Upper Higgs boson mass bounds from a chirally invariant lattice Higgs-Yukawa model

Abstract

Abstract:We establish the cutoff-dependent upper Higgs boson mass bound by means of direct lattice computations in the framework of a chirally invariant lattice Higgs-Yukawa model emulating the same chiral Yukawa coupling structure as in the Higgs-fermion sector of the Standard Model. As expected from the triviality picture of the Higgs sector, we observe the upper mass bound to decrease with rising cutoff parameter Λ. Moreover, the strength of the fermionic contribution to the upper mass bound is explored by comparing to the corresponding analysis in the pure Φ 4 -theory. Our final results on the cutoff-dependent upper Higgs boson mass bound are summarized in figure 1.

Higgs boson mass bounds in the presence of a very heavy fourth quark generation

“…The interest in lattice Higgs-Yukawa models has therefore recently been renewed [4][5][6][15][16][17][18][19][20].…”

“…In fact, we follow here the same lattice strategy that has already been used in ref. [4][5][6] for the non-perturbative determination of the upper and lower Higgs boson mass bounds in the SM3. This latter approach has the great advantage over the preceding lattice studies of Higgs-Yukawa models (see e.g.…”

Constraining the Higgs boson mass: a non-perturbative lattice study

“…Therefore, the lower bound for the Higgs boson mass at fixed cutoff and m f is obtained atλ = 0, while the upper bound is obtained atλ = ∞ [21].…”

“…[21] and are briefly reviewed here. The renormalization constant Z G is computed from the slope of the inverse Goldstone boson propagator at vanishing Euclidean four-momentum transfer, in the standard on-shell scheme.…”

“…This triggered a number of lattice investigations of Higgs-Yukawa like models [13,14,15,16,17,18,19,20,21].…”