Here, we report a measurement scheme for determining an absorption profile with an accuracy imposed solely by photon shot noise. We demonstrate the power of this technique by measuring the absorption of cesium vapor with an uncertainty at the 2-ppm level. This extremely high signal-to-noise ratio allows us to directly observe the homogeneous line-shape component of the spectral profile, even in the presence of Doppler broadening, by measuring the spectral profile at a frequency detuning more than 200 natural linewidths from the line center. We then use this tool to discover an optically induced broadening process that is quite distinct from the well-known power broadening phenomenon. The recent development of the optical frequency comb [1,2] has delivered a powerful new tool for absorption spectroscopy. The frequency comb allows us to determine the optical frequency of spectral features to astonishing new levels, which has paved the way for intriguing laboratory-scale tests of fundamental physics [3] as well as exciting applications in a wide variety of fields, including frequency metrology [1,4], direct optical frequency comb spectroscopy [5][6][7], and trace gas detection [8,9]. High-quality frequency measurement, however, represents only half the story. Many spectroscopic applications also demand absorbance measurements of high precision and accuracy in order to reveal subtle features of the spectral line shape. This requirement is of particular concern to the fields of precision line-shape measurement [10,11], precision line-shape analysis [12], and Doppler thermometry [13][14][15][16].The conventional quantum limit for precision in laser absorption spectroscopy (LAS) is set by shot noise of the probing light. In practice, though, this performance level has been exceedingly difficult to achieve because technical noise and instrumental limitations usually mask this quantum limit. These technical limitations are particularly acute for LAS because it is inherently a bright field [17] measurement; i.e., the absorbance is encoded in the ratio of two measurements of the incident and transmitted power. If one wishes to build a highly sensitive and accurate tool for probing optical absorbance, then there are three key challenges to overcome: First, one needs to suppress technical noise sources, which are usually much larger than fundamental sources; second, the resolution of the measurement can be limited because most of the dynamic range of the sensor is consumed in measuring small changes of relatively large signals; and third, the measurement technique needs to be inherently linear.