Higgs-Higgs bound state due to new physics at a TeV

Abstract

We examine the effects of new physics on the Higgs sector of the standard model, focusing on the effects on the Higgs self couplings. We demonstrate that a low mass higgs, m h < 2 m t , can have a strong effective self coupling due to the effects of a new interaction at a TeV. We investigate the possibility that the first evidence of such an interaction could be a higgs-higgs bound state.To this end, we construct an effective field theory formalism to examine the physics of such a low mass higgs boson. We explore the possibility of a non relativistic bound state of the higgs field (Higgsium) at LHC and construct a non relativistic effective field theory of the higgs sector that is appropriate for such studies (NRHET).

Fingerprints of heavy scales in electroweak effective Lagrangians

“…(2.6) can be written in terms of the invariant operator u µ u µ . Since the Higgs field is a singlet under SU(2) L × SU(2) R , we can multiply this structure with an arbitrary polynomial of h [47]. The powers of the Higgs field are compensated by corresponding powers of the electroweak scale v, as happens for the Goldstone fields in the non-linear representation given by u(ϕ).…”

The minimal flavour violating axion

“…In order to reproduce the expected value of the EW VEV, v ≡ 245 GeV fixed through the W gauge boson mass, it is then necessary to invoke a large value of the Higgs quartic coupling λ, describing in this way a strongly interacting scenario with a non-linearly realised EWSB mechanism. This is an intriguing possibility, especially considering the recent interest in non-SM descriptions of the Higgs sector, such as composite Higgs models [87][88][89][90][91][92][93][94][95], dilaton models [96][97][98][99][100][101][102][103], or general effective Lagrangians [104][105][106][107][108][109][110][111][112][113][114][115][116][117][118][119][120][121]. In this letter, however, the traditional EWSB mechanism will be considered, and this requires to invoke a fine tuning: either there is cancellation between µ 2 and λ HΦ v 2 Φ , or λ HΦ is artificially small.…”

Study of the Electroweak Symmetry Breaking Sector for the LHC

“…Note the presence of the non-linear term 1 − (ω 2 /v 2 ). This is the main difference from linear approaches like [22][23][24][25][26][27][28][29][30][31][32][33]. The covariant derivative of the U field (eq.…”

“…In view that the h has been found, it can be extended to include the new Higgs-like particle found at the LHC (refs. [22][23][24][25][26][27][28][29][30][31][32][33]). One of the goals of this work will be to expose this extension, considering non-linear Electroweak Chiral Lagrangians as a low-energy (M W , M h √ s 3 TeV) parameterization of the new physics at the TeV scale.…”

“…The tools of Effective Chiral Lagrangians and unitarization procedures will be used, and the old Higgsless Electroweak Chiral Lagrangian [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21](EChL) will be extended to accommodate a Higgs-like boson at ∼ 125 GeV. Since the discovery of the Higgs-like boson at the LHC, this field has received increasing attention [22][23][24][25][26][27][28][29][30][31][32][33]. I hope that this dissertation, besides our original results [34][35][36][37][38][39] 1 that will be described, can be a useful introduction to the field of a strongly interacting EWSBS with a light Higgs but below the possible new-physics scale.…”