Motivated by the work of Cardoso et al. (2022) <cross-ref refid='br0150' id='crf0030'>[15]</cross-ref> on black holes in galaxies, we derive a new black hole solution surrounded by a Dekel-Zhao (DZ) dark matter profile. The derived metric, influenced by DZ profile parameters, exhibits two distinct regimes: for <math altimg='si1.svg'><mi>r</mi><mo>&#8810;</mo><msub><mrow><mi>r</mi></mrow><mrow><mi mathvariant='normal'>c</mi></mrow></msub></math> ( <math altimg='si2.svg'><msub><mrow><mi>r</mi></mrow><mrow><mi mathvariant='normal'>c</mi></mrow></msub></math> is a characteristic radius), exponential corrections dominate, producing significant deviations from the Schwarzschild solution near dense cores, while for <math altimg='si3.svg'><mi>r</mi><mo>&#8811;</mo><msub><mrow><mi>r</mi></mrow><mrow><mi mathvariant='normal'>c</mi></mrow></msub></math>, these corrections vanish, restoring the Schwarzschild metric at large distances. These findings ensure consistency with general relativity in vacuum. The black hole shadow and deflection angle are analyzed, demonstrating that the shadow radius increases with black hole mass ( <math altimg='si4.svg'><msub><mrow><mi>M</mi></mrow><mrow><mi mathvariant='normal'>BH</mi></mrow></msub></math>), while higher central densities ( <math altimg='si5.svg'><msub><mrow><mi>&#961;</mi></mrow><mrow><mi mathvariant='normal'>ch</mi></mrow></msub></math>) result in smaller shadows, reflecting the environmental impact of dense dark matter halos. Photon dynamics reveal how DZ profiles modify critical impact parameters and effective potentials, with gravitational lensing effects highly sensitive to the characteristic radius ( <math altimg='si2.svg'><msub><mrow><mi>r</mi></mrow><mrow><mi mathvariant='normal'>c</mi></mrow></msub></math>). Smaller <math altimg='si2.svg'><msub><mrow><mi>r</mi></mrow><mrow><mi mathvariant='normal'>c</mi></mrow></msub></math> values lead to larger deflection angles due to stronger gravitational effects near compact cores. This work highlights the significance dark matter profiles in shaping black hole observables, providing a theoretical foundation for future observational studies and advancing the understanding of dark matter-black hole interactions in astrophysical and cosmological contexts.

