The oblique parameters from arbitrary new fermions
Abstract: We compute the six oblique parameters $S, T, U, V, W, X$ in a New Physics Model with an arbitrary number of new fermions, in arbitrary representations of $SU(2) \times U(1)$, and mixing arbitrarily among themselves. We show that $S$ and $U$ are automatically finite, but $T$ is finite only if there is a specific relation between the masses of the new fermions and the representations of $SU(2) \times U(1)$ that they sit in. We apply our general computation to two illustrative cases.
- G. C. Branco, L. Lavoura, and J. P. Silva, “CP Violation.” Clarendon Press, Oxford, 1999.
- I. Maksymyk, C. P. Burgess, and D. London, “Beyond S𝑆Sitalic_S, T𝑇Titalic_T, and U𝑈Uitalic_U,” Phys. Rev. D 50 (1994) 529.
- See S. Draukšas, V. Dūdėnas, and L. Lavoura, “Oblique corrections when mW≠mZcosθWsubscript𝑚𝑊subscript𝑚𝑍subscript𝜃𝑊m_{W}\neq m_{Z}\cos{\theta_{W}}italic_m start_POSTSUBSCRIPT italic_W end_POSTSUBSCRIPT ≠ italic_m start_POSTSUBSCRIPT italic_Z end_POSTSUBSCRIPT roman_cos italic_θ start_POSTSUBSCRIPT italic_W end_POSTSUBSCRIPT at tree level,” arxiv:2305.14050 [hep-ph], and the references therein.
- F. Albergaria, L. Lavoura, and J. C. Romão, “Oblique corrections from triplet quarks,” J. High Energ. Phys. 03 (2023) 031.
- F. Albergaria and L. Lavoura, “Oblique corrections from leptoquarks,” J. High Energ. Phys. 09 (2023) 080.
- G. Passarino and M. J. G. Veltman, “One-loop corrections for e+e−superscript𝑒superscript𝑒e^{+}e^{-}italic_e start_POSTSUPERSCRIPT + end_POSTSUPERSCRIPT italic_e start_POSTSUPERSCRIPT - end_POSTSUPERSCRIPT annihilation into μ+μ−superscript𝜇superscript𝜇\mu^{+}\mu^{-}italic_μ start_POSTSUPERSCRIPT + end_POSTSUPERSCRIPT italic_μ start_POSTSUPERSCRIPT - end_POSTSUPERSCRIPT in the Weinberg model,” Nucl. Phys. B 160 (1979) 151.
- T. Hahn, “Automatic loop calculations with FeynArts, FormCalc, and LoopTools,” Nucl. Phys. B Proc. Supp. 89 (2000) 231.
- T. Hahn and M. Rauch, “News from FormCalc and LoopTools,” Nucl. Phys. B Proc. Supp. 157 (2006) 236.
- L. Lavoura and J. P. Silva, “Oblique corrections from vectorlike singlet and doublet quarks,” Phys. Rev. D 47 (1993) 2046.
- H.-H. Zhang, Y. Cao, and Q. Wang, “The effects on S, T and U from higher-dimensional fermion representations,” Mod. Phys. Lett. A 22 (2007) 2533.
- R. Tenchini, “Asymmetries at the Z pole: The Quark and Lepton Quantum Numbers,” Adv. Ser. Direct. High Energy Phys. 26 (2016) 161–184.
- D. Barducci, M. Nardecchia, and C. Toni, “Perturbative unitarity constraints on generic vector interactions,” J. High Energ. Phys. 09 (2023) 134.
- K. Hally, H. E. Logan, and T. Pilkington, “Constraints on large scalar multiplets from perturbative unitarity,” Phys. Rev. D 85 (2012) 095017.
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