Box Singularity Conditions in Box Diagrams of Decay Processes

Abstract

Since 1959, singularities within single-loop diagrams have been studied. They are believed to significantly influence our understanding of experimental observables. In this study, we explore the singularities that arise from box diagrams in the decay process, which can be classified into two distinct categories. A comprehensive analysis of box singularities has been conducted, wherein we have derived and presented specific conditional formulae to ascertain the occurrence of singularities, along with the related physical scenarios.

References in corpus (37)

• Threshold cusps and triangle singularities in hadronic reactions
• How to reveal the exotic nature of the P_c(4450)
• Understanding the newly observed heavy pentaquark candidates
• Feynman Integrals and Intersection Theory
• A Discussion on Triangle Singularities in the ${\Lambda }_b\to J/\psi K^{-}p$ Reaction
• The puzzle of anomalously large isospin violations in $\eta (1405/1475)\to 3\pi$
• Searching for observable effects induced by anomalous triangle singularities
• Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers
• On the nature of $a_1(1420)$
• Decomposition of Feynman Integrals by Multivariate Intersection Numbers
• Isospin breaking and $f_0(980)$-$a_0(980)$ mixing in the $\eta (1405)\to {\pi }^0{f}_0(980)$ reaction
• Understanding the property of $\eta (1405/1475)$ in the $J/\psi$ radiative decay
• Remarks on the $P_c$ structures and triangle singularities
• Isospin breaking decay $\eta (1405)\to f_0(980){\pi }^0\to 3\pi$
• Role of a triangle singularity in the $\gamma p\to K^{+}\Lambda (1405)$ reaction
• $P_c(4312{)}^{+}$, $P_c(4380{)}^{+}$, and $P_c(4457{)}^{+}$ as double triangle cusps
• Landau Singularities Revisited: Computational Algebraic Geometry for Feynman Integrals
• Triangle singularities in $B^{-}\to K^{-}{\pi }^{-}{D}_{s0}^{+}$ and $B^{-}\to K^{-}{\pi }^{-}{D}_{s1}^{+}$
• Triangle singularity in the $J/\psi \to K^{+}{K}^{-}{f}_0(980)(a_0(980))$ decays
• Triangular singularity and a possible $\varphi p$ resonance in the ${\Lambda }_c^{+}\to {\pi }^0\varphi p$ decay
• Principal Landau Determinants
• Internal particle width effects on the the triangle singularity mechanism in the study of the $\eta (1405)$ and $\eta (1475)$ puzzle
• Exploring possible triangle singularities in the ${\Xi }_b^{-}\to K^{-}J/\psi \Lambda$ decay
• Visible narrow cusp structure in ${\Lambda }_c^{+}\to p{K}^{-}{\pi }^{+}$ enhanced by triangle singularity
• Role of a triangle singularity in the $\pi N(1535)$ contribution to $\gamma p\to p{\pi }^0\eta$
• Role of a triangle singularity in the $\pi \Delta$ decay of the $N(1700)(3/2^{-})$
• Triangle singularities in $B^{-}\to D^{\ast 0}{\pi }^{-}{\pi }^0\eta$ and $B^{-}\to D^{\ast 0}{\pi }^{-}{\pi }^{+}{\pi }^{-}$
• Triangle singularity enhancing isospin violation in ${\bar{B}}_s^0\to J/\psi {\pi }^0{f}_0(980)$
• Triangle singularity in the $B^{-}\to K^{-}{\pi }^{0}X(3872)$ reaction and sensitivity to the $X(3872)$ mass
• Anomalous enhancement of the isospin-violating $\Lambda (1405)$ production by a triangle singularity in ${\Lambda }_c\to {\pi }^{+}{\pi }^0{\pi }^0{\Sigma }^0$
• Triangle singularity in ${\tau }^{-}\to {\nu }_{\tau }{\pi }^{-}{f}_0(980)$ ($a_0(980)$) decays
• Triangle singularity in $B^{-}\to K^{-}X(3872);X\to {\pi }^0{\pi }^{+}{\pi }^{-}$ and the X(3872) mass
• $f_2(1810)$ as a triangle singularity
• Triangle singularities in $J/\psi \to \eta {\pi }^0\varphi$ and ${\pi }^0{\pi }^0\varphi$
• The role of the triangle singularity in $\Lambda (1405)$ production in the ${\pi }^{-}p\to K^0\pi \Sigma$ and $pp\to p{K}^{+}\pi \Sigma$ processes
• Triangle mechanisms in the build up and decay of the $N^{\ast }(1875)$
• Role of the triangle mechanism in the ${\Lambda }_b\to {\Lambda }_c{\pi }^{-}{f}_0(980)$ reaction