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000607486 088__ $$2arXiv$$aarXiv:2405.20371
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000607486 1001_ $$0P:(DE-H253)PIP1023796$$aGrojean, Christophe$$b0
000607486 245__ $$aA log story short: running contributions to radiative Higgs decays in the SMEFT
000607486 260__ $$c2024
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000607486 500__ $$a32 pages + 3 appendices, 5 tables and 6 figures
000607486 520__ $$aWe investigate the renormalization of the radiative decays of the Higgs to two gauge bosons in the Standard Model Effective Field Theory at mass dimension eight. Given that these are loop-level processes, their one-loop renormalization can be phenomenologically important when triggered by operators generated through the tree-level exchange of heavy particles (assuming a weakly coupled UV model). By computing the tree-level matching conditions of all relevant extensions of the Standard Model, we demonstrate that this effect is indeed present in the $h\to \gamma Z$ decay at dimension eight, even though it is absent at dimension six. In contrast, the $h\to gg$ and $h\to \gamma\gamma$ decays can only be renormalized by operators generated by one-loop processes. For UV models with heavy vectors, this conclusion hinges on the specific form of their interaction with massless gauge bosons which is required for perturbative unitarity. We study the quantitative impact of the possible logarithmic enhancement of $h\to \gamma Z$, and we propose an observable to boost the sensitivity to this effect. Given the expected increased precision of next-generation high-energy experiments, this dimension-eight contribution could be large enough to be probed and could therefore give valuable clues about new physics by revealing some of its structural features manifesting first at dimension eight.
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000607486 650_7 $$2INSPIRE$$anew physics
000607486 650_7 $$2INSPIRE$$aeffective field theory
000607486 650_7 $$2INSPIRE$$aoperator: dimension: 6
000607486 650_7 $$2INSPIRE$$aoperator: dimension: 8
000607486 650_7 $$2INSPIRE$$aoperator: renormalization
000607486 650_7 $$2INSPIRE$$arenormalization group
000607486 650_7 $$2INSPIRE$$aHiggs particle: radiative decay
000607486 650_7 $$2INSPIRE$$aHiggs particle: coupling
000607486 650_7 $$2INSPIRE$$acoupling: energy dependence
000607486 650_7 $$2INSPIRE$$aHiggs particle --> Z0 photon
000607486 650_7 $$2INSPIRE$$aHiggs particle --> photon photon
000607486 650_7 $$2INSPIRE$$aHiggs particle --> gluon gluon
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000607486 7001_ $$0P:(DE-H253)PIP1103603$$aSousa Fialho Guedes, Guilherme Luis de$$b1$$eCorresponding author
000607486 7001_ $$0P:(DE-H253)PIP1098857$$aRoosmale Nepveu, Jasper$$b2
000607486 7001_ $$0P:(DE-HGF)0$$aSalla, Gabriel M.$$b3
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000607486 9141_ $$y2024
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