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1. A search for top-squark pair production, in final states containing a top quark, a charm quark and missing transverse momentum, using the 139 fb−1 of pp collision data collected by the ATLAS detector

   https://doi.org/10.1007/JHEP07(2024)250  

   Aad, G; Abbott, B; Abeling, K; Abicht, N J; Abidi, S H; Aboulhorma, A; Abramowicz, H; Abreu, H; Abulaiti, Y; Acharya, B S; et al (July 2024, Journal of High Energy Physics)

   A<sc>bstract</sc> This paper presents a search for top-squark pair production in final states with a top quark, a charm quark and missing transverse momentum. The data were collected with the ATLAS detector during LHC Run 2 and correspond to an integrated luminosity of 139 fb⁻¹of proton-proton collisions at a centre-of-mass energy of$$ \sqrt{s} $$ $\sqrt{s}$= 13 TeV. The analysis is motivated by an extended Minimal Supersymmetric Standard Model featuring a non-minimal flavour violation in the second- and third-generation squark sector. The top squark in this model has two possible decay modes, either$$ {\tilde{t}}_1\to c{\overset{\sim }{\chi}}_1^0 $$ ${\tilde{t}}_1\to c{\tilde{\chi }}_1^0$or$$ {\tilde{t}}_1\to t{\overset{\sim }{\chi}}_1^0 $$ ${\tilde{t}}_1\to t{\tilde{\chi }}_1^0$, where the$$ {\overset{\sim }{\chi}}_1^0 $$ ${\tilde{\chi }}_1^0$is undetected. The analysis is optimised assuming that both of the decay modes are equally probable, leading to the most likely final state of$$ tc+{E}_T^{\textrm{miss}} $$ $\mathrm{tc}+E_T^{\text{miss}}$. Good agreement is found between the Standard Model expectation and the data in the search regions. Exclusion limits at 95% CL are obtained in the$$ m\left({\tilde{t}}_1\right) $$ $m\left({\tilde{t}}_1\right)$vs.$$ m\left({\overset{\sim }{\chi}}_1^0\right) $$ $m\left({\tilde{\chi }}_1^0\right)$plane and, in addition, limits on the branching ratio of the$$ {\tilde{t}}_1\to t{\overset{\sim }{\chi}}_1^0 $$ ${\tilde{t}}_1\to t{\tilde{\chi }}_1^0$decay as a function ofm($$ {\tilde{t}}_1 $$ ${\tilde{t}}_1$) are also produced. Top-squark masses of up to 800 GeV are excluded for scenarios with light neutralinos, and top-squark masses up to 600 GeV are excluded in scenarios where the neutralino and the top squark are almost mass degenerate. 

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2. Ising field theory in a magnetic field: φ3 coupling at T > Tc

   https://doi.org/10.1007/JHEP08(2023)161  

   Xu, Hao-Lan; Zamolodchikov, Alexander (August 2023, Journal of High Energy Physics)

   A<sc>bstract</sc> We study the “three particle coupling”$$ {\Gamma}_{11}^1\left(\xi \right) $$ ${\Gamma }_{11}^1\left(\xi \right)$, in 2dIsing Field Theory in a magnetic field, as the function of the scaling parameterξ:=h/(−m)^15/8, wherem∼T_c−Tandh∼Hare scaled deviation from the critical temperature and scaled external field, respectively. The “φ³coupling”$$ {\Gamma}_{11}^1 $$ ${\Gamma }_{11}^1$is defined in terms of the residue of the 2 → 2 elastic scattering amplitude at its pole associated with the lightest particle itself. We limit attention to the High-Temperature domain, so thatmis negative. We suggest “standard analyticity”:$$ {\left({\Gamma}_{11}^1\right)}^2 $$ ${\left({\Gamma }_{11}^1\right)}^2$, as the function ofu:=ξ², is analytic in the whole complexu-plane except for the branch cut from – ∞ to –u₀≈ – 0.03585, the latter branching point –u₀being associated with the Yang-Lee edge singularity. Under this assumption, the values of$$ {\Gamma}_{11}^1 $$ ${\Gamma }_{11}^1$at any complexuare expressed through the discontinuity across the branch cut. We suggest approximation for this discontinuity which accounts for singular expansion of$$ {\Gamma}_{11}^1 $$ ${\Gamma }_{11}^1$near the Yang-Lee branching point, as well as its known asymptotic atu →+∞. The resulting dispersion relation agrees well with known exact data, and with numerics obtained via Truncated Free Fermion Space Approach. This work is part of extended project of studying the S-matrix of the Ising Field Theory in a magnetic field. 

