Production of f2(1270) meson in pp collisions at the LHC via gluon-gluon fusion in the k-factorization approach

Inclusive production of $f_2(1270)$ tensor mesons at the LHC via gluon-gluon fusion in the $k_t$-factorization approach

“…In [10] the f 2 γγ vertex for 'on-shell' f 2 meson and real photons was considered; see (3.39) of [10] and the discussion in section 5.3 there. In [4] we were interested in γ * (Q 2 1 )γ * (Q 2 2 ) → f 2 (1270) process. Thus to describe the dependence on photon virtualities we introduced the vertex form factors F (0) (Q 2 1 , Q 2 2 ) and F (2)…”

“…Because f 2 (1270) is extended, finite size object one can expect in addition a form factor F(Q 2 1 , Q 2 2 ) associated with the gluon virtualities for the g * g * → f 2 vertex. In [4] the form factor was parametrized in four different ways; see (2.13)-(2.16) of [4].…”

“…In [4] we showed our results to the ALICE data presented in a PhD thesis [2]. To convert to the number of f 2 (1270) mesons per event we used the relation:…”

“…The gluon-gluon fusion was already considered in the past [3]. Recently [4] we discussed this mechanism more carefully.…”

“…There two tensor structures corresponding to Γ (0) helicity-0 and Γ (2) helicity-2 couplings were found and their strength was determined from the comparison to the Belle data [11] for the γγ → ππ reactions. In [4] we also used tensorial structures for γ * γ * → f 2 (1270) vertex from [12].…”