Rare Decay of the -Boson: A Physics Frontier
Researchers are optimistic about observing the rare decay of the -boson into quark pairs.
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The decay of particles is a crucial area of study in physics, particularly in understanding the behavior of the fundamental forces. One interesting decay process is the rare decay of the -boson into pairs of heavy quarks. This decay process has garnered attention because it provides a unique opportunity to study the production of Heavy Quarkonium, which is a type of bound state of heavy quarks.
In recent years, experiments have been conducted to search for this decay, but it has not yet been observed. Despite this, scientists remain optimistic about the possibilities of observing this decay in future experiments at various particle colliders.
The Significance of the -boson Decay
The decay of the -boson into double quark pairs is important for several reasons. First, it can help scientists test the predictions of the standard model of particle physics, which describes how particles interact with each other. Second, it could provide insights into physics beyond the standard model, particularly in understanding why certain particles behave the way they do.
As technology advances and new particle colliders are developed, the hope is that researchers will finally observe this decay. These colliders, such as the International Linear Collider (ILC) and the Future Circular Collider (FCC), are designed to produce large numbers of Bosons, giving scientists ample opportunities to study rare decay processes.
Previous Studies
The study of the -boson decay into double quark pairs has a history that stretches back several decades. Initial studies focused on the leading-order contributions to the decay process. Researchers utilized a theoretical framework known as nonrelativistic Quantum Chromodynamics (NRQCD), which allows for the calculation of decay rates and branching fractions of heavy quarkonium states.
However, early analyses often disregarded higher-order corrections, which can significantly impact the decay rates. More recent studies have sought to incorporate these corrections into their calculations, leading to improved predictions of decay rates.
One important aspect of the decay process involves photon fragmentation. This mechanism occurs when a virtual photon transitions into a pair of quarks, followed by the fragmentation of these quarks into other particles. This process is believed to be the dominant contribution to the Decay Width of the -boson into heavy quark pairs.
A New Approach to Calculation
The latest research has introduced an improved method for calculating the decay width of the -boson. This approach focuses on breaking down the decay amplitude into two distinct parts: one associated with the photon fragmentation and the other with the non-fragmentation contributions.
For the photon fragmentation amplitude, researchers extract values from previously measured results. This allows them to bypass complex calculations that are typically associated with higher-order corrections. By utilizing experimental data, scientists can gain a better understanding of the contributions from various sources.
On the other hand, non-fragmentation contributions are calculated using established methods, which include quantum chromodynamics and NRQCD factorization. While these contributions are smaller compared to the fragmentation contributions, they still play a significant role in determining the overall decay width.
Key Results
The results of these calculations have provided valuable insights. The photon fragmentation contribution is found to dominate the decay width, representing a substantial portion of the total decay rate. In contrast, the non-fragmentation contributions are relatively smaller, making it essential to account for them to ensure accurate predictions.
Researchers have also established numerical values for various parameters involved in the decay process. These parameters are crucial for calculating the decay width and branching fraction of the decay. Theoretical predictions for the decay width have indicated that there is a substantial chance of observing this decay in the near future, especially with upcoming experiments.
Uncertainty and Limitations
While calculations have improved, there remain uncertainties that must be addressed. Factors such as the choice of scales used in the calculations and the values of specific parameters can introduce variation in the results. Researchers have made efforts to quantify these uncertainties, aiming to provide a more comprehensive understanding of the decay process.
One of the main sources of uncertainty stems from the correct identification of the charm quark mass. This mass can vary based on different theoretical frameworks, leading to differences in the predicted decay rates.
Furthermore, although calculations have improved, the underlying complexity of the processes involved still leaves room for refinements. Ongoing research is crucial to address these uncertainties and enhance the accuracy of predictions.
Future Prospects
The ongoing development of new colliders offers hope for the future. As technology advances and more data become available, the chances of observing the rare decay of the -boson into double quark pairs will increase. Researchers are excited about the prospect of new findings that could further our understanding of fundamental particles.
These future collider experiments aim to generate copious amounts of bosons, allowing scientists to perform detailed studies of decay processes. By combining experimental data with theoretical calculations, researchers hope to confirm or refute existing predictions and uncover new physics.
Conclusion
In summary, the decay of the -boson into double quark pairs remains a topic of significant interest within the physics community. Improvements in theoretical calculations, coupled with advancements in experimental techniques, pave the way for potential observations of this rare decay. As physicists continue to refine their models and gather data, the excitement surrounding the possibilities for new discoveries grows.
Through careful analysis, collaboration, and a commitment to scientific inquiry, researchers aim to unlock the mysteries surrounding this decay process and its implications for our understanding of the universe. The journey is ongoing, and the future holds potential for meaningful discoveries in particle physics.
Title: Improved analysis of double $J/\psi$ production in $Z$-boson decay
Abstract: In this paper, we present an improved calculation for the decay rate of the rare $Z$-boson decay into $J/\psi + J/\psi$. This decay is dominated by the photon fragmentation mechanism, i.e., the transition $Z\to J/\psi + \gamma^{*}$ followed by the fragmentation $\gamma^{*}\to J/\psi$. In our calculation, the amplitude of $\gamma^{*}\to J/\psi$ is extracted from the measured value of $\Gamma(J/\psi \to e^+ e^-)$, and the amplitude of $Z\to J/\psi + \gamma^{*}$ is calculate through the light-cone approach. The higher-order QCD and relativistic corrections in the amplitude of $\gamma^{*}\to J/\psi$ and the large logarithms of $m_{_Z}^2/m_c^2$ that appear in the amplitude of $Z\to J/\psi + \gamma^{*}$ are resummed in our calculation. Besides, the non-fragmentation amplitude is calculated based on the NRQCD factorization, and the next-to-leading order QCD and relativistic corrections are included. The obtained branching fraction for this $Z$ decay channel is $8.66 ^{+1.48} _{-0.69}\times 10^{-11}$.
Authors: Guang-Yu Wang, Xing-Gang Wu, Xu-Chang Zheng, Jiang Yan, Jia-Wei Zhang
Last Update: 2024-04-11 00:00:00
Language: English
Source URL: https://arxiv.org/abs/2404.07777
Source PDF: https://arxiv.org/pdf/2404.07777
Licence: https://creativecommons.org/licenses/by/4.0/
Changes: This summary was created with assistance from AI and may have inaccuracies. For accurate information, please refer to the original source documents linked here.
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