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In this paper, we describe the potential of the LHCb experiment to detect Stealth physics. This refers to dynamics beyond the Standard Model that would elude searches that focus on energetic objects or precision measurements of known processes. Stealth signatures include long-lived particles and light resonances that are produced very rarely or together with overwhelming backgrounds. We will discuss why LHCb is equipped to discover this kind of physics at the Large Hadron Collider and provide examples of well-motivated theoretical models that can be probed with great detail at the experiment.
In this paper, we describe the potential of the LHCb experiment to detect Stealth physics. This refers to dynamics beyond the Standard Model that would elude searches that focus on energetic objects or precision measurements of known processes. Stealth signatures include long-lived particles and light resonances that are produced very rarely or together with overwhelming backgrounds. We will discuss why LHCb is equipped to discover this kind of physics at the Large Hadron Collider and provide examples of well-motivated theoretical models that can be probed with great detail at the experiment.
We update the Standard Model (SM) predictions for B-meson lifetimes within the heavy quark expansion (HQE). Including for the first time the contribution of the Darwin operator, SU(3)F breaking corrections to the matrix element of dimension-six four-quark operators and the so-called eye-contractions, we obtain for the total widths $$ \Gamma \left({B}^{+}\right)=\left({0.58}_{-0.07}^{+0.11}\right){\textrm{ps}}^{-1},\Gamma \left({B}_d\right)=\left({0.63}_{-0.07}^{+0.11}\right){\textrm{ps}}^{-1},\Gamma \left({B}_s\right)=\left({0.63}_{-0.07}^{+0.11}\right){\textrm{ps}}^{-1} $$ Γ B + = 0.58 − 0.07 + 0.11 ps − 1 , Γ B d = 0.63 − 0.07 + 0.11 ps − 1 , Γ B s = 0.63 − 0.07 + 0.11 ps − 1 , and for the lifetime ratios τ(B+)/τ(Bd) = 1.086 ± 0.022, τ(Bs)/τ(Bd) = 1.003 ± 0.006 (1.028 ± 0.011). The two values for the last observable arise from using two different sets of input for the non-perturbative parameters $$ {\mu}_{\pi}^2\left({B}_d\right),{\mu}_G^2\left({B}_d\right) $$ μ π 2 B d , μ G 2 B d , and $$ {\rho}_D^3\left({B}_d\right) $$ ρ D 3 B d as well as from different estimates of the SU(3)F breaking in these parameters. Our results are overall in very good agreement with the corresponding experimental data, however, there seems to emerge a tension in τ(Bs)/τ(Bd) when considering the second set of input parameters. Specifically, this observable is extremely sensitive to the size of the parameter $$ {\rho}_D^3\left({B}_d\right) $$ ρ D 3 B d and of the SU(3)F breaking effects in $$ {\mu}_{\pi}^2,{\mu}_G^2 $$ μ π 2 , μ G 2 and $$ {\rho}_D^3 $$ ρ D 3 ; hence, it is of utmost importance to be able to better constrain all these parameters. In this respect, an extraction of $$ {\mu}_{\pi}^2\left({B}_s\right),{\mu}_G^2\left({B}_s\right),{\rho}_D^3\left({B}_s\right) $$ μ π 2 B s , μ G 2 B s , ρ D 3 B s from future experimental data on inclusive semileptonic Bs-meson decays or from direct non-perturbative calculations, as well as more insights about the value of $$ {\rho}_D^3(B) $$ ρ D 3 B extracted from fits to inclusive semileptonic B-decays, would be very helpful in reducing the corresponding theory uncertainties.
We propose a search for B meson decays to a baryon plus missing energy at the Belle II experiment to probe supersymmetry with a GeV-scale lightest neutralino $$ {\overset{\sim }{\chi}}_1^0 $$ χ ~ 1 0 and R-parity violation (RPV). We perform analytic computations of the signal branching fractions in the framework of effective field theory, with a single nonzero RPV operator $$ {\lambda}_{ij3}^{\prime \prime }{\overline{U}}_i^c{\overline{D}}_j^c{\overline{D}}_3^c $$ λ ij 3 ′ ′ U ¯ i c D ¯ j c D ¯ 3 c , where i, j = 1, 2. The hadronic form factors are calculated using an SU(3) phenomenological Lagrangian approach for the proton, as well as several hyperons and charmed baryons. Since the decay of the neutralino is kinematically and CKM suppressed in this theoretical scenario, it decays outside the detector and appears experimentally only as missing energy. We detail the analysis techniques at the experimental level and estimate the background in the $$ {B}^{+}\to p{\overset{\sim }{\chi}}_1^0 $$ B + → p χ ~ 1 0 search using published results for $$ {B}^{+}\to {K}^{+}\nu \overline{\nu} $$ B + → K + ν ν ¯ . Our final sensitivity plots are shown for both $$ {\lambda}_{113}^{\prime \prime } $$ λ 113 ′ ′ versus the squark mass $$ {m}_{\tilde{q}} $$ m q ~ and $$ {\lambda}_{113}^{\prime \prime }/{m}_{\tilde{q}}^2 $$ λ 113 ′ ′ / m q ~ 2 versus the neutralino mass $$ {m}_{{\overset{\sim }{\chi}}_1^0} $$ m χ ~ 1 0 . We find that the search at Belle II could probe $$ {\lambda}_{113}^{\prime \prime }/{m}_{\tilde{q}}^2 $$ λ 113 ′ ′ / m q ~ 2 down to the order of 10−8 GeV−2 in the kinematically allowed $$ {m}_{{\overset{\sim }{\chi}}_1^0} $$ m χ ~ 1 0 range. We also obtain current limits on $$ {\lambda}_{123}^{\prime \prime } $$ λ 123 ′ ′ by recasting an existing search interpreted as $$ {B}^0\to {\Lambda}^0{\overset{\sim }{\chi}}_1^0 $$ B 0 → Λ 0 χ ~ 1 0 , and comment about searches for $$ {B}^{+}\to {\Sigma}^{+}{\overset{\sim }{\chi}}_1^0 $$ B + → Σ + χ ~ 1 0 , $$ {B}^0\to {\Sigma}^0{\chi}_1^0 $$ B 0 → Σ 0 χ 1 0 , $$ {B}^{+}\to {\Lambda}_c^{+}{\overset{\sim }{\chi}}_1^0 $$ B + → Λ c + χ ~ 1 0 , and $$ {B}^{+}\to {\Xi}_c^{+}{\overset{\sim }{\chi}}_1^0 $$ B + → Ξ c + χ ~ 1 0 . In closing, we briefly discuss potential searches at the LHCb and BESIII experiments.
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