%0 Generic %1 Wesolowski2015Bayesian %A Wesolowski, S. %A Klco, N. %A Furnstahl, R. J. %A Phillips, D. R. %A Thapaliya, A. %D 2015 %K statistics %T Bayesian parameter estimation for effective field theories %U http://arxiv.org/abs/1511.03618 %X We present procedures based on Bayesian statistics for effective field theory (EFT) parameter estimation from data. The extraction of low-energy constants (LECs) is guided by theoretical expectations that supplement such information in a quantifiable way through the specification of Bayesian priors. A prior for natural-sized LECs reduces the possibility of overfitting, and leads to a consistent accounting of different sources of uncertainty. A set of diagnostic tools are developed that analyze the fit and ensure that the priors do not bias the EFT parameter estimation. The procedures are illustrated using representative model problems and the extraction of LECs for the nucleon mass expansion in SU(2) chiral perturbation theory from synthetic lattice data.

@misc{Wesolowski2015Bayesian, abstract = {{We present procedures based on Bayesian statistics for effective field theory (EFT) parameter estimation from data. The extraction of low-energy constants (LECs) is guided by theoretical expectations that supplement such information in a quantifiable way through the specification of Bayesian priors. A prior for natural-sized LECs reduces the possibility of overfitting, and leads to a consistent accounting of different sources of uncertainty. A set of diagnostic tools are developed that analyze the fit and ensure that the priors do not bias the EFT parameter estimation. The procedures are illustrated using representative model problems and the extraction of LECs for the nucleon mass expansion in SU(2) chiral perturbation theory from synthetic lattice data.}}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Wesolowski, S. and Klco, N. and Furnstahl, R. J. and Phillips, D. R. and Thapaliya, A.}, biburl = {https://www.bibsonomy.org/bibtex/21f9e8fa586e7648fd773c556e07c649e/cmcneile}, citeulike-article-id = {13836361}, citeulike-linkout-0 = {http://arxiv.org/abs/1511.03618}, citeulike-linkout-1 = {http://arxiv.org/pdf/1511.03618}, day = 11, eprint = {1511.03618}, interhash = {586159a9924751f86679f2c06fb045ce}, intrahash = {1f9e8fa586e7648fd773c556e07c649e}, keywords = {statistics}, month = nov, posted-at = {2015-11-12 10:06:40}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{Bayesian parameter estimation for effective field theories}}, url = {http://arxiv.org/abs/1511.03618}, year = 2015 }