The pseudogap phase of high-Tc cuprates is controversially attributed to preformed pairs or to a phase which coexists and competes with superconductivity. One of the challenges is to develop theoretical and experimental studies in order to distinguish between both proposals. Very recently, researchers at Stanford have reported [M. Hashimoto et al., Nat. Phys. 6, 414 (2010); R.-H. He et al., Science 331, 1579 (2011)] angle-resolved photoemission spectroscopy experiments on Pb-Bi2201 supporting the point of view that the pseudogap is distinct from superconductivity and associated to a spacial symmetry breaking without long-range order. In this paper we show that many features reported by these experiments can be described in the framework of the t-J model considering self-energy effects in the proximity to a d charge-density-wave instability.PACS numbers: 74.25.Jb, 71.10.Fd, Although the solid state physics community agrees on the existence of the pseudogap (PG) phase in underdoped high-T c superconductors, the origin of the PG and its relation with superconductivity (SC) is not clear from experimental and theoretical studies. Interpretations run from descriptions where the PG is intimately related to SC to others where the PG is distinct from SC and both phases compete.1 Thus, experimental and theoretical studies are of central interest for solving this puzzle.Angle-resolved photoemission spectroscopy (ARPES) is a valuable tool for studying the PG phase.2 In the pseudogap phase ARPES experiments show, in the normal state below a characteristic temperature T * , Fermi arcs 3-6 (FAs) (centered along the zone diagonal) instead of the expected Fermi surface (FS). Despite the general consensus about the existence of FAs, their main characteristics are controversial. Some experiments 3,4 report that near the antinode exists a single gap which is nearly independent of temperature. Moreover, in the superconducting state the gap follows the expected d-wave behavior along the FS. In contrast, other experiments 5,6 show that the gap follows the d-wave behavior near the node but deviates upward approaching the antinode. In our opinion the difference in the spectra reported by different groups can not only be attributed to the different systems under study. For instance, similar samples at similar doping (see Refs.[4] and [5]) also show the mentioned discrepancy. Although the reason for these differences is not clear, results of Refs. [3] and [4] suggest that FAs are tied to the preformed pair scenario, while results from Refs.[5] and [6] claim that arcs are associated to an order which is distinct from SC.Recently, ARPES results on Pb-Bi2201 were reported (Refs. [7] and [8]) showing that the PG phase is distinct from SC and associated to a spacial symmetry breaking without long-range order. Since these experiments challenge scenarios about the origin of the PG and FAs, their theoretical support is of high and broad interest. In the framework of the t-J model at mean-field level the carriers show a band dispersion′ and J are...