[Tensor] [EXTERNAL] Re: Tensor Experiments meeting today at 4pm (ET)

Mon May 8 19:12:29 EDT 2023

Hi tensor spin fans,

Here is a follow-up to my previous follow-up on HT in A_zz.

To make it easier to share my results of comparing b1 to the tensor HT contributions to A_zz in the convolution model, I used Maple V to collect the kinematic coefficients of the four tensor SF's b_{1,2,3,4} that enter in the photon helicity amplitudes F_{UT_{LL},L} and F_{UT_{LL},T}, which are the only ones that involve all four polarized SF's, per eq. (32) of the Cosyn et al. paper.

Those two amplitudes are the only ones that survive when the target field is aligned along the q vector,  as shown in the second line of eq. (47) of the cited paper, so they are the ones relevant for gauging the relative contributions to A_zz from leading and HT.

The symbolic math output is shown on the attached file. I left out the common factor
 (1/x_D)*\sqrt{2/3} in F_{..} to unclutter the final expression.

I then substituted values for the tensor SF's from the paper's Table 1 at two kinematic points: x=0.458, common to HERMES and Hall C kinematics; and x=0.248, HERMES kinematics with energies and angles available in Hall C. The results of the values of the kinematic coefficients and the individual and combined contributions of all four tensor SF's are given in the tables shown in the other attachment. As it can be seen, at x=0.458, the HT terms totally dominate A_zz. Even at the lower x=0.248, HT is dominant, in spite of some cancellations and kinematics more favorable to b1.

It would be useful to verify these results.

Cheers,

Oscar

________________________________________
From: Tensor <tensor-bounces at jlab.org> on behalf of Rondon-Aramayo, Oscar A (or) via Tensor <tensor at jlab.org>
Sent: Tuesday, May 2, 2023 9:58 PM
To: tensor at jlab.org; Karl Slifer
Subject: [Tensor] [EXTERNAL] Re: Tensor Experiments meeting today at 4pm (ET)

This is a follow-up on my previous message about HT in A_zz.

I'm attaching a plot of the absolute values of b_i from Table 1 of the reference on a log scale vs linear Bjorken x, with the x locations of our proposal indicated as vertical bars along the x axis,  to clarify the relative magnitudes of the HT terms and their significance in our region of interest.

As it can be seen, b_4 and especially b_3 at higher x look significant. For example, in F_UT_{LL}L, b_1 has a Bjorken x  factor supressing it relative to the term with b_{2,3,4}, which in turn is enhanced with an extra (1+gamma^2) coefficient. The terms with only b_2,3 and b_2,4 might partially cancel the second-term's b_{3,4} contributions, but at x=0.452, where both b_3 and b_4 have the same sign according to Table 1, they might dominate.

I've also updated the original plot to make b_4 at high x visible.

Cheers,

Oscar

________________________________________
From: Tensor <tensor-bounces at jlab.org> on behalf of Karl Slifer via Tensor <tensor at jlab.org>
Sent: Tuesday, May 2, 2023 6:24 AM
To: tensor at jlab.org
Subject: [Tensor] [EXTERNAL] Tensor Experiments meeting today at 4pm (ET)

Reminder of Tensor experiments meeting Today at 4pm (ET)

https://urldefense.proofpoint.com/v2/url?u=https-3A__unh.zoom.us_j_97641757857&d=DwIFAg&c=CJqEzB1piLOyyvZjb8YUQw&r=mbL-4Mr65FbyCWqCw73luw&m=unkxlQo5a-tFQOvWXd1va91NQQlJaKxyDpeEw6Trqh3eos3B1B42oAe8RviV7Y8C&s=UAZYsqcF8guXWguWfzkMUMiHrcTcBNywXEDopa9XMMc&e= <https://urldefense.proofpoint.com/v2/url?u=https-3A__nam12.safelinks.protection.outlook.com_-3Furl-3Dhttps-253A-252F-252Furldefense.proofpoint.com-252Fv2-252Furl-253Fu-253Dhttps-2D3A-5F-5Funh.zoom.us-5Fj-5F97641757857-2526d-253DDwMFAg-2526c-253DCJqEzB1piLOyyvZjb8YUQw-2526r-253DmbL-2D4Mr65FbyCWqCw73luw-2526m-253DmO2KcBS32FUa51mzNtpWHFfa-5FLSkM77Nqd2sdCU1GFPOlXTYORNdKqVag5pZdUE3-2526s-253DOWJFhL6DTu5zeeemfdmzsRmY-5FB6ywmFmGP5RDKuLSek-2526e-253D-26data-3D05-257C01-257Ckarl.slifer-2540unh.edu-257Cd2128e807f2d43b5f0ac08db27091521-257Cd6241893512d46dc8d2bbe47e25f5666-257C0-257C0-257C638146692213753801-257CUnknown-257CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0-253D-257C3000-257C-257C-257C-26sdata-3D8tFreWg7qrB7Vl5zpyLqCG6ydMjy4FivNRPp9Y0tWns-253D-26reserved-3D0&d=DwMFAg&c=CJqEzB1piLOyyvZjb8YUQw&r=mbL-4Mr65FbyCWqCw73luw&m=u1Fzm3KVZCl-5pm_pTmS7yeIk0A27_vZYa0_xrgerzUrhEapfc_UTm6_I7NYpKUe&s=L-j5WmVQ5dhIUILvW9h_jH0oZbQ9ekdY4S1_ydVBVVc&e=>

Please send any items to add to the agenda.

Draft Agenda

  1.  Brief summary of ECT* preparations
  2.  Jeopardy Review Prep
  3.  AOB

--
Prof. Karl Slifer
Nuclear Physics Group
University of New Hampshire
Department of Physics & Astronomy

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