And to stop.
Okay, so
first of all, I would like to thank the organizers for giving me the opportunity
to present today such a topic which is I think it's it's lively and active nowadays
in our community something that is getting a lot of interest, especially in theory
community for as much as regards new new theoretical prediction calculations. So
first of all, also, I think I share the same feeling as many other participants of
the conference of said not to be embarrassed, would have been much nicer to
interact in person, but I think we can cope very well with this. So and I. So you
see now then my slide is at the top right corner, me for my personal Zoom Room. So
if there's any further questions that come up after the talk, we don't have time for
these we can go over and Brian and I'm happy to to discuss with with those We're
interested. So further, I'll try to give you a very brief snapshot of why it makes
that actually an excuse it actually corrections are relevant for today's
standards for today, precision visa for doing a year to see if you want a more
broader view and then explanation of these, you can see the sandwiching stop
from from yesterday. So we'll also try to describe what the main complexities are
and why we, we don't have full complete picture yet but we are getting there. And
we are we're in the very fast progress. But one thing that we do have and we can
use to do actual physics now our corrections at the resonance region, these
many of the complexities, we're using that in that case and we can actually do a
real, real actually phenomenology. And I will show recent progress for the
competition of uncritical session and differential distribution the case of
auctions yet and then I will draw a conclusion and I will give an outlook of
what I think are two main routes Who should we should push. So, the mix is
actually correction to well young are complicated I mean I cannot have to be
honest I cannot deny this they are complicated for several from several
points of views. He's actually one of these cases where you have complications
both in devaluation of the actual amplitude of interest and in the
subtraction sometimes, you can get you can get away with not too complicated
interest, but the suppression is complicated or the other way around, well,
here you have complexities at the same time. So, as far as the interests are
concerned, you have to consider for example, show here to loot boxes, where
you have several energy scales involved like the W and the Zed mass in the case of
electron neutrino production. And, and in these interests are actually at the almost
at the edge of today's today's state of the art for this kind of competition.
There are There have been actually a lot of effort in results have come out over
the last few years. And I have to say, though, that the numbers are not available
yet. So the interests aren't getting there we have done a nice form. And now wait for
the operators as well they subtraction you have an interplay not even need to play
between the Q CD and the QED sector of for the infrared singularities. And for
example, you can see in this diagram here and on the right, for example, one one
case where you have normal stress on w So, an unstable particle which radiates a
particle this conspires with, for example, sort of the initial state. Now, there's
been also progress from the point of view of this attraction methods. One paper that
would like to say, a very recent one, which came out roughly two weeks ago, is a
combination of fully off shell and next missing what next mixing board accusing
the 3d corrections for offshore there became two neutrinos there are several
simplification is possible. This is a completing on its own. And it's it's a
work consistent calculation. Now, the one way to estimate the impact of next
corrections was already a few years ago already now, seven years ago, and by the
power generous collaborations were, they try to see it to estimate the impact of
these correction by means of pattern shower. So in this plot here, I'm showing
as an example on the left on PT in New York current Julian. Now one thing that I
would like to stress is that these these tools are available, they've been
available and also considering Sara analysis. So for the book was now you can
just focus on the ratio plot in the bottom second panel. And so in red, I'm showing
so so I'm not doing anything actually in the in the plot.
The red curve is the pure and electroweak effects. So these are fixed order
calculation. And in any ingredient the ratio plot is a combination of Next, we'll
invoke the QC D plus QC department shower and an electric plus Qd a shower. And so,
the green line is the relative difference with respect to analog QC The Punisher.
So, the difference between these two curves in the bottom. So, here for
example, in the equation, these describe the impact of the leading for example, in
logarithmic leading logs that you get from QC and QED radiations and they give an
estimate of the impact of this correction as you can see, there are at the level of
zero percent. Now similar studies been done in the case of double production,
where it's been observed that these missing hydro excuse electric corrections
Kevin impact can have an impact on on the W mass extraction in order of 16 energy,
which is the love of the target acuity is now ending it. So, actually, these
complications in the fully offset case can be remarkably reduced if you look into the
resonance region. He's going to talk about the fact that if you look at the
resonance, you can factorize production ek and the error that you're making is a
Warder gamma over m gamma being the width of your vector boson that goes on shell.
