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We study the thermodynamics of the electroweak theory at a finite leptonnumber density. The phase diagram of the theory is calculated by relating thefull 4-dimensional theory to a 3-dimensional effective theory which has beenpreviously solved using nonperturbative methods. It is seen that the criticaltemperature increases and the value of the Higgs boson mass at which the firstorder phase transition line ends decreases with increasing leptonic chemicalpotential.Comment: 16 pages, 14 figures, RevTex4, v2: references added, minor  corrections, v3: small changes, references added, published in Phys. Rev.

Electroweak phase diagram at finite lepton number density