Türkiye

Ali Övgün

Philippines

Reggie C. Pantig

Black hole in the Dekel-Zhao dark matter profile

The effect of the interaction between hyperons on the properties of proto neutron star (PNS) PSR J0740+6620 is examined with relativistic mean field theory in consideration of a baryon octet. The nucleon coupling constant GM1 is used and the temperature of the PNS is chosen as T = 20 MeV. Under the constraint of the mass of the PNS PSR J0740+6620 M = 2.14 M $$_{\odot }$$  <math> <msub> <mrow></mrow> <mo>⊙</mo> </msub> </math>  , the PNS’s radius decreases by 0.13% from R = 14.262 km to R = 14.243 km, the central chemical potential of the neutron increases by 0.23% from  $$\mu _{n,c}$$  <math> <msub> <mi>μ</mi> <mrow> <mi>n</mi> <mo>,</mo> <mi>c</mi> </mrow> </msub> </math>   = 6.868 fm $$^{-1}$$  <math> <msup> <mrow></mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> </math>   to  $$\mu _{n,c}$$  <math> <msub> <mi>μ</mi> <mrow> <mi>n</mi> <mo>,</mo> <mi>c</mi> </mrow> </msub> </math>   = 6.884 fm $$^{-1}$$  <math> <msup> <mrow></mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> </math>  , the central chemical potential of the electron decreases by 1.4% from  $$\mu _{e,c}$$  <math> <msub> <mi>μ</mi> <mrow> <mi>e</mi> <mo>,</mo> <mi>c</mi> </mrow> </msub> </math>   = 1.001 fm $$^{-1}$$  <math> <msup> <mrow></mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> </math>   to  $$\mu _{e,c}$$  <math> <msub> <mi>μ</mi> <mrow> <mi>e</mi> <mo>,</mo> <mi>c</mi> </mrow> </msub> </math>   = 0.987 fm $$^{-1}$$  <math> <msup> <mrow></mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> </math>   and the central energy density increases by 1.4% from  $$\varepsilon _{c}$$  <math> <msub> <mi>ε</mi> <mi>c</mi> </msub> </math>   = 1.117 $$\times 10^{15}$$  <math> <mrow> <mo>×</mo> <msup> <mn>10</mn> <mn>15</mn> </msup> </mrow> </math>   g cm $$^{-3}$$  <math> <msup> <mrow></mrow> <mrow> <mo>-</mo> <mn>3</mn> </mrow> </msup> </math>   to  $$\varepsilon _{c}$$  <math> <msub> <mi>ε</mi> <mi>c</mi> </msub> </math>   = 1.133 $$\times 10^{15}$$  <math> <mrow> <mo>×</mo> <msup> <mn>10</mn> <mn>15</mn> </msup> </mrow> </math>   g cm $$^{-3}$$  <math> <msup> <mrow></mrow> <mrow> <mo>-</mo> <mn>3</mn> </mrow> </msup> </math>  , taking into account the interaction between the hyperons. The interaction between hyperons also has an effect on the effective mass and the effect is greatest at the centers of PNSs. Baryons n, p,  $$\varLambda $$  <math> <mi>Λ</mi> </math>  ,  $$\varSigma ^{+}$$  <math> <msup> <mi>Σ</mi> <mo>+</mo> </msup> </math>  ,  $$\varSigma ^{0}$$  <math> <msup> <mi>Σ</mi> <mn>0</mn> </msup> </math>  ,  $$\varSigma ^{-}$$  <math> <msup> <mi>Σ</mi> <mo>-</mo> </msup> </math>  ,  $$\varXi ^{0}$$  <math> <msup> <mi>Ξ</mi> <mn>0</mn> </msup> </math>   and  $$\varXi ^{-}$$  <math> <msup> <mi>Ξ</mi> <mo>-</mo> </msup> </math>   all will be generated in PNS PSR J0740+6620 regardless of whether the interaction between hyperons is considered. Considering the interaction between hyperons, the relative density of n decreases, while the relative density of p,  $$\varLambda $$  <math> <mi>Λ</mi> </math>  ,  $$\varSigma ^{+}$$  <math> <msup> <mi>Σ</mi> <mo>+</mo> </msup> </math>  ,  $$\varSigma ^{0}$$  <math> <msup> <mi>Σ</mi> <mn>0</mn> </msup> </math>  ,  $$\varSigma ^{-}$$  <math> <msup> <mi>Σ</mi> <mo>-</mo> </msup> </math>  ,  $$\varXi ^{0}$$  <math> <msup> <mi>Ξ</mi> <mn>0</mn> </msup> </math>   and  $$\varXi ^{-}$$  <math> <msup> <mi>Ξ</mi> <mo>-</mo> </msup> </math>   increases, indicating that more n are converted into p and hyperons such as  $$\varLambda $$  <math> <mi>Λ</mi> </math>  ,  $$\varSigma ^{+}$$  <math> <msup> <mi>Σ</mi> <mo>+</mo> </msup> </math>  ,  $$\varSigma ^{0}$$  <math> <msup> <mi>Σ</mi> <mn>0</mn> </msup> </math>  ,  $$\varSigma ^{-}$$  <math> <msup> <mi>Σ</mi> <mo>-</mo> </msup> </math>  ,  $$\varXi ^{0}$$  <math> <msup> <mi>Ξ</mi> <mn>0</mn> </msup> </math>   and  $$\varXi ^{-}$$  <math> <msup> <mi>Ξ</mi> <mo>-</mo> </msup> </math>   in the PNS.

China

Xian-Feng Zhao

Ting-Ping Liu

Effect of hyperon interaction on properties of proto neutron star PSR J0740+6620

Recently, it has been shown that in gauge theories amplitudes to any perturbation order can be obtained by gluing together simple three-point on-shell amplitudes. These three-point amplitudes, in turn, are fixed by locality and Lorentz invariance. This factorization into three-point on-shell amplitudes follows from the Britto-Cachazo-Feng-Witten recursion relations and the Feynman-tree theorem. In an explicit example, that is, the four-gluon amplitude with all plus helicities, we illustrate the method. In a conventional calculation, this amplitude corresponds to one-loop box diagrams.

Chile

M. Maniatis

Application of Britto-Cachazo-Feng-Witten recursion relations and the Feynman-tree theorem to the four-gluon amplitude with all plus helicities

We explore the discovery potential of Higgs pair production at a 100 TeV collider via full leptonic mode. The same mode can be explored at the LHC when Higgs pair production is enhanced by new physics. We examine two types of fully leptonic final states and propose a partial reconstruction method, which can reconstruct some useful kinematic observables. It is found that the mT2 variable determined by this reconstruction method and the reconstructed visible Higgs mass are crucial to discriminate the signal and background events. It is also noticed that a new variable, denoted as Δm, which is defined as the mass difference of two possible combinations, is very useful as a discriminant. To examine the detector effects, we consider seven detector setups for a 100 TeV collider and investigate the changes in the sensitivity, and we find that lepton isolation and the minimal lepton Pt cut are crucial in order to reduce the integrated luminosity.

Belgium

Xiaoran Zhao

Qiang Li

Zhao Li

Qi-Shu Yan

Discovery potential of Higgs boson pair production through final states at a 100 TeV colliderSupported by Natural Science Foundation of China (11175251, 11305179, 11675185, 11475180, 11575005) The work of Q. Li and Q.S. Yan is partially supported by CAS Center for Excellence in Particle Physics (CCEPP), X. Zhao is partially supported by the European Union as part of the FP7 Marie Curie Initial Training Network MCnetITN (PITN-GA-2012-315877).

None Supervisory Editors of Nuclear Physics B

Editorial note on “Lepton-flavor violation and (g−2)μ in the μν SSM” by Hai-Bin Zhang, Tai-Fu Feng, Shu-Min Zhao and Tie-Jun Gao [Nucl. Phys. B 873 (2) (2013) 300–324]