Critical exponents for the Lifshitz point:εexpansion

The critical exponents for the biaxial Lifshitz point ($m=2$) are calculated to leading order in ε=5-d. The new results are η₄=-8(n+2)ε²27(n+8)², βₖ=0.5+16(n+2)ε²27(n+8)², and η₂=4(n+2)ε²9(n+8)². Numerically, η₂ and η₄ are small but the corrections to βₖ are appreciable for ε=2.