1 00:00:01,500 --> 00:00:03,780 And to stop. 2 00:00:05,040 --> 00:00:05,760 Okay, so 3 00:00:05,820 --> 00:00:09,450 first of all, I would like to thank the organizers for giving me the opportunity 4 00:00:09,450 --> 00:00:18,180 to present today such a topic which is I think it's it's lively and active nowadays 5 00:00:18,180 --> 00:00:24,690 in our community something that is getting a lot of interest, especially in theory 6 00:00:24,690 --> 00:00:32,100 community for as much as regards new new theoretical prediction calculations. So 7 00:00:32,100 --> 00:00:35,970 first of all, also, I think I share the same feeling as many other participants of 8 00:00:35,970 --> 00:00:40,980 the conference of said not to be embarrassed, would have been much nicer to 9 00:00:40,980 --> 00:00:46,860 interact in person, but I think we can cope very well with this. So and I. So you 10 00:00:46,860 --> 00:00:52,590 see now then my slide is at the top right corner, me for my personal Zoom Room. So 11 00:00:52,590 --> 00:00:56,340 if there's any further questions that come up after the talk, we don't have time for 12 00:00:56,340 --> 00:01:00,270 these we can go over and Brian and I'm happy to to discuss with with those We're 13 00:01:00,270 --> 00:01:07,470 interested. So further, I'll try to give you a very brief snapshot of why it makes 14 00:01:07,470 --> 00:01:11,040 that actually an excuse it actually corrections are relevant for today's 15 00:01:11,040 --> 00:01:16,080 standards for today, precision visa for doing a year to see if you want a more 16 00:01:16,380 --> 00:01:21,630 broader view and then explanation of these, you can see the sandwiching stop 17 00:01:21,630 --> 00:01:27,270 from from yesterday. So we'll also try to describe what the main complexities are 18 00:01:27,420 --> 00:01:33,810 and why we, we don't have full complete picture yet but we are getting there. And 19 00:01:33,810 --> 00:01:38,160 we are we're in the very fast progress. But one thing that we do have and we can 20 00:01:38,190 --> 00:01:42,930 use to do actual physics now our corrections at the resonance region, these 21 00:01:43,350 --> 00:01:48,120 many of the complexities, we're using that in that case and we can actually do a 22 00:01:48,120 --> 00:01:54,180 real, real actually phenomenology. And I will show recent progress for the 23 00:01:54,180 --> 00:01:57,240 competition of uncritical session and differential distribution the case of 24 00:01:57,300 --> 00:02:02,220 auctions yet and then I will draw a conclusion and I will give an outlook of 25 00:02:02,220 --> 00:02:10,440 what I think are two main routes Who should we should push. So, the mix is 26 00:02:10,440 --> 00:02:14,700 actually correction to well young are complicated I mean I cannot have to be 27 00:02:14,700 --> 00:02:18,540 honest I cannot deny this they are complicated for several from several 28 00:02:18,540 --> 00:02:22,110 points of views. He's actually one of these cases where you have complications 29 00:02:22,110 --> 00:02:25,740 both in devaluation of the actual amplitude of interest and in the 30 00:02:25,740 --> 00:02:29,820 subtraction sometimes, you can get you can get away with not too complicated 31 00:02:29,850 --> 00:02:32,520 interest, but the suppression is complicated or the other way around, well, 32 00:02:32,520 --> 00:02:37,290 here you have complexities at the same time. So, as far as the interests are 33 00:02:37,290 --> 00:02:44,370 concerned, you have to consider for example, show here to loot boxes, where 34 00:02:44,370 --> 00:02:48,930 you have several energy scales involved like the W and the Zed mass in the case of 35 00:02:50,370 --> 00:02:55,650 electron neutrino production. And, and in these interests are actually at the almost 36 00:02:55,650 --> 00:02:59,790 at the edge of today's today's state of the art for this kind of competition. 