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On the two-loop contributions to the pion mass
2007
Journal of High Energy Physics
We derive a simplified representation for the pion mass to two loops in three-flavour chiral perturbation theory. For this purpose, we first determine the reduced expressions for the tensorial two-loop 2-point sunset integrals arising in chiral perturbation theory calculations. Making use of those relations, we obtain the expression for the pion mass in terms of the minimal set of master integrals. On the basis of known results for these, we arrive at an explicit analytic representation, up to
doi:10.1088/1126-6708/2007/09/065
fatcat:5rup4pgg3vhrzpzdj6myjg6c5m