Higgs mass generation from the standpoint of information

• Published in: Physics letters. A Vol. 278; no. 6; pp. 299 - 306
• Main Authors: Frieden, B.R., Plastino, A.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.01.2001
• Subjects: Cosmological principle; Fisher information; Higgs mass; Physical information; Cosmological principle; Higgs mass; Physical information; 14.80.C; 89.70; 05.30.-d; Fisher information
• ISSN: 0375-9601; 1873-2429
• DOI: 10.1016/S0375-9601(00)00809-4

An alternative Lagrangian is derived for imparting mass to the Higgs H 0, Z 0 and W ± bosons. The Lagrangian derives from considerations of measurement: that of the four-position of one of the bosons. (Neither the Cooper pair nor vacuum perturbation approach is taken.) The quality of the measurement can be specified by its level of Fisher information. The Lagrangian arises as a simple statement of lossless acquisition of information by the measurement process. All boson fields are regarded as probability amplitudes, and a Lagrangian variational solution is Proca equations for the Higgs Z 0 and W ± probability amplitudes, and a uniform amplitude function for H 0. Also, the measured location of H 0 is found to be quantum mechanically entangled with the mass of Z 0 or W ±. With ε H the root-mean square uncertainty in the measured four-position of H 0, this is as ε H M Z ⩾ℏ/2 c in a U(1) analysis, and as ε H M W 2+0.5M Z 2 ⩾ℏ/2c in an SU(2) analysis. M W and M Z are the masses of the W ± and Z 0 bosons. The mass M Z arises as if the outcome of a zero-sum game of mass acquisition played by Z 0 and H 0. The above inequalities are well-obeyed by currently known limiting values of ε H , M W and M Z . They also imply an upper bound of about 206 GeV/c 2 to the mass M H of H 0. The uniform nature of the probability amplitude function for H 0 implies uniform mass generation over four-space and, hence, the cosmological principle of astronomy.