Off-shell renormalization in Higgs effective field theories
| Autor: | Binosi, Daniele, Quadri, Andrea |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | JHEP 1804 (2018) 050 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP04(2018)050 |
| Popis: | The off-shell one-loop renormalization of a Higgs effective field theory possessing a scalar potential $\sim\left(\Phi^\dagger\Phi-\frac{v^2}2\right)^N$ with $N$ arbitrary is presented. This is achieved by renormalizing the theory once reformulated in terms of two auxiliary fields $X_{1,2}$, which, due to the invariance under an extended Becchi-Rouet-Stora-Tyutin symmetry, are tightly constrained by functional identities. The latter allow in turn the explicit derivation of the mapping onto the original theory, through which the (divergent) multi-Higgs amplitude are generated in a purely algebraic fashion. We show that, contrary to naive expectations based on the loss of power counting renormalizability, the Higgs field undergoes a linear Standard Model like redefinition, and evaluate the renormalization of the complete set of Higgs self-coupling in the $N\to\infty$ case. Comment: 33 pages, no figures. v3: complete one-loop off-shell renormalization for a BSM potential involving arbitrary powers of $\left(\phi^\dagger\phi-\frac{v^2}2\right)$ presented; Higgs wavefunction renormalization shown to be SM like; renormalization of the complete set of Higgs self-coupling in the $N\to\infty$ case discussed. v3 matches the published one |
| Databáze: | arXiv |
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