2016
DOI: 10.1007/jhep01(2016)123
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Effective theories of universal theories

Abstract: It is well-known but sometimes overlooked that constraints on the oblique parameters (most notably S and T parameters) are generally speaking only applicable to a special class of new physics scenarios known as universal theories. In the effective field theory (EFT) framework, the oblique parameters should not be associated with Wilson coefficients in a particular operator basis, unless restrictions have been imposed on the EFT so that it describes universal theories. We work out these restrictions, and presen… Show more

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Cited by 64 publications
(75 citation statements)
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References 145 publications
(225 reference statements)
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“…(2) are in general not simultaneously diagonalizable, leading to flavor violating effects which are not present in the SM. The running of C dH also introduces further flavor violating effects which should be considered [32,55]. We follow the procedure taken in previous work [45], imposing a minimal flavor violation (MFV) scenario [56,57] and setting V tb ¼ 1 throughout.…”
Section: A Preliminariesmentioning
confidence: 99%
“…(2) are in general not simultaneously diagonalizable, leading to flavor violating effects which are not present in the SM. The running of C dH also introduces further flavor violating effects which should be considered [32,55]. We follow the procedure taken in previous work [45], imposing a minimal flavor violation (MFV) scenario [56,57] and setting V tb ¼ 1 throughout.…”
Section: A Preliminariesmentioning
confidence: 99%
“…There are 16 of them one can possibly write down that are independent and CP-even, as we have shown in [8], so the effective theory of universal theories has a 16-dimensional parameter space, independent of the SMEFT basis choice. In turn, they can be mapped onto 16 independent phenomenological parameters, called "universal parameters" in [8], 5 of which coincide with the familiar oblique parameters. At leading order (LO) in v 2 Λ 2 , they lead to a universal pattern of deviations from the SM.…”
Section: Introductionmentioning
confidence: 99%
“…2 Note, however, that in some of these references, bounds on the oblique parameters are used to constrain the SMEFT parameter space possibly beyond the universal theories subspace, which can lead to inconsistencies as argued in [8] (see also [9]). The results should therefore be interpreted with caution.…”
Section: Jhep06(2016)122mentioning
confidence: 99%
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