The dark side of 4321
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Springer
Received: May 26, Revised: September 3, Accepted: September 15, Published: October 13,
2020 2020 2020 2020
Diego Guadagnoli, M´ eril Reboud and Peter Stangl LAPTh, Universit´e Savoie Mont-Blanc et CNRS, Annecy, France
E-mail: [email protected], [email protected], [email protected] Abstract: The evidence of Dark Matter (DM) is one of the strongest observational arguments in favor of physics beyond the Standard Model. Despite expectations, a similar evidence has been lacking so far in collider searches, with the possible exception of B-physics discrepancies, a coherent set of persistent deviations in a homogeneous dataset consisting of b → c and b → s semi-leptonic transitions. We explore the question whether DM and the B discrepancies may have a common origin. We do so in the context of the so-called 4321 gauge model, a UV-complete and calculable setup that yields a U1 leptoquark, the by far most successful single mediator able to explain the B anomalies, along with other new gauge bosons, including a Z 0 . Adding to this setup a ‘minimal’ DM fermionic multiplet, consisting of a 4 under the 4321’s SU(4), we find the resulting model in natural agreement with the relic-density observation and with the most severe direct-detection bounds, in the sense that the parameter space selected by B physics is also the one favored by DM phenomenology. The DM candidate is a particle with a mass in the WIMP range, freeze-out dynamics includes a co-annihilator (the ‘rest’ of the 4 multiplet), and the most important gauge mediator in the DM sector is the Z 0 . Keywords: Beyond Standard Model, Cosmology of Theories beyond the SM, Heavy Quark Physics ArXiv ePrint: 2005.10117
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP10(2020)084
JHEP10(2020)084
The dark side of 4321
Contents 1 Introduction
1
2 Model setup 2.1 Vector bosons 2.2 Fermions 2.3 Parameter ranges
4 4 5 8 10 11 12 13 14
4 Dark-Matter direct detection
15
5 Results
17
6 Comments on Dark-Matter indirect detection
20
7 Conclusions
22
A Fermions in 4321 models A.1 The SM fermions A.2 The fermions in the DM sector
23 23 26
B Mass splitting
27
C Cross-sections of processes entering the estimation of the relic density
31
1
Introduction
After the end of LHC Run 2, no sign of new physics (NP) has been observed in direct searches. There are, however, several indirect hints for NP. Flavor physics experiments have reported a large set of deviations from Standard Model (SM) predictions in B-meson decays, which are also known as B-meson anomalies. They amount to discrepancies both in neutral current b → s`` decays [1–11] and in charged current b → c`ν decays [12–21]. It was realized that the presence of a U1 leptoquark (LQ) with SM quantum numbers (3, 1, 2/3) could simultaneously explain both of these sets of discrepancies [22–30]. While other simultaneous solutions are possible (see e.g. [31–37]), an explanation in terms of a
–1–
JHEP10(2020)084
3 Dark-Matter relic abundance 3.1
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