And actually has been exploited in first a collision in that was done five years ago
by this gentleman here, where they use the simple pole approximation to basically
calculate the mixed use electric corrections in the restaurant region. So
the main outcomes of this of these works is that you can basically neglect the non
vectorizable condition that come when you have an interaction between initial and
final state, there's no exchange of a soft folder. So you just need to focus on the
factorable initial final state contributions. So there in this paper goes
to make a comparison against a prediction where the QED radiation is simulated with
a paddle shower only three with a structure function approach, and the two
So the factorized approach that they use and the submission of acuity logs actually
show it were very, very good agreement. And one of the outcomes of deliveries
again here that you have a 14 me v shift eventually in the in the construction of
the documents, so these corrections need to be taken into account also the
reservation. Now inevitably, they don't consider actually the next corrections in
the initial state. And so this is where the most of the progress has been done in
the in the in the past in the past weeks, was what we were moving at. So first
results came out for the competition of the musical section in the next next week
in order QC cams QED production. And then in December last year, we have few first
results for the mixed use area and actually corrections for the inclusive
cross section of Zed both on production and this has been unfolding analytics or
older, older elder various Ingredients the calculation is being performed and being
calculated analytically. And these will serve as an important measure for
MonteCarlo calculations and formulas for result that will be obtained numerically.
There are several ingredients and entering this regulation for the moment, I would
like to just to focus your attention on the, for example, in the plot here on the
bottom left, these mean don't get too attached to this plot is just a platonic
resection a plot where the aim of this plot is to show that actually the, the
pure weak contributions are already relevant and at the bottom level, and the
bottom level. So, to get a fully frequency fully consistent estimate of these
corrections, we should wait for the inclusive cross section then because
you've had one cross section, which I promise you it's going to come out soon so
stay tuned on this on this point. Now, we can also actually show some differential
results. He has been made public just last week, these are very fresh result these
The full service is a complete collection of mixed media mixed usage electric
corrections for onset production. So, here at least in some of the ingredients of the
of the of the calculation, but the only thing i want i would like to focus your
attention is that these calculation is fully differential okay. And if you look
at this formula here we So, basically you can see all the terms in the expansions.
Just remember these labeling iMj here because they will recur often in the next
slide. So with for example, here to zero we mean the next machining work is E and
one one here, the mixed accuracy actually corrections. So, let me move to some
results now. And so we further split the electroweak corrections, both in next
week, next week and next and actually more mixed data week into purely QED part and
The weak part where you get all the contribution from the weak victim bosoms
to assess the impact of these two kind of corrections. Now we'll consider ratios
here the warning the red boxes here where we decrease use of the correction of the
given protective order. Yeah, thanks, I seen the message next against the next
boiling water QC team. And we do this by being in in differential distributions and
here in this table I show results for the for the for the integrated cross section,
and in so forth included cross section and for fiducial volume that we define in the
in the left here. Okay, so these are the selected standard selection cuts that are
very close to the center section cuts. These are the one we consider and yet we
block so we use these numbers okay. So one thing that would like to stress is that
this calculation has been performed. So these numbers here are being performed
with function minimization scale equal to the mass of the set divided by two. Now,
let me guide you through these numbers. So, first of all, I would like to point
your attention the fact that the next thing more or less we corrections is very
small. And this is due to the fact that we work in a genius scheme, which are tops
most of the domain contribution already in the redefinition of the parameters leading
order. In other points stress is that the QED corrections are strongly sensitive to
selection counts, they actually as you can see, they increased by an order of
magnitude and they change sign when you go from an inclusive to the fiducial for you.
Another thing to actually point out is that the next few next molecules are
unnaturally I would say accidentally small these has been observed already, for
example, in the computer shop in Cuba law calculation as the completion of maximum
Thank you below. correction to the alien. And eventually the QC dilatory corrections
are eventually I mean, they exceed the next next thing, what actually and they
compete, so they need to be taken into account.
