STAR HardProbes PWG

[Sooraj Radhakrishnan <skradhakrishnan AT lbl.gov>]

Hi Rongrong,

    Thanks for the follow up

//If the centroid of the medium is offset by <x>, the average path length difference along positive and negative x is 2*<x>, right?//

---- But since we are comparing to <px>, this should cancel out, right? We are looking at the average momentum difference along +x and -x 

//In the D0 v1 paper, it is argued that the large D0 v1 slope is driven by the drag from the titled bulk. Would jets also experience such a drag? If so, that should also contribute to v1, right? Are there any other effects that would induce jet v1? //

----- D0 we measured was at low pT where collisional energy loss is dominant. So the drag from the bulk would be more important there. For the jet pT we are looking at, this should be less important. But is a quantitative question to be taken into account in a detailed model calculation, including other aspects like expansion of medium etc. Thats why we dont want to quote a dE/dL for energy loss in QGP. But I believe the measurements offer an important quantity in getting towards that

//Still, it is not clear to me how the reconstruction efficiency cancels in <px>. What is the definition of <px>?//

---- What is the efficiency effect you are referring to here? The jet reconstruction efficiency should cancel out as this is averaged over all jets in the pT bin. <px> is the the mean of pTcos(phi -Psi). 

//Regarding the smearing, I am not sure the leading pT bias would reduce the smearing since the smearing is driven by background fluctuation, not jets. //

--- This is what I am confused about a bit. If you look at the rho distributions (Fig 1.10 in the note above), the rms is about 3 - 4 GeV/(c sr). With a jet area of 0.5 for R = 0.4 jets, the background smearing should be around 2 GeV/c, isnt? But the rms of the delta pt distributions for R = 0.4 jets from background smearing (Fig. 1.16) is closer to 6 - 7 GeV/c. What causes this enhanced smearing? 

//When you perform smearing, do you take all the jets with a leading track above 4 GeV/c?//

--- We apply the smearing to all the jets 

 //Also, for the detector effects, this is a significant tail in the response, which I assume is not included in the smearing. With this exercise, is the intent to say that the v1 signal is not induced by smearing or that our v1 results can be directly compared to theoretical calculations?//

---- The impact of smearing is small from the checks we have done. We will check with the increased smearing from background fluctuations and can also directly use the delta pT distribution with the tails to see the impact. If the impact is small, the measurements, with the uncertainties, can be compared to model calculations. Its not just the smearing, but the pT dependence of the signal also what decides the impact here. With the data driven check we could evaluate this and if it is small, can have as part of uncertainties. Else can have as a correction and quote systematics on it

//In any case, I think it is important to stress that these results are not corrected for detector response and background fluctuation, and a biased jet population is used. //

--- We will quote the jet pT as jet pT^raw to state it is uncorrected jet pT. But the detector response and background fluctuations shouldn't be a major factor here, from the checks so far. Also, we see the significant signal after these smearing in the data, they are not washed out. In the final results we might have to quote a correction to account for these effects 

thanks,

Sooraj

On Wed, Sep 11, 2024 at 12:09 PM Ma, Rongrong <marr AT bnl.gov> wrote:

Hello Sooraj

Thanks for the explanation. I understand much better now. 

If the centroid of the medium is offset by <x>, the average path length difference along positive and negative x is 2*<x>, right?

In the D0 v1 paper, it is argued that the large D0 v1 slope is driven by the drag from the titled bulk. Would jets also experience such a drag? If so, that should also contribute to v1, right? Are there any other effects that would induce jet v1? 

Still, it is not clear to me how the reconstruction efficiency cancels in <px>. What is the definition of <px>?

Regarding the smearing, I am not sure the leading pT bias would reduce the smearing since the smearing is driven by background fluctuation, not jets. When you perform smearing, do you take all the jets with a leading track above 4 GeV/c? Also, for the detector effects, this is a significant tail in the response, which I assume is not included in the smearing. With this exercise, is the intent to say that the v1 signal is not induced by smearing or that our v1 results can be directly compared to theoretical calculations? 

In any case, I think it is important to stress that these results are not corrected for detector response and background fluctuation, and a biased jet population is used. 

Thanks. 

Best

Rongrong

On Sep 10, 2024, at 5:51 PM, Sooraj Radhakrishnan <skradhakrishnan AT lbl.gov> wrote:

Hi Rongrong,

   Thanks for the email and the questions. Please find my responses below 

//"Mean momentum loss = 0.232 +/- 0.068 +/- 0.03 for R = 0.2 jets with 10 < pT,jet < 12 GeV/c ... for an estimated initial part length asymmetry of 0.2 fm". 

- 0.232 is the slope of <px> vs. eta. Why is it related to energy loss? Should I think of 0.232 as the average energy loss within the eta range of the measurement (|eta| < 1-R) or at a given eta? 

