We study the transverse momentum ( $p_T$ ) differential anisotropic flow and flow fluctuation in Pb+Pb collisions at $\sqrt{s_{_{NN}}}$ =5.02 TeV at the LHC. A (3+1)-dimensional CLVisc hydrodynamics framework with fluctuating TRENTO (or AMPT) initial conditions is utilized to simulate the space-time evolution of the quark-gluon plasma (QGP) medium. The effects of shear viscosity and the sub-nucleon structure on anisotropic flow and flow fluctuation are analyzed. Our result shows that shear viscosity tends to suppress both flow coefficients ( ${v_2\{2}\}$ , ${v_2\{4\}}$ , and ${\langle v_2\rangle}$ ) and flow fluctuation ( ${\sigma_{v_2}}$ ) owing to its smearing effect on local density fluctuation. The flow coefficients appear to be insensitive to the sub-nucleon structure, whereas the flow fluctuation ${\sigma_{v_2}}$ tends to be suppressed by the sub-nucleon structure in central collisions but enhanced in peripheral collisions. After taking into account the sub-nucleon structure effect, our numerical result can qualitatively describe the relative flow fluctuations ( ${v_2\{4\}/v_2\{2\}}$ , $F({v_2})$ ) measured by the ALICE Collaboration at the LHC. We further investigate the effects of shear viscosity, sub-nucleon structure, and initial condition model on the flow angle and flow magnitude decorrelations ( ${A_2^f}$ , ${M_2^f}$ ) using the four-particle correlation method. We find that the flow decorrelation effect is typically stronger in central collisions than in peripheral collisions. The flow angle decorrelation is found to be insensitive to the shear viscosity and sub-nucleon structure, whereas the flow magnitude decorrelation shows quite different behaviors when using the TRENTO and AMPT initial condition models. Our study sheds light on the anisotropic flow, transport properties, and initial structure of the QGP created in high-energy nuclear collisions.

China

Germany

Jie Zhu

Canada

Xiang-Yu Wu

Guang-You Qin

Anisotropic flow, flow fluctuation, and flow decorrelation in relativistic heavy-ion collisions: the roles of sub-nucleon structure and shear viscosity * Supported in part by the Natural Science Foundation of China (12225503, 11890710, 11890711, 11935007). Zhu Jie is supported in part by the China Scholarship Council (202306770009). Wu Xiang-Yu is supported in part by the National Science Foundation within the framework of the JETSCAPE collaboration (OAC-2004571) and in part by the Natural Sciences and Engineering Research Council of Canada. Some of the calculations were performed in the Nuclear Science Computing Center at Central China Normal University (NSC$^{3}$), Wuhan, Hubei, China.

