Lee Quigg Thacker Bound
The Lee-Quigg-Thacker limit , English Lee-Quigg-Thacker bound , is a theoretical upper limit for the mass of the Higgs boson in quantum field theory . It was named after Benjamin Lee , Chris Quigg and Hank Thacker who discovered this border in 1977. According to Lee, Quigg and Thacker, the Higgs mass must not exceed the value of m c ≈ 1 TeV . In addition to the Lee-Quigg-Thacker limit, the Linde-Weinberg limit with a value of approximately 7.5 GeV exists as the lower limit for the Higgs mass . These theoretical limitations created a window for the search for the Higgs boson at particle accelerators . In 2012, researchers at the Large Hadron Collider found a previously undiscovered particle with m ≈ 125 GeV, which can be assumed to be the standard Higgs.
background
A quantum field theory in which there are no Higgs bosons but massive vector bosons that behave like the W bosons of the Standard Model is inconsistent. The scattering cross-section of the scattering of four vector bosons diverges at high energies. In order to maintain the unitarity of the scattering matrix (the sum of all probabilities of the final states must be one), however, it is necessary that the scattering cross-section approaches zero in such a case. If the Higgs boson is taken into account, the behavior of the scattering cross-section depends on its mass: Above a critical value, the scattering cross-section approaches a constant other than zero, below the critical value the scattering cross-section drops to zero. This critical value is
where is the Fermi constant .
literature
- B. Lee, C. Quigg and H. Thacker: Weak interactions at very high energies: The role of the Higgs-boson mass . In: Phys. Rev. D . tape 16 , no. 5 , 1977, pp. 1519–1531 , doi : 10.1103 / PhysRevD.16.1519 (English).