Okay, perfect. Thank you.
So thanks a lot for the invitation and the opportunity to talk at this conference.
I'm presenting here results for and web transformation for j SPG. With a bita on
the on the on the hottest jet video the hottest jet just based on this work with
with your money and and so, I have just a short introduction as the heat transfer
momentum is an observer which is particularly interesting both from a
theoretical and experimental point of view, it is relatively easy to measure and
it is sensitive to you can be sensitive to new physics effects such as logical
couplings or effects coming for anomalous treena couplings and what is done
typically to increase the The sensitivity and to to be able to study in great detail
the properties of the of the Higgs boson is to divide the experimental analysis
into into different generations according to the number of objects recorded for each
event as we see for instance in this Atlas is Atlas plot. And this requires a
description of the of the transit momentum of the optics in the double differential
distribution as we are also differentiation over the direction of the
object. So, what is typically done in the in the analysis is to compare the
theoretical prediction to compare the experimental results with theoretical
prediction with any low class Bhattacharya accuracy. Although in this industry we'll
discuss Hicks. This recent comments I want to stress can be also be applied to either
an analysis such as VH muscle mass production, the limit of Ela plus
publisher accuracy is that as we recap briefly in this talk, there, there are
situations where there are a lot large lots appearing in these distributions.
And, and one my question whether the bottom shower level is is is enough to to
achieve a good description of this of the champions and this talk will focus on the
on the zero jet team. So, with the beanie, which the deputy of the hardest jet is is
lower than a certain threshold in his analysis, it is set to 30 gV for instance.
And typically, such such features are enforced either to announce the heat
signal or a specific channel or just as in the context of of the cross sections. So,
as as I said this in this, in this sprint there are large log rings appearing that
despite the convergence of the of the fixer of the prediction there are three
lines Have lots that does appear specifically in this in this region the
there are logs of the of the trust momentum. So, when the ratio of the of the
beauty of the sheets and the rest of these is large, the article section is the
result is not reliable anymore goes to minus infinity at any low and there are
large gap libraries as the Ito which is about 30 gV is reasonably smaller than
than the mass of the of the Higgs and around the shoulder, when the beauty of
the Higgs and the beauty of the jet are are commensurate, there are additional
locks that causes this these instabilities. So one has to resort to a
lot of reservation to tourism the dis dislodge tropics. And as an example, we
focus on the on the on the transit momentum, which is particularly delicate
quantity as as it is a vectorial variable. So, there are two different mechanisms
that lead to a to a to a system which the heat can have as well. So, there might be
several radiations with the commensurate smoke at such that the heat that is
recalling against them as also as more PT. But there are also other configuration in
which there are different jets being emitted different parts being emitted with
reasonably large KT and the which which balance and cancel each other such that
the heat transfer meant to me is more even when you're far away from the pseudo limit
when all the ancient documents right as it turns out, that is what PT does is the
second mechanism that that that dominates and that leads to a power suppression
rather than an exponential suppression.
So, the I will There are of course, the This is well well known and the summation
of the objective of the BTS been has been known since the 70s. However, here will
focus on on a slightly different approach in which the trans woman who is recently
in direct space without moving as as typically done 200 space so, so factorizes
and we discuss this very briefly and this the radish approach that we developed in
this, these two papers in which it's next to leading longer. So, whenever something
the second tower of of logs, one can write the cumulative cross section for the for
the for the for the for the hits PT as this is convolution between us on a simple
observable which one can analytically and creates this, this exponentiations
trivially and a more complicated transfer function, which one has to evaluate
numerically but the advantage is that it Just competed find it and can be evaluated
with with Monte Carlo methods. This way when can resume at high accuracy the
deputy of the of the without the needs to go to 200 space, what are the advantages
for foot foot foot for doing such a thing, one example is that the performance is
very fact flexible and in general. So, here I compare the two standard
reservation for the for the PT of the leading actor on the left and of the PT of
the heat's on the underwriter and one can see that the standard formula are very
different from from from from each other on the left one can submit in indirect
space. Whereas, for the for the PT two standard summation is done in, in in
conjugate conjugate space and wants to go to 3d space to to be able to exponentiated
the logs in The formula in indirect spaces in studies is perhaps less less elegant,
but is more powerful in the sense that the same formula can capture the two
resonation in in a unique formula. So, here I slightly reverse the formula
disappear in the in the in the previous slide. But we recognize again the symbolic
symbol here like is that exponent shaped and the meter just to be evaluated
numerically, and one can see the only dependence on your server is in this
function that constrains the observable to the delegation. So for the for the for the
PT jet when simply has to plug in the relevant cost ranges such as the deputy of
the head of the of the lead injector is is the maximum of all the KT of all the
missions and for the case of the hips, one is just to put the cost range that the PT
on the heat so is it simply the the tourists and the models of the tourism
only in China One can reproduce the two formulas here. So this differential
control in a dark space helps and price guidance to achieve a double differential
resolution of these two observables. So the beauty of the leading jet and the
beauty of the Higgs so let's briefly recap how we we did it starting from a sketch at
next reading log. In this next reading log, all the different emission can be are
considered strongly ordered in in angle and Katie Katie tie clustering algorithm
will associate each emission to different jet. The differential estimation can be
obtained just simply by combining the two measurement factors. So here we see the
two formula that I that I wrote before for the PT of the hips and the pickup leading
jacked with the two different with the two different measurement functions. If I plug
the two things together, I obtain a double differential result for the summation of
the two observables see and hear and hear IE I was neglected the pattern the effect
of parka luminosity dye restating this light at high odors when asked to also
include additional effects of the condition functions and have you talk with
patients to fully promote the result at high accuracy next next reading log one
has first to promote the formula this this this formula on the previous slide to to
next to next reading log by including additional terms in the in the pseudocode.
