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Okay, perfect. Thank you.

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So thanks a lot for the invitation and the
opportunity to talk at this conference.

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I'm presenting here results for and web
transformation for j SPG. With a bita on

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the on the on the hottest jet video the
hottest jet just based on this work with

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with your money and and so, I have just a
short introduction as the heat transfer

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momentum is an observer which is
particularly interesting both from a

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theoretical and experimental point of
view, it is relatively easy to measure and

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it is sensitive to you can be sensitive to
new physics effects such as logical

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couplings or effects coming for anomalous
treena couplings and what is done

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typically to increase the The sensitivity
and to to be able to study in great detail

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the properties of the of the Higgs boson
is to divide the experimental analysis

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into into different generations according
to the number of objects recorded for each

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event as we see for instance in this Atlas
is Atlas plot. And this requires a

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description of the of the transit momentum
of the optics in the double differential

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distribution as we are also
differentiation over the direction of the

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object. So, what is typically done in the
in the analysis is to compare the

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theoretical prediction to compare the
experimental results with theoretical

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prediction with any low class Bhattacharya
accuracy. Although in this industry we'll

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discuss Hicks. This recent comments I want
to stress can be also be applied to either

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an analysis such as VH muscle mass
production, the limit of Ela plus

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publisher accuracy is that as we recap
briefly in this talk, there, there are

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situations where there are a lot large
lots appearing in these distributions.

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And, and one my question whether the
bottom shower level is is is enough to to

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achieve a good description of this of the
champions and this talk will focus on the

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on the zero jet team. So, with the beanie,
which the deputy of the hardest jet is is

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lower than a certain threshold in his
analysis, it is set to 30 gV for instance.

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And typically, such such features are
enforced either to announce the heat

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signal or a specific channel or just as in
the context of of the cross sections. So,

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as as I said this in this, in this sprint
there are large log rings appearing that

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despite the convergence of the of the
fixer of the prediction there are three

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lines Have lots that does appear
specifically in this in this region the

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there are logs of the of the trust
momentum. So, when the ratio of the of the

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beauty of the sheets and the rest of these
is large, the article section is the

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result is not reliable anymore goes to
minus infinity at any low and there are

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large gap libraries as the Ito which is
about 30 gV is reasonably smaller than

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than the mass of the of the Higgs and
around the shoulder, when the beauty of

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the Higgs and the beauty of the jet are
are commensurate, there are additional

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locks that causes this these
instabilities. So one has to resort to a

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lot of reservation to tourism the dis
dislodge tropics. And as an example, we

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focus on the on the on the transit
momentum, which is particularly delicate

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quantity as as it is a vectorial variable.
So, there are two different mechanisms

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that lead to a to a to a system which the
heat can have as well. So, there might be

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several radiations with the commensurate
smoke at such that the heat that is

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recalling against them as also as more PT.
But there are also other configuration in

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which there are different jets being
emitted different parts being emitted with

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reasonably large KT and the which which
balance and cancel each other such that

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the heat transfer meant to me is more even
when you're far away from the pseudo limit

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when all the ancient documents right as it
turns out, that is what PT does is the

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second mechanism that that that dominates
and that leads to a power suppression

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rather than an exponential suppression.

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So, the I will There are of course, the
This is well well known and the summation

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of the objective of the BTS been has been
known since the 70s. However, here will

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focus on on a slightly different approach
in which the trans woman who is recently

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in direct space without moving as as
typically done 200 space so, so factorizes

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and we discuss this very briefly and this
the radish approach that we developed in

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this, these two papers in which it's next
to leading longer. So, whenever something

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the second tower of of logs, one can write
the cumulative cross section for the for

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the for the for the for the hits PT as
this is convolution between us on a simple

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observable which one can analytically and
creates this, this exponentiations

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trivially and a more complicated transfer
function, which one has to evaluate

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numerically but the advantage is that it
Just competed find it and can be evaluated

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with with Monte Carlo methods. This way
when can resume at high accuracy the

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deputy of the of the without the needs to
go to 200 space, what are the advantages

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for foot foot foot for doing such a thing,
one example is that the performance is

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very fact flexible and in general. So,
here I compare the two standard

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reservation for the for the PT of the
leading actor on the left and of the PT of

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the heat's on the underwriter and one can
see that the standard formula are very

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different from from from from each other
on the left one can submit in indirect

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space. Whereas, for the for the PT two
standard summation is done in, in in

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conjugate conjugate space and wants to go
to 3d space to to be able to exponentiated

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the logs in The formula in indirect spaces
in studies is perhaps less less elegant,

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but is more powerful in the sense that the
same formula can capture the two

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resonation in in a unique formula. So,
here I slightly reverse the formula

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disappear in the in the in the previous
slide. But we recognize again the symbolic

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symbol here like is that exponent shaped
and the meter just to be evaluated

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numerically, and one can see the only
dependence on your server is in this

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function that constrains the observable to
the delegation. So for the for the for the

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PT jet when simply has to plug in the
relevant cost ranges such as the deputy of

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the head of the of the lead injector is is
the maximum of all the KT of all the

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missions and for the case of the hips, one
is just to put the cost range that the PT

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on the heat so is it simply the the
tourists and the models of the tourism

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only in China One can reproduce the two
formulas here. So this differential

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control in a dark space helps and price
guidance to achieve a double differential

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resolution of these two observables. So
the beauty of the leading jet and the

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beauty of the Higgs so let's briefly recap
how we we did it starting from a sketch at

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next reading log. In this next reading
log, all the different emission can be are

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considered strongly ordered in in angle
and Katie Katie tie clustering algorithm

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will associate each emission to different
jet. The differential estimation can be

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obtained just simply by combining the two
measurement factors. So here we see the

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two formula that I that I wrote before for
the PT of the hips and the pickup leading

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jacked with the two different with the two
different measurement functions. If I plug

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the two things together, I obtain a double
differential result for the summation of

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the two observables see and hear and hear
IE I was neglected the pattern the effect

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of parka luminosity dye restating this
light at high odors when asked to also

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include additional effects of the
condition functions and have you talk with

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patients to fully promote the result at
high accuracy next next reading log one

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has first to promote the formula this this
this formula on the previous slide to to

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next to next reading log by including
additional terms in the in the pseudocode.

