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CERN Yellow paper contribution The search for new strong dynamics in exclusive diffraction

After recent discovery of the Higgs boson [1, 2] at the LHC and follow-up precision studies of its interactions with known matter [3], a rough picture of consistency with the Standard Model (SM) has began to emerge. This consistency, however, does not mean yet that the nature of the Higgs boson and electroweak symmetry breaking (EWSB) is completely understood. One of the immediate questions that challenge our current understanding of symmetries in Nature is what initiates the Higgs mechanism of electroweak symmetry breaking (EWSB) in the SM. Namely, whether it is actually SM-like or in fact an effective description appearing as a consequence of a new fundamental symmetry. The experimental precision should be noticeably increased to the level of precision tests achieved in other SM sectors in order to draw final conclusions. In particular, in the electroweak SM sector the agreement of theoretical predictions with experiment takes place at the level of relative error ∼ 10 which remains a rather big challenge for ongoing experimental investigations of the SM Higgs sector. One of the major questions to be answered in the ongoing search for New Physics at the LHC is whether a fine structure of the Higgs-like signal exists in the low invariant mass interval 110 − 140 GeV, predominantly in γγ, Wγ and Zγ channels, or not. As was indicated by CMS data [4] such a fine structure is not yet completely excluded and is being theoretically explored in various beyond the SM scenarios at the moment. It is thus reasonable to study this, or such a structure in γγ and Zγ decay channels, both in QCD and VBF-initiated exclusive production mechanisms. A new strongly-coupled dynamics at a TeV energy scale is often believed to be responsible for EWSB in the SM [5, 6]. Namely, it initiates the EW symmetry breaking dynamically by means of confined techniquark condensation at low energy scales. A straightforward analogy to this effect is the spontaneous chiral symmetry breaking in non-perturbative chiral QCD with only difference that the effective Higgs mechanism is initiated by a non-diagonal techniquark condensate. Such a new dynamics unavoidably predicts a plenty of new states, most importantly, composite Higgs-like particles [9, 10] and partners of SM fermions [11], whose properties depend on the group-theoretical structure of underlined theory and its ultraviolet (UV) completion. Besides the composite Higgs-like state, the latter predict a plenty of new relatively light pseudo-Goldstone composite states, like technipions (or T-