And another point I would like to make is that if you only focus on the production
stage of this process where it doesn't get that sensitive to a selection cuts on the
electrons or then you have a clear picture of the of your perturbative expansion,
then you see that the QED corrections are under control and then the weak ones
dominate. Now, these effects are translated into differential distributions
here, we show distribution that basically refer to the to the vector boson to the
Zed vector boson in the on the left you see the repeat distribution of the left on
pair of deltas that goes on and on the right sorry, on the sorry on the first
roll, you see the the repeat distribution in the second row the beauty of this Okay,
and on the left column, basically these are these the fourth correction and on the
right, just the correction to the production state stage. Okay. So um, so
when One comment is there also a full time youtuber focus on the red as the next
mastering work is D and the Orange is the next for next week or two weeks QC
accuracy the electroweak contributions and see that actually. So, in certain regional
face base, the next missing next maximum work is yes, we corrections are actually
pretty large need to be considered to be taken into account. And what we would like
to stress here is that there is not really a clear hierarchy between the community
and we contribution because the QED ones do depends strongly on the selection of
life. So, they need both of them need to be considered for in order alpha alpha
accuracy is now Here I show a distribution that refer to the single leptons. So, on
the, on the first row, we've had distribution on they have their calling
soprano which is one observable of which is a prediction observable For the
measurement of the week mixing in Bowling, green and colliders and in the second row
I showed the beauty of the harder leptons okay. So, the same pattern that you see
here was shown before. So, when you consider the full correction to initial
and final state the QED corrections can become large for tumbling the case of the
t distribution is a well known fact, but if you focus on the correction or to the
calling springle distribution according to bring over then
also on the altar the full level as well as the full
production indicate stage, then the QC ngd corrections actually
compete and the QED intellectually do as well.
So, here this one to show one last slide, which Okay, this is some premium work that
we've been doing recently. This like fresh From from yesterday, yesterday. So, here I
want just to compare the impact. So, if so, I want to just come back if the
neighbor proximate NIF and Madeira approximation is be considered in the
literature actually do reproduce the fool next next quarter accuracy eight actually
corrections. And yeah, thanks. This is my last one. And in there as you can see
here, for example, in the rapidity of the of the Zed balls on well actually they
fail pretty pretty much in the in the in the in the central region and the
correction. So if you look for example, the inclusive numbers, then you see that
the factorized approach is when you apply for future cases, it's a factor of two
smaller than the full contribution. So, we claim that in the restaurant region, this
approximation doesn't work really well. And similar studies have been carried out
in the in the paper by Nick Meyers and collaborators
So, this brings me to my conclusion.
So, I see I see the room we have so much time. So, let me just discuss the outlook,
which I think so we'll try to look at the future a little bit. So, one interesting
task is to complete the QC luxury calculation for the W at restaurants
because as we said in the beginning, if desired accuracy is order timely, then
mixed, consider three corrections are important that need to be taken into
account. And of course, another way to go should be the full calculation of Mixbus
either to be corrections away from the residence or in the fully offset case. So
we will get there as I said,
progress is ongoing. So
eventually, we will also get these corrections pretty soon. Thank you for
your time.
Thank you very much for the cool. Are there any questions?
Yes, there is a question for Metro villain
sorted
Can you speak jmeter?
Can you hear me?
Yes.
Yeah. Okay. I have a question on slide 10 to the previous slide. Yes. So you said
that, okay, you have to get a vaccination, which is a proxy for the real correction.
So sometimes people claim that if you do, which is a multiplicative and additive
prescription, this should give an estimate of the next corrections. Did you try to
also just do the additive prescription to see, actually the
correction lies between the tool.
So I really didn't practically do it because as I said, this was really done
from yesterday, but I mean this So the aim of this slide here just to compare. So
because magic is basically an addition of the virus portability borders, while
multiple Negative gives you in a way the actual mix contribution. I mean, the way I
understand is that the additive contribution is just an addition of the
tuba decoders. While if I want to capture the actual contribution, mixed reactions I
need, I mean, I want to compare the product of the correction factor from
Cassini and 3d and the full correction. So, this is what I'm thinking Scott. Yes,
I should be looking into that.
Except for maybe informative in some sense.
Sure, sir.
Okay, thank you.
Okay, thank you. For the record. I think we will move on. My understanding is that
you will be connected to your zoom home ladies.
If anybody has further questions, I'm happy to answer them. Right. Exactly.
So if you have any further questions to Federico, please join.
So then, please stop your sharing and we will move on to No that will present to
the last results from Atlas.