- Does the initial length asymmetry of 0.2 fm correspond to the slope of <x> vs. eta or <x> at a given eta? //

--- The <px> would be zero if jets along positive and negative impact parameter direction (x) see the same amount of medium. But at finite rapidity, the centroid of the medium along the impact parameter direction is offset, leading to different path lengths for jets along +x and -x. This results in more energy loss in one direction vs the other and <px> reflects this difference in energy loss

   

We use slope to quantify the eta dependence as we see the dependence is linear. Alternatively, we could quote the measured value in the rapidity bin at |eta| = 0.6. That would then give the <px> at a given eta, which could then be related to <x> in the same bin. Taking the slope, with the observed linear dependence, gives these values at eta = 1.0. <x> of 0.2 is also the slope or value at eta = 1.0

//- If both 0.232 GeV/c and 0.2 fm are slopes, do you implicitly assume that energy loss does not depend on eta?//

----- No, this has an eta dependence as we see, largely proportional to <x> at a given eta. In the region we measure, the dependence is linear. But with more precision for differential measurements along eta we could check if this is strictly linear or not. 

//- You mentioned that "The impact of efficiency correction on <px> is also small like in the case of v1 as it is self normalized". What do you mean by self-normalized? I usually think of v1 as the modulation of jet yield w.r.t. the first-order even plane, so it is dimensionless and self-normalized. Should one think of <px> that way? It is not clear to me since <px> is not dimensionless.//

---- Yes, <px> is also modulation relative to the first order event plane. Since its the mean each jet comes in both the numerator and denominator and the reconstruction efficiency cancels out. 

 

//- You also mentioned "The pT windows are narrow, so the impact from pT dependence should also be small". There is a large smearing in jet pT due to background fluctuation. So it is not clear to me why a narrow selection in jet pT would help. I would think the other way around. While it is probably true that the impact of tracking efficiency on <px> is small due to survival bias (it is easier to find jets whose leading particles are not missing), the effect of background smearing is still there, right?//

----- For R=0.2 jets in particular, the background smearing is not so large. You could see for example here (https://drupal.star.bnl.gov/STAR/system/files/STAR_InclJet_AN_Master_v5-5_0.pdf), Fig 1.16. For 0-10% centrality, the width is about 15% for 11 GeV jets. This should be smaller for 10-40% centrality. These are also jets without leading pT selection. We did a smearing with 6% resolution and didnt see impact on the results. We can try increasing this by a factor of 2 to include impact of background smearing as well. 

//- If there is an asymmetry in pathlength, does one need to take into account possible background variation due to the asymmetry? I kind of remember this was looked into for the jet v2 measurement in Isobar.//

----- The bulk v1 is very small, at sub-percent level. For hard probes, it is an offset of the hard production profile and bulk distribution than variation of bulk density in azimuth. This also means that expansion from bulk v1 is also very small, unlike the case of v2. This should make it easier to evaluate the impact of medium expansion on path length and interactions as well

Let me know if you have further questions or comments

thanks,

Sooraj

On Tue, Sep 10, 2024 at 1:37 PM Ma, Rongrong <marr AT bnl.gov> wrote:

Hello Sooraj

I still have a few questions regarding to this statement "Mean momentum loss = 0.232 +/- 0.068 +/- 0.03 for R = 0.2 jets with 10 < pT,jet < 12 GeV/c ... for an estimated initial part length asymmetry of 0.2 fm". 

- 0.232 is the slope of <px> vs. eta. Why is it related to energy loss? Should I think of 0.232 as the average energy loss within the eta range of the measurement (|eta| < 1-R) or at a given eta? 

- Does the initial length asymmetry of 0.2 fm correspond to the slope of <x> vs. eta or <x> at a given eta? 

- If both 0.232 GeV/c and 0.2 fm are slopes, do you implicitly assume that energy loss does not depend on eta?

- You mentioned that "The impact of efficiency correction on <px> is also small like in the case of v1 as it is self normalized". What do you mean by self-normalized? I usually think of v1 as the modulation of jet yield w.r.t. the first-order even plane, so it is dimensionless and self-normalized. Should one think of <px> that way? It is not clear to me since <px> is not dimensionless. 

- You also mentioned "The pT windows are narrow, so the impact from pT dependence should also be small". There is a large smearing in jet pT due to background fluctuation. So it is not clear to me why a narrow selection in jet pT would help. I would think the other way around. While it is probably true that the impact of tracking efficiency on <px> is small due to survival bias (it is easier to find jets whose leading particles are not missing), the effect of background smearing is still there, right?

- If there is an asymmetry in pathlength, does one need to take into account possible background variation due to the asymmetry? I kind of remember this was looked into for the jet v2 measurement in Isobar. 

Best

Rongrong

On Sep 9, 2024, at 3:04 AM, Sooraj Radhakrishnan <skradhakrishnan AT lbl.gov> wrote:

Dear All,

   Please find the Preliminary request slides for the jet v1, <px> measurements here https://drupal.star.bnl.gov/STAR/system/files/JetV1PreliminaryRequest.pdf

thanks,

Sooraj

--

Sooraj Radhakrishnan

Research Scientist,

Department of Physics

Kent State University

Kent, OH 44242

Physicist Postdoctoral Affiliate

Nuclear Science Division
Lawrence Berkeley National Lab
MS70R0319, One Cyclotron Road

Berkeley, CA 94720

Ph: 510-495-2473

Email: skradhakrishnan AT lbl.gov

--

Sooraj Radhakrishnan

Research Scientist,

Department of Physics

Kent State University

Kent, OH 44242

Physicist Postdoctoral Affiliate

Nuclear Science Division
Lawrence Berkeley National Lab
MS70R0319, One Cyclotron Road

Berkeley, CA 94720

Ph: 510-495-2473

Email: skradhakrishnan AT lbl.gov