37 00:02:59,790 --> 00:03:04,500 There are There have been actually a lot of effort in results have come out over 38 00:03:04,500 --> 00:03:08,850 the last few years. And I have to say, though, that the numbers are not available 39 00:03:08,850 --> 00:03:14,250 yet. So the interests aren't getting there we have done a nice form. And now wait for 40 00:03:14,250 --> 00:03:19,110 the operators as well they subtraction you have an interplay not even need to play 41 00:03:19,110 --> 00:03:24,630 between the Q CD and the QED sector of for the infrared singularities. And for 42 00:03:24,630 --> 00:03:28,740 example, you can see in this diagram here and on the right, for example, one one 43 00:03:28,740 --> 00:03:33,300 case where you have normal stress on w So, an unstable particle which radiates a 44 00:03:33,300 --> 00:03:38,940 particle this conspires with, for example, sort of the initial state. Now, there's 45 00:03:38,940 --> 00:03:45,090 been also progress from the point of view of this attraction methods. One paper that 46 00:03:45,090 --> 00:03:50,130 would like to say, a very recent one, which came out roughly two weeks ago, is a 47 00:03:50,130 --> 00:03:54,390 combination of fully off shell and next missing what next mixing board accusing 48 00:03:54,390 --> 00:03:58,620 the 3d corrections for offshore there became two neutrinos there are several 49 00:03:58,620 --> 00:04:03,180 simplification is possible. This is a completing on its own. And it's it's a 50 00:04:03,180 --> 00:04:09,360 work consistent calculation. Now, the one way to estimate the impact of next 51 00:04:09,630 --> 00:04:16,530 corrections was already a few years ago already now, seven years ago, and by the 52 00:04:16,560 --> 00:04:22,050 power generous collaborations were, they try to see it to estimate the impact of 53 00:04:22,050 --> 00:04:25,620 these correction by means of pattern shower. So in this plot here, I'm showing 54 00:04:27,030 --> 00:04:32,280 as an example on the left on PT in New York current Julian. Now one thing that I 55 00:04:32,280 --> 00:04:35,910 would like to stress is that these these tools are available, they've been 56 00:04:35,910 --> 00:04:40,890 available and also considering Sara analysis. So for the book was now you can 57 00:04:40,890 --> 00:04:47,130 just focus on the ratio plot in the bottom second panel. And so in red, I'm showing 58 00:04:47,160 --> 00:04:49,950 so so I'm not doing anything actually in the in the plot. 59 00:04:51,510 --> 00:04:55,440 The red curve is the pure and electroweak effects. So these are fixed order 60 00:04:55,440 --> 00:05:01,020 calculation. And in any ingredient the ratio plot is a combination of Next, we'll 61 00:05:01,020 --> 00:05:08,310 invoke the QC D plus QC department shower and an electric plus Qd a shower. And so, 62 00:05:08,310 --> 00:05:12,660 the green line is the relative difference with respect to analog QC The Punisher. 63 00:05:12,960 --> 00:05:16,710 So, the difference between these two curves in the bottom. So, here for 64 00:05:16,710 --> 00:05:22,530 example, in the equation, these describe the impact of the leading for example, in 65 00:05:22,530 --> 00:05:27,540 logarithmic leading logs that you get from QC and QED radiations and they give an 66 00:05:27,540 --> 00:05:30,450 estimate of the impact of this correction as you can see, there are at the level of 67 00:05:30,450 --> 00:05:35,190 zero percent. Now similar studies been done in the case of double production, 68 00:05:35,610 --> 00:05:40,650 where it's been observed that these missing hydro excuse electric corrections 69 00:05:40,650 --> 00:05:45,060 Kevin impact can have an impact on on the W mass extraction in order of 16 energy, 70 00:05:45,090 --> 00:05:51,780 which is the love of the target acuity is now ending it. So, actually, these 71 00:05:51,810 --> 00:05:58,710 complications in the fully offset case can be remarkably reduced if you look into the 72 00:05:58,710 --> 00:06:02,160 resonance region. He's going to talk about the fact that if you look at the 73 00:06:02,160 --> 00:06:06,390 resonance, you can factorize production ek and the error that you're making is a 74 00:06:06,390 --> 00:06:11,790 Warder gamma over m gamma being the width of your vector boson that goes on shell. 