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Understanding the Higgs Boson and Bottom Quarks

An overview of the Higgs boson and its relationship with bottom quarks.

Jian Wang, Xing Wang, Yefan Wang

― 6 min read


Higgs Boson and Bottom Higgs Boson and Bottom Quarks Explained and mass interactions. A critical look at Higgs boson decay
Table of Contents

Let’s talk about the Higgs boson. If you’ve ever heard of it, you might think of it as a fancy, mysterious particle that scientists are very excited about. Why? Because it helps explain why other particles, like Bottom Quarks, have mass. Think of it as a tiny superhero helping out its fellow particles.

What is the Higgs Boson?

The Higgs boson is an important piece of the puzzle in particle physics, which is all about the tiny building blocks of everything we see around us, from trees to stars. Discovered in 2012, it confirmed a theory that had been around since the 1960s. Imagine looking for the last missing piece of your favorite puzzle, and when you find it, everything falls into place. That’s what the discovery of the Higgs boson was like for scientists!

The Big Deal About Decay

Now, when we say "decay," we don't mean it like old fruit going bad on your kitchen counter. In the particle world, decay is when a particle transforms into other particles. The Higgs boson is pretty famous because it can decay into different types of particles, but one of its most common transformations is into bottom quarks.

Why bottom quarks? Well, they are like the good friends of the Higgs boson. When the Higgs boson decays into bottom quarks, it helps us learn about how strongly these quarks interact with the Higgs. This interaction is measured by something called the Yukawa Coupling. Think of Yukawa coupling as a friendly handshake that helps us understand how tightly two friends hold on to each other.

Why Bottom Quarks Matter

Bottom quarks are fundamental particles that make up protons and neutrons. If we think of bottom quarks as players on a sports team, the Higgs boson would be the coach. When the Higgs boson decays into bottom quarks, it gives us valuable information about the ‘team dynamics’ of particle physics. By studying these decays, we can learn more about the properties of the bottom quark, including its mass.

How Do Scientists Measure This?

To measure the decay of the Higgs boson into bottom quarks, scientists look at how often this decay happens compared to other types of decays. This is like counting how many times a basketball player scores compared to how many times they miss. Scientists use massive machines called particle colliders to create Higgs Bosons, which then decay almost instantly. They catch these decays using advanced detectors that can pick up the particles produced when the Higgs boson decays.

The Calculations Behind the Scenes

Here comes the math-y part-but don’t worry! This is where we can have a bit of fun with numbers.

The decay width of the Higgs boson into bottom quarks can be calculated using some complicated equations. Scientists like to simplify things as much as possible, so they break down what happens during the decay into steps. It’s like following a recipe to make cookies. You can’t just throw all the ingredients in and hope for the best; you have to mix them in the right order for delicious results.

Why Do We Care About Corrections?

In the world of particle physics, nothing is perfect. When scientists measure something-like how often the Higgs boson decays into bottom quarks-the numbers can sometimes be off. That’s why they have to consider corrections. These are adjustments made to account for factors that might affect the results, like other interactions that happen at the same time.

In this case, they also look at the contributions from the interactions of other particles, like the top quark, which can also affect the decay process. It’s like double-checking your math homework to make sure you didn’t forget to include an important term.

The Role of Different Corrections

Corrections can come in different flavors, like QCD and Electroweak corrections. QCD stands for Quantum Chromodynamics, which is a super fancy term for the science of how quarks and gluons (another type of particle) interact. Electroweak is a combination of electromagnetic and weak forces, another layer of particle interaction.

You can think of these corrections as the extra seasoning that makes your dish taste just right!

The Importance of Precision

After discovering the Higgs boson, you might think, “Great! We found it! What’s next?” Well, the next big step is making sure we understand it as thoroughly as possible. Scientists want to measure the couplings of the Higgs boson very precisely. For the bottom quark, this measurement can help scientists understand the fundamental nature of mass itself. The more accurately we know about these couplings, the better our understanding of the universe.

Future Experiments

Looking ahead, scientists are planning experiments that will allow them to measure these decay processes with even greater precision. For example, the upcoming High-Luminosity Large Hadron Collider (HL-LHC) is designed to explore the properties of the Higgs boson further. It’s like upgrading from a regular kitchen to a professional-grade kitchen for a chef who wants to create the best gourmet meals.

The Big Picture

In conclusion, the decay of the Higgs boson into bottom quarks is an essential aspect of understanding particle physics. The work done on calculating and measuring this decay helps shed light on some of the most profound questions of our universe, from understanding mass to exploring the fundamental forces at play.

When you think of the Higgs boson, imagine a tiny superhero helping to shape the world of particles, all the while creating a path for scientists to follow into the future. The journey to uncovering these mysteries continues, with each new experiment bringing us closer to the ultimate understanding of the universe we inhabit.

A Fun Note to Remember

The next time you hear about the Higgs boson, picture it as the life of the party in the particle world, making connections and helping out friends along the way. And remember, in science, as in life, sometimes the most complicated things can be explained with a simple story.

Original Source

Title: Analytic decay width of the Higgs boson to massive bottom quarks at order $\alpha_s^3$

Abstract: The Higgs boson decay into bottom quarks is the dominant decay channel contributing to its total decay width, which can be used to measure the bottom quark Yukawa coupling and mass. This decay width has been computed up to $\mathcal{O}(\alpha_s^4)$ for the process induced by the bottom quark Yukawa coupling, assuming massless final states, and the corresponding corrections beyond $\mathcal{O}(\alpha_s^2)$ are found to be less than $0.2\%$. We present an analytical result for the decay into massive bottom quarks at $\mathcal{O}(\alpha_s^3)$ that includes the contribution from the top quark Yukawa coupling induced process. We have made use of the optical theorem, canonical differential equations and the regular basis in the calculation and expressed the result in terms of multiple polylogarithms and elliptic functions. We propose a systematic and unified procedure to derive the $\epsilon$-factorized differential equation for the three-loop kite integral family, which includes the three-loop banana integrals as a sub-sector. We find that the $\mathcal{O}(\alpha_s^3)$ corrections increase the decay width, relative to the result up to $\mathcal{O}(\alpha_s^2)$, by $1\%$ due to the large logarithms $\log^i (m_H^2/m_b^2)$ with $ 1\le i \le 4 $ in the small bottom quark mass limit. The coefficient of the double logarithms is proportional to $C_A-C_F$, which is the typical color structure in the resummation of soft quark contributions at subleading power.

Authors: Jian Wang, Xing Wang, Yefan Wang

Last Update: 2024-11-11 00:00:00

Language: English

Source URL: https://arxiv.org/abs/2411.07493

Source PDF: https://arxiv.org/pdf/2411.07493

Licence: https://creativecommons.org/licenses/by-nc-sa/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.

Thank you to arxiv for use of its open access interoperability.

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