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Momentum dependence of the single-particle self-energy and fluctuation spectrum of slightly underdoped<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mtext>Bi</mml:mtext></mml:mrow><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mrow><mml:mtext>Sr</mml:mtext></mml:mrow><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mrow><mml:mtext>CaCu</mml:mtext></mml:mrow><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mtext>O</mml:mtext><mml:mrow><mml:mn>8</…
We deduce the normal state angle-resolved single-particle self-energy $\Sigma(\theta, \omega)$ and the Eliashberg function (i.e., the product of the fluctuation spectrum and its coupling to fermions) $\alpha^2 F(\theta,\omega)$ for the high temperature superconductor Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ from the ultra high resolution laser angle-resolved photoemission spectroscopy (ARPES). The self-energy $\Sigma(\theta, \omega)$ at energy …