But also included these additional two corrections does clustering and is
correlated the correction. So, the first correction is is is related to to the to
the fact that the jet algorithm can cluster two independent emission into the
same jet. This way
the other one has to take into account that does affect the time to sit next to
next reading lock. The correlative correction on the other hand, amends the
fact that inclusive levels are What are discussing the diffuse light? The correct
quantity has been included include has been integrated over inclusively was the
direct direct configuration in which the two correlated emissions are not clustered
into the same group. So, the target is is is is putting these two different emission
in two different jets. So, one has to calculate this this additional correction
next misleading lock, but from the these are irrelevant for the reservation
actually of the of the PT of the leading Jetta not for the beauty of the Hague sir,
but one has to include them at the level of the double differential resignation in
which both of several are resigned. However, the same philosophy can be
applied next next living longer by simply combining the measurement functions. So,
to promote this to the double differential level one justice to include the effect of
dimensional functions for the PT have this extent of picking up digital data I'll
quickly move to the to the result as my Time's running out. Here I show the next
next block cross section, differential mgh and cumulative in PD chapter in competing
projects are probably of the future. So we see in here that we have a big structure
at at small PDH. And the pizza larger p th and a sulak of subtraction is TJ as
expected, if we slice this distribution along this display, we see the
distribution of the PT of the Higgs at a given value of deputy judge v chain which
I'm slicing the distribution. Finally, we observe in here that along the line where
PT judge vt is equal to PT H, there is there is this, this this feature of the
surgical shoulder that appears only at fixed it or there is a singularity, fix it
or not there at some level. And in our formulation, we found lots of The shoulder
in the limit in which both of circles are more. So, in this corner of the after
after display. So, the here I just show the result for the improvement of the
reservation with respect to the to the exit order, he's a fixture of distribution
with the divergences as mobility. And if we look on top the reservation This is
what we get at the next reading log in order and next next reading log class next
week and we see that we have a little bit of convergence to the left of the shoulder
with uncertainty reduce at a 10% level and we have a much reduced sensitivity to to
show that respect to the to the next reading or the spectrum and the good
convergence even as relative largish value of the PGH over the K factor is is is
large. Above the shoulder there are multiple configuration that plays a
substantial role and here are not expected a pattern shower might do might do better
score. And although I discussed the ollie the Hicks case, let me just briefly say
that the same summation can be extended to more complex panels data. Here we did it
for the case of W plus W minus production, in which we compare the same distribution.
So, the PT of the WW with a veto on the PT have the hardest chapter with the next two
leading for the next next reading log with the result from NLP s. And we see indeed
as more PT we do with the better we have reduced uncertainty. And we have
differences at the order of 10 of the 10% is achieved with this new interface
between Raj and the fixer of the code matrix, which can be used for generic two
to one to two processes. So, to summarize, I've shown the first gen transformation
for our double differential kinematics variables which in turn collision and
distortions have been extended to More complex finance data for two to one to
policymakers that will be available with this kind of magical stretching interface.
And this will definitely help to to obtain precise political prediction to to compare
with the with the with the always more precise data at smaller collected
from Atlas and CMS Elysee thanks
thanks a lot Luca for a nice presentation also for sticking to look at the time. So,
we do have time for one max two questions. So if people wants to raise hands
maybe I could ask a question. This Yes. And so you, you showed a double
differential observable I wonder from the formalism is it straightforward to extend
this to triple differential or multi different
not not Well, I mean one first step to understand exactly which which kind of
loves you you like to refer in the sense that in in here we are. So, hearing I mean
double differential designs that we are assigning to different classes of locks,
but in here we are new a free differential on the on the board and variables. So,
this this result here is there is within a certain amount of cuts. If, if your
question was related to that, so, when you can apply arbitrary caps on board level
variables, so, it's already if you want to differentiate in that sense, we it is not
immediate any way to resolve like a third observable. This is what I was asking that
yes, this is probably not not that straightforward.
Okay. Okay. In principle, it could be Yes, but I want us to think about it. Yes.
There is one question from Giovanni.
I was wondering when you mentioned the future extension. So, with come for also
to to to color singlets. So, also, demotions, but also Higgs plus
to W Higgs, or is that Higgs and
so in. So with this interface that I think will be public and to know in the coming
week or so, all the processes that are included in the matrix that will be
available. So also VA Sure, I think Americans VHS, WW, gamma, gamma, gamma.
And so all of these will be available with disabilities interface
or policy, two to one and two to two that are included into Yes.
Okay, thanks a lot. If I think we can move to the now experimental side of the
session