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This paper presents a low noise amplifier for large arrays of siliconphotomultipliers (SiPMs) operated in cryogenic environments, especially liquidargon (87 K) and liquid nitrogen (77 K). The goal is for one amplifier to readout a total photosensitive surface of tens of cm$^2$ while retaining thecapability to resolve single photoelectron signals. Due to the largecapacitance of SiPMs, typically a few nF per cm$^2$, the main contributor tonoise is the series (voltage) component. A silicon-germanium heterojunctionbipolar transistor (HBT) was selected as the input device of the cryogenicamplifier, followed by a fully differential operational amplifier, operated inan unconventional feedback configuration. The input referred voltage noise ofthe circuit at 77 K is just below 0.4 nV/$\surd$Hz white (above 100 kHz) and 1nV/$\surd$Hz at 10 kHz. The value of the base spreading resistance of the HBTat 77 K was determined from noise measurements at different bias currents.Power consumption of the full circuit is about 2.5 mW. The design gives theflexibility to optimally compensate the feedback loop for different values ofthe input capacitance, and obtain a gain-bandwidth product in the GHz range.The signal-to-noise ratio obtained in reading out SiPMs is discussed for thecase of a 300 kHz low pass filter and compared with the upper limit that wouldderive from applying optimum filtering algorithms.

A low noise and low power cryogenic amplifier for single photoelectron sensitivity with large arrays of SiPMs