Does the Higgs-boson exist?

Today I want to talk about what scientists mean when they say that
lecture, someone will come and tell me that black holes don't exist, or quarks
don't exist, or time doesn't exist. Last time someone asked me: Do you really
believe that gravitational waves exist? So, do I believe that gravitational waves
exist? Let me ask you in return: What do you care what I believe? What does it
matter for anything? Look, I'm a scientist. Scientists don't deal with beliefs, they
deal with data and hypotheses. Science is about knowledge and facts. It's not about
beliefs. And what I know is that Einstein's theory of general relativity
is a mathematical framework from which we can derive predictions there are in
excellent agreement with observation. We have given names to the mathematical
structures in this theory. One of them is called gravitational waves. Another one
is called black holes. These are the mathematical structures from which we
can calculate the observational consequences that have now been measured
by the LIGO and VIRGO gravitational wave interferometers. When we say that
"these experiments measured gravitational waves emitted by a black hole merger"
we really mean that specific equations led to correct predictions. It is a similar
story for the Higgs boson and for quarks. The Higgs boson and quarks are names
that we have given to mathematical structures. In this case the structures
are part of what is called the standard model of particle physics. We use this
mathematics to make predictions. The predictions agree with measurements.
That *is* what we mean when we say "quarks exist". We mean that the predictions obtained
with the hypothesis agree with observations. Same story for time. In
general relativity time is a coordinate, much like space, It is part of the
mathematical framework. We use it to make predictions. The predictions agree with
observation. And that's that.
Now you may complain that this is not what *you* mean by "existence". You may insist that you want
to know whether it is "real" or "true". Now, I do not know what it means for something
to be "real" or "true". For that you will have to consult a philosopher. And they
will offer you a variety of options that you may or may not find plausible. A lot
of scientists for example subscribe knowingly or unknowingly to a philosophy
called "realism" which means that they believe a successful theory is not
merely a tool to obtain predictions but that its elements have an additional
property that you can call true or real. I'm speaking loosely here because there
are several variants of realism. But they have in common that the elements of the
theory are more than just tools. And this is all well and fine, but realism is a
philosophy. It's a belief system, and science does not tell you whether it is
correct. So here's the thing. If you want to claim that the Higgs boson does not
exist, you have to demonstrate that the theory which contains the mathematical
structure called Higgs boson does not fit the data. Whether or not Higgs bosons
ever arrived in a detector is totally irrelevant. Here's a homework assignment: