QCD corrections to the Golden decay channel of the Higgs boson

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Main Authors: Kaur, Mandeep, Mahakhud, Maguni, Shivaji, Ambresh, Zhao, Xiaoran
Format: Preprint
Published: 2023
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author Kaur, Mandeep
Mahakhud, Maguni
Shivaji, Ambresh
Zhao, Xiaoran
author_facet Kaur, Mandeep
Mahakhud, Maguni
Shivaji, Ambresh
Zhao, Xiaoran
contents Future colliders aim to provide highly precise experimental measurements of the properties of the Higgs boson. In order to benefit from these precision machines, theoretical errors in the Higgs sector observables have to match at least the experimental uncertainties. The theoretical uncertainties in the Higgs sector observables can be reduced by including missing higher-order terms in their perturbative calculations. In this direction, we compute the mixed QCD-electroweak corrections at ${\mathcal O}(αα_s)$ to the Higgs decay into four charged leptons by considering the golden decay channel, $ H \to e^+e^-μ^+μ^-$. Due to color conservation, these corrections receive contributions only from the two-loop virtual diagrams. In the complex mass scheme, we find that the mixed QCD-electroweak corrections to the partial decay width, relative to the leading order predictions, are positive and about $0.27\%$ for $α_s(M_Z)$. Relative to the next-to-leading order electroweak corrections, the mixed QCD-electroweak corrections are found to be approximately $18\%$ for $α_s(M_Z)$. With respect to the leading order, we observe a flat effect of the mixed QCD-electroweak corrections on the invariant mass distribution of the lepton pairs with fixed QCD coupling. The $ϕ$ distribution, due to the mixed QCD-electroweak corrections, follows a $(1-\cos ϕ)$ dependence.
format Preprint
id arxiv_https___arxiv_org_abs_2307_16063
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle QCD corrections to the Golden decay channel of the Higgs boson
Kaur, Mandeep
Mahakhud, Maguni
Shivaji, Ambresh
Zhao, Xiaoran
High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Theory
Future colliders aim to provide highly precise experimental measurements of the properties of the Higgs boson. In order to benefit from these precision machines, theoretical errors in the Higgs sector observables have to match at least the experimental uncertainties. The theoretical uncertainties in the Higgs sector observables can be reduced by including missing higher-order terms in their perturbative calculations. In this direction, we compute the mixed QCD-electroweak corrections at ${\mathcal O}(αα_s)$ to the Higgs decay into four charged leptons by considering the golden decay channel, $ H \to e^+e^-μ^+μ^-$. Due to color conservation, these corrections receive contributions only from the two-loop virtual diagrams. In the complex mass scheme, we find that the mixed QCD-electroweak corrections to the partial decay width, relative to the leading order predictions, are positive and about $0.27\%$ for $α_s(M_Z)$. Relative to the next-to-leading order electroweak corrections, the mixed QCD-electroweak corrections are found to be approximately $18\%$ for $α_s(M_Z)$. With respect to the leading order, we observe a flat effect of the mixed QCD-electroweak corrections on the invariant mass distribution of the lepton pairs with fixed QCD coupling. The $ϕ$ distribution, due to the mixed QCD-electroweak corrections, follows a $(1-\cos ϕ)$ dependence.
title QCD corrections to the Golden decay channel of the Higgs boson
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Theory
url https://arxiv.org/abs/2307.16063