2021•The European Physical Journal COpen access

Global fits of third family hypercharge models to neutral current B-anomalies and electroweak precision observables

Benjamin C Allanach, José Eliel Camargo-Molina, Joe Davighi

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Abstract

Abstract While it is known that third family hypercharge models can explain the neutral currentB-anomalies, it was hitherto unclear whether the $$Z-Z^\prime $$ Z-Z′ mixing predicted by such models could simultaneously fit electroweak precision observables. Here, we perform global fits of several third family hypercharge models to a combination of electroweak data and those data pertinent to the neutral currentB-anomalies. While the Standard Model is in tension with this combined data set with ap-value of .0007, simple versions of the models (fitting two additional parameters each) provide much improved fits. The original Third Family Hypercharge Model, for example, has ap-value of $${.065}$$ .065 , with $$\sqrt{\Delta \chi ^2}=6.5\sigma $$ Δχ2=6.5σ .

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Abstract While it is known that third family hypercharge models can explain the neutral currentB-anomalies, it was hitherto unclear whether the $$Z-Z^\prime $$ Z-Z′ mixing predicted by such models could simultaneously fit electroweak precision observables. Here, we perform global fits of several third family hypercharge models to a combination of electroweak data and those data pertinent to the neutral currentB-anomalies. While the Standard Model is in tension with this combined data set with ap-value of .0007, simple versions of the models (fitting two additional parameters each) provide much improved fits. The original Third Family Hypercharge Model, for example, has ap-value of $${.065}$$ .065 , with $$\sqrt{\Delta \chi ^2}=6.5\sigma $$ Δχ2=6.5σ .

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Available abstract

Abstract While it is known that third family hypercharge models can explain the neutral currentB-anomalies, it was hitherto unclear whether the $$Z-Z^\prime $$ Z-Z′ mixing predicted by such models could simultaneously fit electroweak precision observables. Here, we perform global fits of several third family hypercharge models to a combination of electroweak data and those data pertinent to the neutral currentB-anomalies. While the Standard Model is in tension with this combined data set with ap-value of .0007, simple versions of the models (fitting two additional parameters each) provide much improved fits. The original Third Family Hypercharge Model, for example, has ap-value of $${.065}$$ .065 , with $$\sqrt{\Delta \chi ^2}=6.5\sigma $$ Δχ2=6.5σ .

Key concepts: Hypercharge, Electroweak interaction, Physics, Particle physics, Observable, Standard Model (mathematical formulation), Anomaly (physics), Quantum mechanics

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