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Extraction of the Baryon Acoustic Oscillations (BAO) to percent levelaccuracy is challenging and demands an understanding of many potentialsystematic to an accuracy well below 1 per cent, in order ensure that they donot combine significantly when compared to statistical error of the BAOmeasurement. Sloan Digital Sky Survey (SDSS)-III Baryon OscillationSpectroscopic Survey (BOSS) SDSS Data Release Eleven (DR11) reaches a distancemeasurement with $\sim 1\%$ statistical error and this prompts an extensivesearch for all possible sub-percent level systematic errors which could besafely ignored previously. In this paper, we analyze the potential systematicsin BAO fitting methodology using mocks and data from BOSS DR10 and DR11. Wedemonstrate the robustness of the fiducial multipole fitting methodology to beat $0.1\%-0.2\%$ level with a wide range of tests in mock galaxy catalogs pre-and post-reconstruction. We also find the DR10 and DR11 data from BOSS to berobust against changes in methodology at similar level. This systematic errorbudget is incorporated into the the error budget of Baryon OscillationSpectroscopic Survey (BOSS) DR10 and DR11 BAO measurements. Of the wide rangeof changes we have investigated, we find that when fitting pre-reconstructeddata or mocks, the following changes have the largest effect on the best fitvalues of distance measurements both parallel and perpendicular to the line ofsight: (a) Changes in non-linear correlation function template; (b) Changes infitting range of the correlation function; (c) Changes to the non-lineardamping model parameters. The priors applied do not matter in the estimates ofthe fitted errors as long as we restrict ourselves to physically meaningfulfitting regions.[abridged]

SDSS-III Baryon Oscillation Spectroscopic Survey: Analysis of Potential Systematics in Fitting of Baryon Acoustic Feature