75 00:06:12,870 --> 00:06:18,150 And actually has been exploited in first a collision in that was done five years ago 76 00:06:19,980 --> 00:06:25,830 by this gentleman here, where they use the simple pole approximation to basically 77 00:06:25,830 --> 00:06:29,460 calculate the mixed use electric corrections in the restaurant region. So 78 00:06:29,460 --> 00:06:34,560 the main outcomes of this of these works is that you can basically neglect the non 79 00:06:34,560 --> 00:06:39,120 vectorizable condition that come when you have an interaction between initial and 80 00:06:39,120 --> 00:06:43,920 final state, there's no exchange of a soft folder. So you just need to focus on the 81 00:06:44,310 --> 00:06:49,980 factorable initial final state contributions. So there in this paper goes 82 00:06:49,980 --> 00:06:55,380 to make a comparison against a prediction where the QED radiation is simulated with 83 00:06:55,380 --> 00:06:59,850 a paddle shower only three with a structure function approach, and the two 84 00:07:00,000 --> 00:07:07,470 So the factorized approach that they use and the submission of acuity logs actually 85 00:07:07,470 --> 00:07:11,580 show it were very, very good agreement. And one of the outcomes of deliveries 86 00:07:11,640 --> 00:07:16,380 again here that you have a 14 me v shift eventually in the in the construction of 87 00:07:16,380 --> 00:07:20,430 the documents, so these corrections need to be taken into account also the 88 00:07:20,430 --> 00:07:26,160 reservation. Now inevitably, they don't consider actually the next corrections in 89 00:07:26,160 --> 00:07:30,750 the initial state. And so this is where the most of the progress has been done in 90 00:07:30,750 --> 00:07:35,490 the in the in the past in the past weeks, was what we were moving at. So first 91 00:07:35,490 --> 00:07:40,110 results came out for the competition of the musical section in the next next week 92 00:07:40,110 --> 00:07:46,950 in order QC cams QED production. And then in December last year, we have few first 93 00:07:46,950 --> 00:07:50,880 results for the mixed use area and actually corrections for the inclusive 94 00:07:50,880 --> 00:07:57,120 cross section of Zed both on production and this has been unfolding analytics or 95 00:07:58,530 --> 00:08:02,370 older, older elder various Ingredients the calculation is being performed and being 96 00:08:02,370 --> 00:08:05,910 calculated analytically. And these will serve as an important measure for 97 00:08:06,240 --> 00:08:10,830 MonteCarlo calculations and formulas for result that will be obtained numerically. 98 00:08:11,670 --> 00:08:15,150 There are several ingredients and entering this regulation for the moment, I would 99 00:08:15,150 --> 00:08:19,290 like to just to focus your attention on the, for example, in the plot here on the 100 00:08:19,290 --> 00:08:23,790 bottom left, these mean don't get too attached to this plot is just a platonic 101 00:08:23,790 --> 00:08:29,820 resection a plot where the aim of this plot is to show that actually the, the 102 00:08:29,850 --> 00:08:36,480 pure weak contributions are already relevant and at the bottom level, and the 103 00:08:36,480 --> 00:08:41,340 bottom level. So, to get a fully frequency fully consistent estimate of these 104 00:08:41,340 --> 00:08:44,910 corrections, we should wait for the inclusive cross section then because 105 00:08:44,910 --> 00:08:49,050 you've had one cross section, which I promise you it's going to come out soon so 106 00:08:49,230 --> 00:08:54,660 stay tuned on this on this point. Now, we can also actually show some differential 107 00:08:54,660 --> 00:08:59,970 results. He has been made public just last week, these are very fresh result these 108 00:09:00,000 --> 00:09:05,580 The full service is a complete collection of mixed media mixed usage electric 109 00:09:05,580 --> 00:09:13,350 corrections for onset production. So, here at least in some of the ingredients of the 110 00:09:13,350 --> 00:09:17,040 of the of the calculation, but the only thing i want i would like to focus your 111 00:09:17,040 --> 00:09:22,140 attention is that these calculation is fully differential okay. And if you look 112 00:09:22,140 --> 00:09:27,120 at this formula here we So, basically you can see all the terms in the expansions. 113 00:09:27,870 --> 00:09:32,280 Just remember these labeling iMj here because they will recur often in the next 114 00:09:32,280 --> 00:09:36,870 slide. So with for example, here to zero we mean the next machining work is E and 115 00:09:36,870 --> 00:09:43,080 one one here, the mixed accuracy actually corrections. So, let me move to some 116 00:09:43,080 --> 00:09:52,650 results now. And so we further split the electroweak corrections, both in next 117 00:09:52,650 --> 00:09:59,490 week, next week and next and actually more mixed data week into purely QED part and 118 00:10:00,000 --> 00:10:02,940 The weak part where you get all the contribution from the weak victim bosoms 119 00:10:02,940 --> 00:10:09,720 to assess the impact of these two kind of corrections. Now we'll consider ratios 120 00:10:09,930 --> 00:10:16,020 here the warning the red boxes here where we decrease use of the correction of the 121 00:10:16,020 --> 00:10:21,630 given protective order. Yeah, thanks, I seen the message next against the next 122 00:10:21,630 --> 00:10:26,760 boiling water QC team. And we do this by being in in differential distributions and 123 00:10:26,760 --> 00:10:33,390 here in this table I show results for the for the for the integrated cross section, 124 00:10:33,720 --> 00:10:39,480 and in so forth included cross section and for fiducial volume that we define in the 125 00:10:39,480 --> 00:10:45,480 in the left here. Okay, so these are the selected standard selection cuts that are 126 00:10:45,510 --> 00:10:49,350 very close to the center section cuts. These are the one we consider and yet we 127 00:10:49,350 --> 00:10:54,720 block so we use these numbers okay. So one thing that would like to stress is that 128 00:10:55,290 --> 00:10:58,980 this calculation has been performed. So these numbers here are being performed 129 00:10:58,980 --> 00:11:04,920 with function minimization scale equal to the mass of the set divided by two. Now, 130 00:11:04,920 --> 00:11:08,370 let me guide you through these numbers. So, first of all, I would like to point 131 00:11:08,370 --> 00:11:10,740 your attention the fact that the next thing more or less we corrections is very 132 00:11:10,740 --> 00:11:14,220 small. And this is due to the fact that we work in a genius scheme, which are tops 133 00:11:14,220 --> 00:11:17,730 most of the domain contribution already in the redefinition of the parameters leading 134 00:11:17,730 --> 00:11:23,160 order. In other points stress is that the QED corrections are strongly sensitive to 135 00:11:23,160 --> 00:11:26,340 selection counts, they actually as you can see, they increased by an order of 136 00:11:26,340 --> 00:11:30,930 magnitude and they change sign when you go from an inclusive to the fiducial for you. 137 00:11:31,800 --> 00:11:35,340 Another thing to actually point out is that the next few next molecules are 138 00:11:35,340 --> 00:11:39,840 unnaturally I would say accidentally small these has been observed already, for 139 00:11:39,840 --> 00:11:44,250 example, in the computer shop in Cuba law calculation as the completion of maximum 140 00:11:44,490 --> 00:11:50,250 Thank you below. correction to the alien. And eventually the QC dilatory corrections 141 00:11:51,030 --> 00:11:55,950 are eventually I mean, they exceed the next next thing, what actually and they 142 00:11:55,950 --> 00:11:58,950 compete, so they need to be taken into account. 