Skip to Main Content

Access Provided by Xinjiang University

Physical Review D

Access by Xinjiang University

Anthropic tuning of the weak scale and of $m_{u} / m_{d}$ in two-Higgs-doublet models

S. M. Barr and Almas Khan

Bartol Research Institute, University of Delaware, Newark, Delaware 19716, USA

Phys. Rev. D 76, 045002 – Published 6 August, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.045002

Abstract

It is shown that, in a model in which up-type and down-type fermions acquire mass from different Higgs doublets, the anthropic tuning of the Higgs mass parameters can explain the fact that the observed masses of the $d$ and $u$ quarks are nearly the same with $d$ slightly heavier. If Yukawa couplings are assumed not to scan (vary among domains), this would also help explain why $t$ is much heavier than $b$ . It is also pointed out that the existence of dark matter invalidates some earlier anthropic arguments against the viability of domains where the standard model Higgs has positive $μ^{2}$ , but makes other even stronger arguments possible.

Article Text

References (10)

V. Agrawal, S. M. Barr, J. F. Donoghue, and D. Seckel, Phys. Rev. D 57, 5480 (1998); Phys. Rev. Lett. 80, 1822 (1998).
C. Hogan, Rev. Mod. Phys. 72, 1149 (2000); S. Weinberg, in Universe or Multiuniverse?, edited by B. Carr (Cambridge University Press, Cambridge, England, 2006).
R. D. Peccei and H. R. Quinn, Phys. Rev. Lett. 38, 1440 (1977).
M. A. B. Beg and H.-S. Tsao, Phys. Rev. Lett. 41, 278 (1978); R. N. Mohapatra G. Senjanovicand , Phys. Lett. 79B, 283 (1978); H. Georgi, Hadronic J. 1, 155 (1978).
S. L. Glashow and S. Weinberg, Phys. Rev. D 15, 1958 (1977).
S. M. Barr and I. Dorsner, Phys. Lett. B 566, 125 (2003).
K. S. Babu and S. M. Barr, Phys. Lett. B 381, 202 (1996).
C. Hogan, Rev. Mod. Phys. 72, 1149 (2000); Phys. Rev. D 74, 123514 (2006).
F. J. Dyson, Sci. Am. 225, 51 (1971); C. Hogan, Rev. Mod. Phys. 72, 1149 (2000).
S. Weinberg, Phys. Rev. Lett. 59, 2607 (1987).