Evaluation of modern<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">He</mml:mi><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>(<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>γ</mml:mi></mml:mrow></mml:math>)<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Be</mml:mi><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>7</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>data

In both the Sun and the early universe, the $^{3}\mathrm{He}$($\ensuremath{\alpha}$, $\ensuremath{\gamma}$)$^{7}\mathrm{Be}$ reaction plays a key role. The rate of this reaction is the least certain nuclear input needed to calculate both the primordial $^{7}\mathrm{Li}$ abundance in big-bang nucleosynthesis and the solar neutrino flux. Taking advantage of several recent highly precise experiments, we analyze modern $^{3}\mathrm{He}$($\ensuremath{\alpha}$, $\ensuremath{\gamma}$)$^{7}\mathrm{Be}$ data using a robust and minimally model-dependent approach capable of handling discrepant data sets dominated by systematic rather than statistical errors. We find ${S}_{34}(0)=0.580\ifmmode\pm\else\textpm\fi{}0.043(0.054)$ keV b at the 68.3(95.4)% confidence level.

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