143 00:12:01,380 --> 00:12:04,800 And another point I would like to make is that if you only focus on the production 144 00:12:04,830 --> 00:12:10,860 stage of this process where it doesn't get that sensitive to a selection cuts on the 145 00:12:10,860 --> 00:12:15,510 electrons or then you have a clear picture of the of your perturbative expansion, 146 00:12:15,780 --> 00:12:20,370 then you see that the QED corrections are under control and then the weak ones 147 00:12:20,610 --> 00:12:25,080 dominate. Now, these effects are translated into differential distributions 148 00:12:25,080 --> 00:12:30,750 here, we show distribution that basically refer to the to the vector boson to the 149 00:12:30,750 --> 00:12:35,520 Zed vector boson in the on the left you see the repeat distribution of the left on 150 00:12:35,520 --> 00:12:40,020 pair of deltas that goes on and on the right sorry, on the sorry on the first 151 00:12:40,020 --> 00:12:46,560 roll, you see the the repeat distribution in the second row the beauty of this Okay, 152 00:12:46,890 --> 00:12:51,720 and on the left column, basically these are these the fourth correction and on the 153 00:12:51,720 --> 00:12:59,100 right, just the correction to the production state stage. Okay. So um, so 154 00:12:59,670 --> 00:13:03,090 when One comment is there also a full time youtuber focus on the red as the next 155 00:13:03,090 --> 00:13:07,140 mastering work is D and the Orange is the next for next week or two weeks QC 156 00:13:07,200 --> 00:13:12,900 accuracy the electroweak contributions and see that actually. So, in certain regional 157 00:13:12,900 --> 00:13:18,840 face base, the next missing next maximum work is yes, we corrections are actually 158 00:13:18,840 --> 00:13:23,010 pretty large need to be considered to be taken into account. And what we would like 159 00:13:23,010 --> 00:13:29,670 to stress here is that there is not really a clear hierarchy between the community 160 00:13:29,670 --> 00:13:34,890 and we contribution because the QED ones do depends strongly on the selection of 161 00:13:34,890 --> 00:13:42,420 life. So, they need both of them need to be considered for in order alpha alpha 162 00:13:42,840 --> 00:13:51,030 accuracy is now Here I show a distribution that refer to the single leptons. So, on 163 00:13:51,030 --> 00:13:55,710 the, on the first row, we've had distribution on they have their calling 164 00:13:55,710 --> 00:14:00,240 soprano which is one observable of which is a prediction observable For the 165 00:14:00,240 --> 00:14:06,510 measurement of the week mixing in Bowling, green and colliders and in the second row 166 00:14:07,710 --> 00:14:13,680 I showed the beauty of the harder leptons okay. So, the same pattern that you see 167 00:14:13,680 --> 00:14:19,350 here was shown before. So, when you consider the full correction to initial 168 00:14:19,350 --> 00:14:26,130 and final state the QED corrections can become large for tumbling the case of the 169 00:14:26,160 --> 00:14:32,940 t distribution is a well known fact, but if you focus on the correction or to the 170 00:14:32,970 --> 00:14:36,270 calling springle distribution according to bring over then 171 00:14:38,190 --> 00:14:40,770 also on the altar the full level as well as the full 172 00:14:42,300 --> 00:14:46,740 production indicate stage, then the QC ngd corrections actually 173 00:14:48,480 --> 00:14:51,060 compete and the QED intellectually do as well. 174 00:14:53,010 --> 00:14:57,210 So, here this one to show one last slide, which Okay, this is some premium work that 175 00:14:57,210 --> 00:15:03,480 we've been doing recently. This like fresh From from yesterday, yesterday. So, here I 176 00:15:03,480 --> 00:15:11,190 want just to compare the impact. So, if so, I want to just come back if the 177 00:15:11,220 --> 00:15:14,700 neighbor proximate NIF and Madeira approximation is be considered in the 178 00:15:14,700 --> 00:15:20,790 literature actually do reproduce the fool next next quarter accuracy eight actually 179 00:15:20,790 --> 00:15:28,050 corrections. And yeah, thanks. This is my last one. And in there as you can see 180 00:15:28,050 --> 00:15:33,420 here, for example, in the rapidity of the of the Zed balls on well actually they 181 00:15:33,420 --> 00:15:38,610 fail pretty pretty much in the in the in the in the central region and the 182 00:15:38,610 --> 00:15:41,640 correction. So if you look for example, the inclusive numbers, then you see that 183 00:15:41,640 --> 00:15:47,160 the factorized approach is when you apply for future cases, it's a factor of two 184 00:15:47,820 --> 00:15:52,980 smaller than the full contribution. So, we claim that in the restaurant region, this 185 00:15:52,980 --> 00:15:56,730 approximation doesn't work really well. And similar studies have been carried out 186 00:15:56,730 --> 00:15:59,730 in the in the paper by Nick Meyers and collaborators 187 00:16:00,900 --> 00:16:02,370 So, this brings me to my conclusion. 