Regular Article - Theoretical Physics
The Higgs mass coincidence problem: why is the Higgs mass ?
Dept. Physics, Murcia U., Murcia, Spain
2 CERN TH Dept., 1201 , Geneva 23, Switzerland
* e-mail: email@example.com
Accepted: 27 November 2013
Published online: 4 February 2014
In the light of the recent LHC boson discovery, we present a phenomenological evaluation of the ratio , from the LHC combined value, we get () This value is close to 1 with a precision of the order . Similarly we evaluate the ratio . From the up-to-date mass values we get . The Higgs mass is numerically close (at the level) to the . From these relations we can write any two mass ratios as a function of, exclusively, the Weinberg angle (with a precision of the order of or better): For example: , . In the limit all the masses would become equal . We review the theoretical situation of this ratio in the SM and beyond. In the SM these relations are rather stable under RGE pointing out to some underlying UV symmetry. In the SM such a ratio hints for a non-casual relation of the type with . Moreover the existence of relations could be interpreted as a hint for a role of the custodial symmetry, together with other unknown mechanism. Without a symmetry at hand to explain then in the SM, there arises a Higgs mass coincidence problem, why the ratios are so close to one, can we find a mechanism that naturally gives , ?
© The Author(s), 2014