The Lagrangians In R_ξ Gauge Of The Left-Right Twin Higgs Model And The Application To Processes (gg→h) And (h→γγ)

Though many experiments, including the 126 GeV Higgs discovery by the Large Hadron Collider(LHC) in CERN, test the great success of the standard model(SM)of particle physics, quite a number of people still believe it an effective theory below certain high energy scale. Firstly, the Higgs mass parameter receives quadratically divergent quantum corrections that tend to destabilize the weak scale, which is the hierarchy problem; Next, the origin of the mechanism for electroweak symmetry breaking(EWSB) as well as the Yukawa couplings remain a mystery in current particle physics; Thirdly, the massive neutrinos require new physics beyond the SM[3]; Finally, the absence of the dark matter candidates in SM also need the appearance of new physics. Therefore, from both the theoretical point of view and the experimental search aspects, these problems suggest the existence of new physics near TeV energy scale.The twin Higgs model respects a discrete2 Z symmetry which is enough to ensure that any quadratically divergent contribution to the Higgs potential accidentally respects the global symmetry. The SM Higgs in this realization emerges as the pseudo-Goldstone boson, which is induced by the global symmetry breaking.At the same time, the Higgs sector also respects a discrete parity symmetry, the left-right symmetry, tightly constraining the Higgs mass from quadratical divergence,at most logarithmical divergence, which allows natural electroweak breaking to be realized and makes the corrections to precision electroweak observables naturally small, providing a solution to the LEP paradox[1‐4].The left-right twin Higgs model, which adds an extra set of the Higgs to the SM Higgs spectrum by the left-right discrete symmetry, is one of the phenomenological realization of the new physics models to solve the little hierarchy problem. In this paper, We, in the Rxgauge, will give the complete lagrangians in this new physics model and then apply them to the processes (gg→h) and (h→γγ). Compared with the SM,We find that The cross section of (gg→h) can be sizably suppressed by the vector top partner T, while Br (h→γγ) can be more sizably enhanced by the charged scalars and the heavy gauge bosonHW±. We can find suitable parameters to improve the measured Higgs rates at the LHC. It’s important for us to study the LRTH mode.