188 00:16:04,049 --> 00:16:08,399 So, I see I see the room we have so much time. So, let me just discuss the outlook, 189 00:16:08,399 --> 00:16:13,919 which I think so we'll try to look at the future a little bit. So, one interesting 190 00:16:13,919 --> 00:16:17,999 task is to complete the QC luxury calculation for the W at restaurants 191 00:16:17,999 --> 00:16:22,469 because as we said in the beginning, if desired accuracy is order timely, then 192 00:16:22,469 --> 00:16:26,129 mixed, consider three corrections are important that need to be taken into 193 00:16:26,129 --> 00:16:30,449 account. And of course, another way to go should be the full calculation of Mixbus 194 00:16:30,449 --> 00:16:35,429 either to be corrections away from the residence or in the fully offset case. So 195 00:16:35,429 --> 00:16:37,169 we will get there as I said, 196 00:16:38,190 --> 00:16:39,510 progress is ongoing. So 197 00:16:40,800 --> 00:16:44,220 eventually, we will also get these corrections pretty soon. Thank you for 198 00:16:44,220 --> 00:16:44,640 your time. 199 00:16:47,370 --> 00:16:50,370 Thank you very much for the cool. Are there any questions? 200 00:16:52,290 --> 00:16:54,870 Yes, there is a question for Metro villain 201 00:16:58,140 --> 00:16:58,680 sorted 202 00:17:00,299 --> 00:17:01,559 Can you speak jmeter? 203 00:17:04,680 --> 00:17:05,550 Can you hear me? 204 00:17:05,849 --> 00:17:06,389 Yes. 205 00:17:06,450 --> 00:17:13,620 Yeah. Okay. I have a question on slide 10 to the previous slide. Yes. So you said 206 00:17:13,620 --> 00:17:20,910 that, okay, you have to get a vaccination, which is a proxy for the real correction. 207 00:17:22,020 --> 00:17:27,900 So sometimes people claim that if you do, which is a multiplicative and additive 208 00:17:27,900 --> 00:17:34,440 prescription, this should give an estimate of the next corrections. Did you try to 209 00:17:34,440 --> 00:17:39,240 also just do the additive prescription to see, actually the 210 00:17:40,740 --> 00:17:43,050 correction lies between the tool. 211 00:17:44,640 --> 00:17:49,260 So I really didn't practically do it because as I said, this was really done 212 00:17:49,260 --> 00:17:54,600 from yesterday, but I mean this So the aim of this slide here just to compare. So 213 00:17:54,600 --> 00:17:59,700 because magic is basically an addition of the virus portability borders, while 214 00:17:59,700 --> 00:18:05,370 multiple Negative gives you in a way the actual mix contribution. I mean, the way I 215 00:18:05,370 --> 00:18:09,870 understand is that the additive contribution is just an addition of the 216 00:18:09,870 --> 00:18:15,690 tuba decoders. While if I want to capture the actual contribution, mixed reactions I 217 00:18:15,690 --> 00:18:20,160 need, I mean, I want to compare the product of the correction factor from 218 00:18:20,160 --> 00:18:25,050 Cassini and 3d and the full correction. So, this is what I'm thinking Scott. Yes, 219 00:18:25,050 --> 00:18:26,190 I should be looking into that. 220 00:18:26,909 --> 00:18:30,839 Except for maybe informative in some sense. 221 00:18:31,139 --> 00:18:31,769 Sure, sir. 222 00:18:33,660 --> 00:18:35,400 Okay, thank you. 223 00:18:38,190 --> 00:18:42,270 Okay, thank you. For the record. I think we will move on. My understanding is that 224 00:18:42,270 --> 00:18:46,770 you will be connected to your zoom home ladies. 225 00:18:47,129 --> 00:18:51,539 If anybody has further questions, I'm happy to answer them. Right. Exactly. 226 00:18:51,840 --> 00:18:54,720 So if you have any further questions to Federico, please join. 227 00:18:56,460 --> 00:19:03,000 So then, please stop your sharing and we will move on to No that will present to 228 00:19:03,000 --> 00:19:05,010 the last results from Atlas.