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We determine the critical exponents for the XY universality class in threedimensions, which is expected to describe the $\lambda$-transition in ${}^4$He.They are obtained from the analysis of high-temperature series computed for atwo-component $\lambda\phi^4$ model. The parameter $\lambda$ is fixed such thatthe leading corrections to scaling vanish. We obtain $\nu = 0.67166(55)$,$\gamma = 1.3179(11)$, $\alpha=-0.0150(17)$. These estimates improve previoustheoretical determinations and agree with the more precise experimental resultsfor liquid Helium.Comment: 8 pages, revte

physical review. b, condensed matter

Determination of the critical exponents for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>λ</mml:mi></mml:math>transition of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:math>by high-temperature expansion

Determination of the critical exponents for theλtransition of4Heby high-temperature expansion