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

Within the color singlet model, we calculate the exclusive production of double charmonia, double bottomonia, and double  $$B_c$$  <math> <msub> <mi>B</mi> <mi>c</mi> </msub> </math>   mesons at future super Z factory. The two heavy quarkonia or  $$B_c$$  <math> <msub> <mi>B</mi> <mi>c</mi> </msub> </math>  ’s are either two S-wave Fock states ( $$^1S_0, ~^3S_1$$  <math> <mrow> <msup> <mrow></mrow> <mn>1</mn> </msup> <msub> <mi>S</mi> <mn>0</mn> </msub> <mo>,</mo> <msup> <mspace width="3.33333pt"></mspace> <mn>3</mn> </msup> <msub> <mi>S</mi> <mn>1</mn> </msub> </mrow> </math>  ), or one S-wave and one P-wave states ( $$^1P_1,~^3P_J~(J=0,1,2)$$  <math> <mrow> <msup> <mrow></mrow> <mn>1</mn> </msup> <msub> <mi>P</mi> <mn>1</mn> </msub> <mo>,</mo> <msup> <mspace width="3.33333pt"></mspace> <mn>3</mn> </msup> <msub> <mi>P</mi> <mi>J</mi> </msub> <mspace width="3.33333pt"></mspace> <mrow> <mo>(</mo> <mi>J</mi> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow> </math>  ). The top three  $$Z^0$$  <math> <msup> <mi>Z</mi> <mn>0</mn> </msup> </math>   propagated channels in cross sections for double charmonia are  $$\sigma {(J/\psi +h_c)}_{Z^0}=(454.0^{+39.1}_{-59.2})\times 10^{-5} fb, \sigma {(\eta _c+\chi _{c2})}_{Z^0}=(284.2^{+22.2}_{-35.3})\times 10^{-5} fb$$  <math> <mrow> <mi>σ</mi> <msub> <mrow> <mo>(</mo> <mi>J</mi> <mo>/</mo> <mi>ψ</mi> <mo>+</mo> <msub> <mi>h</mi> <mi>c</mi> </msub> <mo>)</mo> </mrow> <msup> <mi>Z</mi> <mn>0</mn> </msup> </msub> <mo>=</mo> <mrow> <mo>(</mo> <mn>454</mn> <mo>.</mo> <msubsup> <mn>0</mn> <mrow> <mo>-</mo> <mn>59.2</mn> </mrow> <mrow> <mo>+</mo> <mn>39.1</mn> </mrow> </msubsup> <mo>)</mo> </mrow> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>-</mo> <mn>5</mn> </mrow> </msup> <mi>f</mi> <mi>b</mi> <mo>,</mo> <mi>σ</mi> <msub> <mrow> <mo>(</mo> <msub> <mi>η</mi> <mi>c</mi> </msub> <mo>+</mo> <msub> <mi>χ</mi> <mrow> <mi>c</mi> <mn>2</mn> </mrow> </msub> <mo>)</mo> </mrow> <msup> <mi>Z</mi> <mn>0</mn> </msup> </msub> <mo>=</mo> <mrow> <mo>(</mo> <mn>284</mn> <mo>.</mo> <msubsup> <mn>2</mn> <mrow> <mo>-</mo> <mn>35.3</mn> </mrow> <mrow> <mo>+</mo> <mn>22.2</mn> </mrow> </msubsup> <mo>)</mo> </mrow> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>-</mo> <mn>5</mn> </mrow> </msup> <mi>f</mi> <mi>b</mi> </mrow> </math>  , and  $$\sigma {(\eta _c+\chi _{c0})}_{Z^0}=(137.0^{+9.9}_{-16.4})\times 10^{-5} fb$$  <math> <mrow> <mi>σ</mi> <msub> <mrow> <mo>(</mo> <msub> <mi>η</mi> <mi>c</mi> </msub> <mo>+</mo> <msub> <mi>χ</mi> <mrow> <mi>c</mi> <mn>0</mn> </mrow> </msub> <mo>)</mo> </mrow> <msup> <mi>Z</mi> <mn>0</mn> </msup> </msub> <mo>=</mo> <mrow> <mo>(</mo> <mn>137</mn> <mo>.</mo> <msubsup> <mn>0</mn> <mrow> <mo>-</mo> <mn>16.4</mn> </mrow> <mrow> <mo>+</mo> <mn>9.9</mn> </mrow> </msubsup> <mo>)</mo> </mrow> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>-</mo> <mn>5</mn> </mrow> </msup> <mi>f</mi> <mi>b</mi> </mrow> </math>  . For double bottomonia, they are  $$\sigma {(\eta _b+\Upsilon )}_{Z^0}=(428.6^{+67.9}_{-60.9})\times 10^{-4} fb, \sigma {(\Upsilon +\chi _{b2})}_{Z^0}=(230.6^{+23.6}_{-22.2})\times 10^{-4} fb$$  <math> <mrow> <mi>σ</mi> <msub> <mrow> <mo>(</mo> <msub> <mi>η</mi> <mi>b</mi> </msub> <mo>+</mo> <mi>Υ</mi> <mo>)</mo> </mrow> <msup> <mi>Z</mi> <mn>0</mn> </msup> </msub> <mo>=</mo> <mrow> <mo>(</mo> <mn>428</mn> <mo>.</mo> <msubsup> <mn>6</mn> <mrow> <mo>-</mo> <mn>60.9</mn> </mrow> <mrow> <mo>+</mo> <mn>67.9</mn> </mrow> </msubsup> <mo>)</mo> </mrow> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>-</mo> <mn>4</mn> </mrow> </msup> <mi>f</mi> <mi>b</mi> <mo>,</mo> <mi>σ</mi> <msub> <mrow> <mo>(</mo> <mi>Υ</mi> <mo>+</mo> <msub> <mi>χ</mi> <mrow> <mi>b</mi> <mn>2</mn> </mrow> </msub> <mo>)</mo> </mrow> <msup> <mi>Z</mi> <mn>0</mn> </msup> </msub> <mo>=</mo> <mrow> <mo>(</mo> <mn>230</mn> <mo>.</mo> <msubsup> <mn>6</mn> <mrow> <mo>-</mo> <mn>22.2</mn> </mrow> <mrow> <mo>+</mo> <mn>23.6</mn> </mrow> </msubsup> <mo>)</mo> </mrow> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>-</mo> <mn>4</mn> </mrow> </msup> <mi>f</mi> <mi>b</mi> </mrow> </math>  , and  $$\sigma {(\Upsilon +\Upsilon )}_{Z^0}=(119.9^{+18.4}_{-16.6})\times 10^{-4} fb$$  <math> <mrow> <mi>σ</mi> <msub> <mrow> <mo>(</mo> <mi>Υ</mi> <mo>+</mo> <mi>Υ</mi> <mo>)</mo> </mrow> <msup> <mi>Z</mi> <mn>0</mn> </msup> </msub> <mo>=</mo> <mrow> <mo>(</mo> <mn>119</mn> <mo>.