Bayesian parameter estimation for effective field theories

Autor:	Wesolowski, S., Klco, N., Furnstahl, R. J., Phillips, D. R., Thapaliya, A.
Rok vydání:	2015
Předmět:	Nuclear Theory High Energy Physics - Phenomenology Nuclear Experiment Physics - Data Analysis Statistics and Probability
Druh dokumentu:	Working Paper
DOI:	10.1088/0954-3899/43/7/074001
Popis:	We present procedures based on Bayesian statistics for estimating, from data, the parameters of effective field theories (EFTs). The extraction of low-energy constants (LECs) is guided by theoretical expectations 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, including the extraction of LECs for the nucleon mass expansion in SU(2) chiral perturbation theory from synthetic lattice data. Comment: 40 pages, 40 figures. Final version to appear in JPhysG
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1511.03618 Zobrazit plný text záznamu View this record from Arxiv