based on the hep-ph papers [Oa]D A, Standard Mode/ Without Elementary Scalars And High Energy lorentz violation, Eur. Phys. J C 65 (2010)523 and arXiv: 0904.1849 [hep-ph [ob]D A, Weighted power counting, neutrino masses and Lorentz violating extensions of the Standard Model, Phys. Rev. D79 (2009)025017 and arXiv: 0808.3475 [hep-ph Oc]D A. and M. Taiuti, Renormalization of high-energy lorentz violating QED Phys. Rev. D in press, arxiv: 0912.0113 [hep-ph [Od] D A. and E. Ciuffoli, Renormalization of high-energy Lorentz violating four fermion models, Phys. Rev. D in press, arXiv: 1002. 2704 [hep-ph and previous hep-th papers 1]DA. and M. Halat, Renormalization of Lorentz violating theories, Phys. Rev. D76 (2007)125011 and arxiv:0707.2480[ hep-th [2]D A, Weighted scale invariant quantum field theories, JHEP 02(2008)05 and arxiv 0801 1216 [ hep-th [3]DA, Weighted power counting and lorentz violating gauge theories I General properties, Ann. Phys. 324 (2009)874 and arXiv: 0808.3470 [hep-th [4]DA, Weighted power counting and Lorentz violating gauge theories. l/ Classification Ann. Phys. 324( 2009)1058 and arXiv 0808 3474 [hep-thbased on the hep-ph papers [0a] D.A., Standard Model Without Elementary Scalars And High Energy Lorentz Violation, Eur. Phys. J. C 65 (2010) 523 and arXiv:0904.1849 [hep-ph] [0b] D.A., Weighted power counting, neutrino masses and Lorentz violating extensions of the Standard Model, Phys. Rev. D 79 (2009) 025017 and arXiv:0808.3475 [hep-ph] [0c] D.A. and M. Taiuti, Renormalization of high-energy Lorentz violating QED, Phys. Rev. D in press, arxiv:0912.0113 [hep-ph] [0d] D.A. and E. Ciuffoli, Renormalization of high-energy Lorentz violating four fermion models, Phys. Rev. D in press, arXiv:1002.2704 [hep-ph] and previous hep-th papers [1] D.A. and M. Halat, Renormalization of Lorentz violating theories, Phys. Rev. D 76 (2007) 125011 and arxiv:0707.2480 [hep-th] [2] D.A., Weighted scale invariant quantum field theories, JHEP 02 (2008) 05 and arxiv:0801.1216 [hep-th] [3] D.A., Weighted power counting and Lorentz violating gauge theories. I: General properties, Ann. Phys. 324 (2009) 874 and arXiv:0808.3470 [hep-th] [4] D.A., Weighted power counting and Lorentz violating gauge theories. II: Classification, Ann. Phys. 324 (2009) 1058 and arXiv:0808.3474 [hep-th]