:1903.02017 (to be published in PRL) Collaborators ： Koji Nagano (ICRR, KAGRA member) Tomohiro Fujita (Kyoto University, Geneva University) Yuta Michimura (University of Tokyo, KAGRA member) 2019.9.10 TAUP 1 / 17
<latexit sha1_base64="X8TUyTGzEyphurVJHrZ7uBf+enc=">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</latexit> <latexit sha1_base64="OVtWiG3tcWk+WMKFlxB0RnYhvo=">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</latexit> Search for Axion (DM) via Photon n Axion generically couples to photon via the topological term g a γ F µ ν = g a γ a E · B 4 aF µ ν ˜ a : axion γ : photon B : magnetic field n Axion is converted into photon under the background magnetic field (“axion-photon conversion”) 2 / 17
Search for Axion (DM) via Photon ADMX CAST 3 / 17
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sha1_base64="Gxsfk4VLN0N8oujVRMJEL7fM/XA=">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</latexit> Axion DM – Photon Interaction (without using a background magnetic field) F µ ν = ∂ µ A ν − ∂ ν A µ g a γ F µ ν = g a γ ˙ 4 aF µ ν ˜ aA i ✏ ijk @ j A k + (total derivative) ¨ A i � r 2 A i + g a γ ˙ EOM for photon : a ✏ ijk @ j A k = 0 , a ( t ) = a 0 cos( mt + � τ ) Axion DM : n Decomposing two circular polarized photons, we get A L / R L / R A L / R ¨ + ω 2 = 0 , k k 1 ± g a γ a 0 m L / R ≡ k 2 ⇣ ⌘ ω 2 sin( mt + δ τ ) k 4 / 17
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