When the Standard Model is considered as an effective low-energy theory, higher dimensional interaction terms appear in the Lagrangian. Dimension-six terms have been enumerated in the classical article by Buchmüller and Wyler [3]. Although redundance of some of those operators has been already noted in the literature, no updated complete list has been published to date. Here we perform their classification once again from the outset. Assuming baryon number conservation, we find 15 + 19 + 25 = 59 independent operators (barring flavour structure and Hermitian conjugations), as compared to 16 + 35 + 29 = 80 in Ref. [3]. The three summed numbers refer to operators containing 0, 2 and 4 fermion fields. If the assumption of baryon number conservation is relaxed, 4 new operators arise in the four-fermion sector.⋆ This paper is based on the M.Sc. thesis of the second author.
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This erratum contains the full corrected version of the paper Complete set of Feynman rules for the Minimal Supersymmetric Standard Model [1]. The complete set of Feynman rules for the R-parity conserving MSSM is listed, including the most general form of flavour mixing. Propagators and vertices are computed in t'Hooft-Feynman gauge, convenient for perturbative calculations beyond the tree level. * e-mail: janusz.rosiek@fuw.edu.plInstead of putting on the web next version of the "erratum", with few more errors in the original paper corrected, I decided to resubmit the "integrated" version, i.e. full paper text with all necessary corrections included -it should be easier to use in this way. I also used this opportunity to correct the most irritating features of the notation used in the original Phys. Rev. D paper, making it, wherever possible, closer to commonly used naming conventions. However, I kept unchanged the "final" matrix notation for the interactions vertices in the mass eigenstates basis, as it proved to be very useful in compactifying many complicated loop calculations.Most of the expressions for mass matrices, mixing angles and vertices listed in [1] have been checked during the calculations of the 1-loop radiative corrections in the gauge and Higgs sectors of the MSSM [2,3] and in calculations of various CP violation/FCNC processes [4,5,6] The 1-loop corrections were calculated in on-shell renormalization scheme, which provide a very strict test of correctness of all formulae entering the expressions for the renormalized quantities: most of the errors in Feynman rules lead immediately to non-cancellation of the divergencies. Only the most exotic vertices like 4-sfermion couplings, several rarely used 2 Higgs boson-2 sfermion couplings were not used and did not pass this test yet. Other vertices can be with good probability considered as checked.Formulae for diagonalization of mass matrices and most of the vertices listed in [1] are accessible also as the ready FORTRAN codes. They are part of the bigger library for calculation of the 1-loop radiative corrections in on-shell renormalization scheme to the MSSM neutral Higgs production and decay rates. This library can be found at: http://www.fuw.edu.pl/˜rosiek/physics/neutral higgs.htmlIn order to avoid too many replacements in hep-ph archive, and to speed up the process of introducing further corrections if any were found, I will always put the most recent version of this collection of Feynman rules on my private web page. It will be available at: The complete set of Feynman rules for the R-parity conserving MSSM is listed, including the most general form of flavour mixing. Propagators and vertices are computed in t'Hooft-Feynman gauge, convenient for perturbative calculations beyond the tree level.
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