### Abstract

We study the first-order finite-temperature electroweak phase transition of the SU(2) gauge-Higgs model defined on a four-dimensional isotropic lattice with the temporal extension N_{t}=2. A finite-size scaling study of Lee-Yang zeros yields the value of the Higgs self-coupling of the end point at λ_{c}=0.00116(16). An independent analysis of the Binder cumulant gives a consistent value for the end point. Combined with our zero-temperature measurement of Higgs and W boson masses, this leads to M_{H,c}=73.3±6.4 GeV for the critical Higgs boson mass beyond which the electroweak transition turns into a crossover.

Original language | English |
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Pages (from-to) | 1-8 |

Number of pages | 8 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 60 |

Issue number | 1 |

Publication status | Published - Jul 1 1999 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

**The end point of the first-order phase transition of the SU(2) gauge-Higgs model on a 4-dimensional isotropic lattice.** / Aoki, Y.; Csikor, F.; Fodor, Z.; Ukawa, A.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 60, no. 1, pp. 1-8.

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TY - JOUR

T1 - The end point of the first-order phase transition of the SU(2) gauge-Higgs model on a 4-dimensional isotropic lattice

AU - Aoki, Y.

AU - Csikor, F.

AU - Fodor, Z.

AU - Ukawa, A.

PY - 1999/7/1

Y1 - 1999/7/1

N2 - We study the first-order finite-temperature electroweak phase transition of the SU(2) gauge-Higgs model defined on a four-dimensional isotropic lattice with the temporal extension Nt=2. A finite-size scaling study of Lee-Yang zeros yields the value of the Higgs self-coupling of the end point at λc=0.00116(16). An independent analysis of the Binder cumulant gives a consistent value for the end point. Combined with our zero-temperature measurement of Higgs and W boson masses, this leads to MH,c=73.3±6.4 GeV for the critical Higgs boson mass beyond which the electroweak transition turns into a crossover.

AB - We study the first-order finite-temperature electroweak phase transition of the SU(2) gauge-Higgs model defined on a four-dimensional isotropic lattice with the temporal extension Nt=2. A finite-size scaling study of Lee-Yang zeros yields the value of the Higgs self-coupling of the end point at λc=0.00116(16). An independent analysis of the Binder cumulant gives a consistent value for the end point. Combined with our zero-temperature measurement of Higgs and W boson masses, this leads to MH,c=73.3±6.4 GeV for the critical Higgs boson mass beyond which the electroweak transition turns into a crossover.

UR - http://www.scopus.com/inward/record.url?scp=17044373134&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=17044373134&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:17044373134

VL - 60

SP - 1

EP - 8

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 1

ER -