Nuclear Theory·nucl-th

Thursday·November 10, 2022

9 papers—7 primary·2 cross-listed

08
[Submitted on 9 Nov 2022] (cross-list from hep-ph)
Dihadron production in DIS at NLO: the real corrections
Edmond Iancu🇫🇷 · Yair Mulian🇪🇸
By using the formalism of the light-cone wave function along with the colour glass condensate effective theory, we consider next-to-leading order (NLO) corrections to the production of a pair of hadrons in electron-proton, or electron-nucleus, collisions at small Bjorken $x$ . To the order of interest, the process involves the fluctuation of a virtual photon into a quark-antiquark pair, followed by the emission of a gluon from either the quark, or the antiquark. For the case of a virtual photon with transverse polarization, we compute the real NLO corrections, where the emitted gluon is present in the final state. We first compute the tree-level cross-section for the production of the quark-antiquark-gluon system and then deduce the real NLO corrections to dihadron production by integrating out the kinematics of the gluon. We verify in detail that, in the limit where the gluon is soft, our calculation reproduces the (real piece of the) B-JIMWLK evolution of the leading-order cross-section for quark-antiquark production. Similarly, in the limit where the gluon is collinear with its emitter, we recover the real terms in the DGLAP evolution of the fragmentation function. The virtual NLO corrections to dihadron production will be presented by one of us in a subsequent publication.
Comments:
43 pages, 13 figures
Subjects:
High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2211.04837 [pdf]
JHEP(2023)·41 citations
09
[Submitted on 9 Nov 2022] (cross-list from hep-ph)
Faddeev fixed-center approximation to the $η K^{*} K ˉ^{*}$ , $π K^{*} K ˉ^{*}$ and $K K^{*} K ˉ^{*}$ systems
Qing-Hua Shen🇨🇳 · Ju-Jun Xie🇨🇳
The three-body $η K^{*} K ˉ^{*}$ , $π K^{*} K ˉ^{*}$ and $K K^{*} K ˉ^{*}$ systems are investigated within the framework of fixed-center approximation to the Faddeev equations, where $K^{*} K ˉ^{*}$ is treated as the scalar meson $f_{0} (1710)$ . The interactions between $π$ , $η$ , $K$ and $K^{*}$ are taking from the chiral unitary approach. By scattering the $η$ meson on the clusterized $(K^{*} K ˉ^{*})_{f_{0} (1710)}$ system, we find a peak in the modulus squared of the three-body scattering amplitude and it can be associated as a bound state with quantum numbers $I^{G} (J^{P C}) = 0^{+} (0^{-+})$ . Its mass and width are around 2054 MeV and 60 MeV, respectively. This state could be associated to the $η (2100)$ meson. For the $π (K^{*} K ˉ^{*})_{f_{0} (1710)}$ scattering, we find a bump structure around 1900-2000 MeV with quantum numbers $1^{-} (0^{-+})$ . While for the $K K^{*} K ˉ^{*})_{f_{0} (1710)}$ system, there are three structures. One of them is much stable and its mass is about 2130 MeV. It is expected that these theoretical predictions here could be tested by future experimental measurements, such as by the BESIII, BelleII and LHCb collaborations.
Comments:
10 pages, 15 figures
Subjects:
High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
arXiv:
2211.04911 [pdf]
PRD(2023)·5 citations

Affiliations

first authorsco-authorsvia INSPIRE

Dihadron production in DIS at NLO: the real corrections

Faddeev fixed-center approximation to the ηK∗Kˉ∗, πK∗Kˉ∗ and KK∗Kˉ∗ systems

Affiliations

Faddeev fixed-center approximation to the $η K^{} K ˉ^{}$ , $π K^{} K ˉ^{}$ and $K K^{} K ˉ^{}$ systems