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But also included these additional two
corrections does clustering and is

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correlated the correction. So, the first
correction is is is related to to the to

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the fact that the jet algorithm can
cluster two independent emission into the

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same jet. This way

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the other one has to take into account
that does affect the time to sit next to

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next reading lock. The correlative
correction on the other hand, amends the

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fact that inclusive levels are What are
discussing the diffuse light? The correct

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quantity has been included include has
been integrated over inclusively was the

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direct direct configuration in which the
two correlated emissions are not clustered

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into the same group. So, the target is is
is is putting these two different emission

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in two different jets. So, one has to
calculate this this additional correction

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next misleading lock, but from the these
are irrelevant for the reservation

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actually of the of the PT of the leading
Jetta not for the beauty of the Hague sir,

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but one has to include them at the level
of the double differential resignation in

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which both of several are resigned.
However, the same philosophy can be

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applied next next living longer by simply
combining the measurement functions. So,

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to promote this to the double differential
level one justice to include the effect of

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dimensional functions for the PT have this
extent of picking up digital data I'll

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quickly move to the to the result as my
Time's running out. Here I show the next

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next block cross section, differential mgh
and cumulative in PD chapter in competing

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projects are probably of the future. So we
see in here that we have a big structure

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at at small PDH. And the pizza larger p th
and a sulak of subtraction is TJ as

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expected, if we slice this distribution
along this display, we see the

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distribution of the PT of the Higgs at a
given value of deputy judge v chain which

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I'm slicing the distribution. Finally, we
observe in here that along the line where

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PT judge vt is equal to PT H, there is
there is this, this this feature of the

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surgical shoulder that appears only at
fixed it or there is a singularity, fix it

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or not there at some level. And in our
formulation, we found lots of The shoulder

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in the limit in which both of circles are
more. So, in this corner of the after

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after display. So, the here I just show
the result for the improvement of the

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reservation with respect to the to the
exit order, he's a fixture of distribution

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with the divergences as mobility. And if
we look on top the reservation This is

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what we get at the next reading log in
order and next next reading log class next

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week and we see that we have a little bit
of convergence to the left of the shoulder

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with uncertainty reduce at a 10% level and
we have a much reduced sensitivity to to

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show that respect to the to the next
reading or the spectrum and the good

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convergence even as relative largish value
of the PGH over the K factor is is is

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large. Above the shoulder there are
multiple configuration that plays a

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substantial role and here are not expected
a pattern shower might do might do better

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score. And although I discussed the ollie
the Hicks case, let me just briefly say

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that the same summation can be extended to
more complex panels data. Here we did it

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for the case of W plus W minus production,
in which we compare the same distribution.

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So, the PT of the WW with a veto on the PT
have the hardest chapter with the next two

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leading for the next next reading log with
the result from NLP s. And we see indeed

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as more PT we do with the better we have
reduced uncertainty. And we have

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differences at the order of 10 of the 10%
is achieved with this new interface

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between Raj and the fixer of the code
matrix, which can be used for generic two

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to one to two processes. So, to summarize,
I've shown the first gen transformation

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for our double differential kinematics
variables which in turn collision and

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distortions have been extended to More
complex finance data for two to one to

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policymakers that will be available with
this kind of magical stretching interface.

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And this will definitely help to to obtain
precise political prediction to to compare

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with the with the with the always more
precise data at smaller collected

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from Atlas and CMS Elysee thanks

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thanks a lot Luca for a nice presentation
also for sticking to look at the time. So,

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we do have time for one max two questions.
So if people wants to raise hands

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maybe I could ask a question. This Yes.
And so you, you showed a double

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differential observable I wonder from the
formalism is it straightforward to extend

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this to triple differential or multi
different

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not not Well, I mean one first step to
understand exactly which which kind of

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loves you you like to refer in the sense
that in in here we are. So, hearing I mean

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double differential designs that we are
assigning to different classes of locks,

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but in here we are new a free differential
on the on the board and variables. So,

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this this result here is there is within a
certain amount of cuts. If, if your

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question was related to that, so, when you
can apply arbitrary caps on board level

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variables, so, it's already if you want to
differentiate in that sense, we it is not

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immediate any way to resolve like a third
observable. This is what I was asking that

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yes, this is probably not not that
straightforward.

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Okay. Okay. In principle, it could be Yes,
but I want us to think about it. Yes.

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There is one question from Giovanni.

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I was wondering when you mentioned the
future extension. So, with come for also

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to to to color singlets. So, also,
demotions, but also Higgs plus

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to W Higgs, or is that Higgs and

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so in. So with this interface that I think
will be public and to know in the coming

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week or so, all the processes that are
included in the matrix that will be

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available. So also VA Sure, I think
Americans VHS, WW, gamma, gamma, gamma.

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And so all of these will be available with
disabilities interface

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or policy, two to one and two to two that
are included into Yes.

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Okay, thanks a lot. If I think we can move
to the now experimental side of the

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session