</mo> <msubsup> <mn>9</mn> <mrow> <mo>-</mo> <mn>16.6</mn> </mrow> <mrow> <mo>+</mo> <mn>18.4</mn> </mrow> </msubsup> <mo>)</mo> </mrow> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>-</mo> <mn>4</mn> </mrow> </msup> <mi>f</mi> <mi>b</mi> </mrow> </math>  . For double  $$B_c$$  <math> <msub> <mi>B</mi> <mi>c</mi> </msub> </math>   mesons, they are  $$\sigma {(B_c^{*+}+B_c^{*-})}_{Z^0}=(1150^{+87}_{-84})\times 10^{-3} fb$$  <math> <mrow> <mi>σ</mi> <msub> <mrow> <mo>(</mo> <msubsup> <mi>B</mi> <mi>c</mi> <mrow> <mrow></mrow> <mo>∗</mo> <mo>+</mo> </mrow> </msubsup> <mo>+</mo> <msubsup> <mi>B</mi> <mi>c</mi> <mrow> <mrow></mrow> <mo>∗</mo> <mo>-</mo> </mrow> </msubsup> <mo>)</mo> </mrow> <msup> <mi>Z</mi> <mn>0</mn> </msup> </msub> <mo>=</mo> <mrow> <mo>(</mo> <msubsup> <mn>1150</mn> <mrow> <mo>-</mo> <mn>84</mn> </mrow> <mrow> <mo>+</mo> <mn>87</mn> </mrow> </msubsup> <mo>)</mo> </mrow> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>-</mo> <mn>3</mn> </mrow> </msup> <mi>f</mi> <mi>b</mi> </mrow> </math>  ,  $$\sigma {(B_c^{*+}+\chi _{bc2}^-)}_{Z^0}=(1133^{-16}_{+22})\times 10^{-3} fb$$  <math> <mrow> <mi>σ</mi> <msub> <mrow> <mo>(</mo> <msubsup> <mi>B</mi> <mi>c</mi> <mrow> <mrow></mrow> <mo>∗</mo> <mo>+</mo> </mrow> </msubsup> <mo>+</mo> <msubsup> <mi>χ</mi> <mrow> <mi>b</mi> <mi>c</mi> <mn>2</mn> </mrow> <mo>-</mo> </msubsup> <mo>)</mo> </mrow> <msup> <mi>Z</mi> <mn>0</mn> </msup> </msub> <mo>=</mo> <mrow> <mo>(</mo> <msubsup> <mn>1133</mn> <mrow> <mo>+</mo> <mn>22</mn> </mrow> <mrow> <mo>-</mo> <mn>16</mn> </mrow> </msubsup> <mo>)</mo> </mrow> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>-</mo> <mn>3</mn> </mrow> </msup> <mi>f</mi> <mi>b</mi> </mrow> </math>  , and  $$\sigma {(\eta _{bc}^++B_c^{*-})}_{Z^0}=(634.6^{+47.8}_{-45.8})\times 10^{-3} fb$$  <math> <mrow> <mi>σ</mi> <msub> <mrow> <mo>(</mo> <msubsup> <mi>η</mi> <mrow> <mi>bc</mi> </mrow> <mo>+</mo> </msubsup> <mo>+</mo> <msubsup> <mi>B</mi> <mi>c</mi> <mrow> <mrow></mrow> <mo>∗</mo> <mo>-</mo> </mrow> </msubsup> <mo>)</mo> </mrow> <msup> <mi>Z</mi> <mn>0</mn> </msup> </msub> <mo>=</mo> <mrow> <mo>(</mo> <mn>634</mn> <mo>.</mo> <msubsup> <mn>6</mn> <mrow> <mo>-</mo> <mn>45.8</mn> </mrow> <mrow> <mo>+</mo> <mn>47.8</mn> </mrow> </msubsup> <mo>)</mo> </mrow> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>-</mo> <mn>3</mn> </mrow> </msup> <mi>f</mi> <mi>b</mi> </mrow> </math>  . Here the uncertainties come from the varying masses of constituent heavy quarks, which bring up to 20% corrections. The cross sections of double  $$B_c$$  <math> <msub> <mi>B</mi> <mi>c</mi> </msub> </math>   mesons are roughly one order of magnitude larger than those of the double bottomonia, and two orders of magnitude larger than those of the double charmonia. To make it helpful for experimental study, we present the total cross sections  $$\sigma $$  <math> <mi>σ</mi> </math>   as functions of CM energy  $$\sqrt{s}$$  <math> <msqrt> <mi>s</mi> </msqrt> </math>  ,  $$\sigma $$  <math> <mi>σ</mi> </math>   as functions of the renormalization scale  $$\mu $$  <math> <mi>μ</mi> </math>  , the angle distributions  $$d\sigma /dcos\theta $$  <math> <mrow> <mi>d</mi> <mi>σ</mi> <mo>/</mo> <mi>d</mi> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mi>θ</mi> </mrow> </math>  , and the  $$p_T$$  <math> <msub> <mi>p</mi> <mi>T</mi> </msub> </math>   distributions  $$d\sigma /dp_{t}$$  <math> <mrow> <mi>d</mi> <mi>σ</mi> <mo>/</mo> <mi>d</mi> <msub> <mi>p</mi> <mi>t</mi> </msub> </mrow> </math>  . We also find that the initial state radiation can bring about 30–40% suppresions when 1% $$m_Z$$  <math> <msub> <mi>m</mi> <mi>Z</mi> </msub> </math>   energy is losing, and cross sections can increase by about 2–3 times or decrease by an order of magnitude when adopting different potential models which becomes the major source of uncertainty. The numerical results show that it might be not optimistic for the experimental observation, but it is still far from excluded at the FCC-ee and also the CEPC running in the Z factory mode.