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3. Fractionalization of coset non-invertible symmetry and exotic Hall conductance

   https://doi.org/10.21468/SciPostPhys.17.3.095  

   Hsin, Po-Shen; Kobayashi, Ryohei; Zhang, Carolyn (January 2024, SciPost Physics)

   We investigate fractionalization of non-invertible symmetry in (2+1)D topological orders. We focus on coset non-invertible symmetries obtained by gauging non-normal subgroups of invertible0 $0$-form symmetries. These symmetries can arise as global symmetries in quantum spin liquids, given by the quotient of the projective symmetry group by a non-normal subgroup as invariant gauge group. We point out that such coset non-invertible symmetries in topological orders can exhibit symmetry fractionalization: each anyon can carry a “fractional charge” under the coset non-invertible symmetry given by a gauge invariant superposition of fractional quantum numbers. We present various examples using field theories and quantum double lattice models, such as fractional quantum Hall systems with charge conjugation symmetry gauged and finite group gauge theory from gauging a non-normal subgroup. They include symmetry enrichedS_3 $S_3$andO(2) $O\left(2\right)$gauge theories. We show that such systems have a fractionalized continuous non-invertible coset symmetry and a well-defined electric Hall conductance. The coset symmetry enforces a gapless edge state if the boundary preserves the continuous non-invertible symmetry. We propose a general approach for constructing coset symmetry defects using a “sandwich” construction: non-invertible symmetry defects can generally be constructed from an invertible defect sandwiched by condensation defects. The anomaly free condition for finite coset symmetry is also identified. 

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4. Search for $$ {\textrm{B}}_{\textrm{s}}^0 $$ → ℓ∓τ± with the semi-leptonic tagging method at Belle

   https://doi.org/10.1007/JHEP08(2023)178  

   Nayak, L; Nishida, S; Giri, A; Adachi, I; Aihara, H; Asner, D M; Atmacan, H; Aulchenko, V; Aushev, T; Ayad, R; et al (August 2023, Journal of High Energy Physics)

   A<sc>bstract</sc> We present a search for the lepton-flavor-violating decays$$ {B}_s^0 $$ $B_s^0$→ℓ^∓τ^±, whereℓ=e, μ, using the full data sample of 121 fb⁻¹collected at the Υ(5S) resonance with the Belle detector at the KEKB asymmetric-energye⁺e⁻collider. We use$$ {B}_s^0{\overline{B}}_s^0 $$ $B_s^0{\overline{B}}_s^0$events in which one$$ {B}_s^0 $$ $B_s^0$meson is reconstructed in a semileptonic decay mode and the other in the signal mode. We find no evidence for$$ {B}_s^0 $$ $B_s^0$→ ℓ^∓τ^±decays and set upper limits on their branching fractions at 90% confidence level as$$ \mathcal{B} $$ $B$($$ {B}_s^0 $$ $B_s^0$→ e^∓τ^±)<14×10⁻⁴and$$ \mathcal{B} $$ $B$($$ {B}_s^0 $$ $B_s^0$→ μ^∓τ^±)<7.3×10⁻⁴. Our result represents the first upper limit on the$$ {B}_s^0 $$ $B_s^0$→ e^∓τ^±decay rate. 

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5. The $$ {D}_3^{(2)} $$ spin chain and its finite-size spectrum

   https://doi.org/10.1007/JHEP11(2023)095  

   Frahm, Holger; Gehrmann, Sascha; Nepomechie, Rafael I.; Retore, Ana L. (November 2023, Journal of High Energy Physics)

   A<sc>bstract</sc> Using the analytic Bethe ansatz, we initiate a study of the scaling limit of the quasi-periodic$$ {D}_3^{(2)} $$ $D_3^{\left(2\right)}$spin chain. Supported by a detailed symmetry analysis, we determine the effective scaling dimensions of a large class of states in the parameter regimeγ∈ (0,$$ \frac{\pi }{4} $$ $\frac{\pi }{4}$). Besides two compact degrees of freedom, we identify two independent continuous components in the finite-size spectrum. The influence of large twist angles on the latter reveals also the presence of discrete states. This allows for a conjecture on the central charge of the conformal field theory describing the scaling limit of the lattice model. 

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