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Pairing symmetries of iron-based superconductors are investigatedsystematically in a five-orbital model within the different regions ofinteraction parameters by functional renormalization group(FRG). Even for afixed Fermi surface with both hole and electron pockets, it is found thatdepending on interaction parameters, a variety of pairing symmetries, includingtwo types of $d$-wave and two types of $s$-wave pairing symmetries, can emerge.Only the $d_{x^2-y^2}$ and the $s\pm$ waves are robustly supported by thenearest-neighbor(NN) intra-orbital $J_1$ and the next-nearest-neighbor(NNN)intra-orbital $J_2$ antiferromagnetic(AFM) exchange couplings respectively.This study suggests that the accurate initial input of interaction parametersare essential to make FRG an useful method to determine the leading channel ofsuperconducting instability.

Relationship between Pairing Symmetries and Interaction Parameters in Iron-Based Superconductors from Functional Renormalization Group Calculations