Qi-Li Liao

Jun Jiang

Yu-Han Zhao

Production of double heavy quarkonia at super Z factory

Using the vector exchange interaction in the local hidden gauge approach, which in the light quark sector generates the chiral Lagrangians and has produced realistic results for 
					 and the hidden charm pentaquark states, we study the meson-baryon interactions in the coupled channels that lead to the 
					 and 
					 excited states of the molecular type. We obtain seven states of the 
					 type with energies between 
					 and 
					 MeV, and one 
					 state at 
					 MeV.
				

Brazil

J. M. Dias

Qi-Xin Yu

Wei-Hong Liang

Zhi-Feng Sun

Ju-Jun Xie

Spain

E. Oset

Ξbb and Ωbbb molecular states Partly supported by the National Natural Science Foundation of China (11975083, 11947413, 11847317, 11565007, 11735003, 1191101015). Q. X Yu acknowledges the support from the National Natural Science Foundation of China (11775024, 11575023, 11805153) and China Scholarship Council. Partly supported by the Spanish Ministerio de Economia y Competitividad and European FEDER funds (FIS2017- 84038-C2-1-P B, FIS2017-84038-C2-2-P B), and the Generalitat Valenciana in the program Prometeo II-2014/068, and the project Severo Ochoa of IFIC, SEV-2014-0398

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).

Considering the constraints from collider experiments and dark matter detection, we investigate the SUSY effects in the Higgs production channels e+ e− → Zh at an e+ e− collider with a center-of-mass energy above 240 GeV and γγ → h → bb̄ at a photon collider with a center-of-mass energy above 125 GeV. In the parameter space allowed by current experiments, we find that the SUSY corrections to e+ e− → Zh can reach a few percent and the production rate of γγ → h → bb̄ can be enhanced by a factor of 1.2 over the SM prediction. We also calculate the exotic Higgs production e+ e−→ Zh1 in the next-to-minimal supersymmetric model (NMSSM) (h is the SM-like Higgs, h1 is the CP-even Higgs bosons which can be much lighter than h). We find that at a 250 GeV e+ e− collider the production rates of e+ e−→ Zh1 can reach 60 fb.

Junjie Cao

South Korea

Japan

Chengcheng Han

Jie Ren

Australia

Lei Wu

Jin-Min Yang

Yang Zhang

SUSY effects in Higgs production at high energy e+ e− collidersSupported by National Natural Science Foundation of China (NNSFC)(10821504, 11222548, 11305049, 11135003), Program for New Century Excellent Talents in University, and ARC Center of Excellence for Particle Physics at Tera-scale. C. Han is supported by World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan

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]